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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '160.228', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 12, 'aut_gen_orders': [12, 4, 12, 12, 12, 12, 6, 12], 'aut_gens': [[1, 2, 4, 16], [163, 490, 732, 216], [491, 10, 724, 952], [881, 482, 486, 216], [561, 482, 12, 112], [803, 482, 246, 16], [321, 482, 492, 696], [89, 490, 4, 304], [403, 2, 246, 696]], 'aut_group': None, 'aut_hash': 4060798118887912709, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 49152, 'aut_permdeg': 68, 'aut_perms': [847201541533104018696478311909290380682502285839325057919204609867297591404040914012791357488326, 779628553323091807565952466608094000900468651282029856175987853547901414999066500907291811459324, 782367364451634378668318363094600921375276940993073272945916419864074107526412771526156042162804, 1301878823270683752113933249989016151243555833688776359038803051460419544919997981455379403510506, 203345269196047420473203565704165421202047643287861596274354572826781708555990968258235296628208, 1656891666919595558991701472323247703143625215153119888153658575532993450277234728081207329068952, 205596030793298087450163603946109252893283245540244347013529249979073655724881188980760479040332, 632152282530761706268169956833123640239934686938136817518493996770456397711152865527897406636094], 'aut_phi_ratio': 192.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 2, 2, 1], [3, 2, 1, 1], [4, 2, 2, 2], [4, 2, 8, 1], [4, 6, 8, 2], [5, 1, 4, 1], [6, 2, 1, 1], [6, 2, 2, 1], [6, 4, 2, 1], [10, 1, 4, 1], [10, 1, 8, 1], [10, 2, 8, 1], [12, 2, 4, 1], [12, 4, 2, 1], [12, 4, 8, 1], [15, 2, 4, 1], [20, 2, 8, 2], [20, 2, 32, 1], [20, 6, 32, 2], [30, 2, 4, 1], [30, 2, 8, 1], [30, 4, 8, 1], [60, 2, 16, 1], [60, 4, 8, 1], [60, 4, 32, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_3:(C_2\\times C_4\\times C_2^6.C_2^5)', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': None, 'autcent_hash': 1718285292446712972, 'autcent_nilpotent': True, 'autcent_order': 1024, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^8\\times C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '48.51', 'autcentquo_hash': 51, 'autcentquo_nilpotent': False, 'autcentquo_order': 48, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^2\\times D_6', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [3, 2, 1], [4, 2, 12], [4, 6, 16], [5, 1, 4], [6, 2, 3], [6, 4, 2], [10, 1, 12], [10, 2, 8], [12, 2, 4], [12, 4, 10], [15, 2, 4], [20, 2, 48], [20, 6, 64], [30, 2, 12], [30, 4, 8], [60, 2, 16], [60, 4, 40]], 'center_label': '20.5', 'center_order': 20, 'central_product': True, 'central_quotient': '48.51', 'commutator_count': 1, 'commutator_label': '6.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 10096, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['192.1075', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [3, 2, 1, 1], [4, 2, 1, 4], [4, 2, 2, 4], [4, 6, 1, 8], [4, 6, 2, 4], [5, 1, 4, 1], [6, 2, 1, 3], [6, 4, 1, 2], [10, 1, 4, 3], [10, 2, 4, 2], [12, 2, 2, 2], [12, 4, 1, 2], [12, 4, 2, 4], [15, 2, 4, 1], [20, 2, 4, 4], [20, 2, 8, 4], [20, 6, 4, 8], [20, 6, 8, 4], [30, 2, 4, 3], [30, 4, 4, 2], [60, 2, 8, 2], [60, 4, 4, 2], [60, 4, 8, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 5110560, 'exponent': 60, 'exponents_of_order': [6, 1, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '240.206', 'hash': 10096, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 2, 2, 6], 'inner_gens': [[1, 2, 4, 176], [1, 2, 484, 16], [1, 482, 4, 16], [801, 2, 4, 16]], 'inner_hash': 51, 'inner_nilpotent': False, 'inner_order': 48, 'inner_split': False, 'inner_tex': 'C_2^2\\times D_6', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 160], [2, 80], [4, 30]], 'label': '960.10096', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C5*C4^2.D6', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 32, 'number_characteristic_subgroups': 38, 'number_conjugacy_classes': 270, 'number_divisions': 80, 'number_normal_subgroups': 302, 'number_subgroup_autclasses': 168, 'number_subgroup_classes': 532, 'number_subgroups': 976, 'old_label': None, 'order': 960, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 7], [3, 2], [4, 120], [5, 4], [6, 14], [10, 28], [12, 48], [15, 8], [20, 480], [30, 56], [60, 192]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 4, 2, 4, 4, 4, 4], 'outer_gen_pows': [0, 0, 64, 0, 64, 0, 0], 'outer_gens': [[161, 482, 484, 472], [89, 482, 6, 368], [163, 2, 724, 496], [723, 490, 252, 600], [321, 490, 14, 304], [241, 482, 12, 696], [483, 482, 244, 216]], 'outer_group': None, 'outer_hash': 2254786802738627770, 'outer_nilpotent': True, 'outer_order': 1024, 'outer_permdeg': 128, 'outer_perms': [73766644167315114738804790016625678793082355628921460436681908558089873649705551110884961927108869271802396021012417190029803119182810687349561783760163025038702267360068190545402250177610945299575227635884376068142, 264580010069027461472337864709827586647744781205464948124486508143462994841408133988336985354977704362611480710684259972144203193649250887278122435600840407561228969963118973986608202326819578952079764959293911749408, 166379233996234159580285853520836038237666255685811120667396993534023866134947100280724868408037193385795591473649363456102871973896990128821262658727514773495521578404572834225868418232311668808132986999565679066814, 211946619914509325656142161151465579648574410358596761248950292981698369107014866538445448541784905958083249455206399722887437861660654404608639463319228645177517942707352682599965859728808499590712348466756702803029, 189967100298002644937992510126691201477783781647376635153738245052622584298736532141629091154213429927877491625983353628348142557713815803866551590793876060434014842809617287683453991312148527371115346858209401937941, 22453248187434572357427039501254732824681168430966894740284506153603436910264355103427023033438440462808732509891278029326495518124323799493752631811887721383976162739436240418532647377605636489121892791736296375456, 140596322960092000598651271090273976412579939749904383942927864654910518750376597105104030456618489779635916789055384614634598571147570325216545413855179164342116397898633166654555207723524791903431847467299707489376], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^7.C_2^3', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 28, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 4, 5], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 16], [4, 22], [8, 18], [16, 6], [32, 2]], 'representations': {'PC': {'code': 35750904539091277305045550929006858403847, 'gens': [1, 2, 3, 5], 'pres': [8, -2, -2, -2, -2, -2, -2, -3, -5, 3840, 5818, 66, 7044, 116, 16901, 141, 39430, 222]}, 'Perm': {'d': 28, 'gens': [12553020084755943525148416720, 22991339605126724732905804800, 34794315026039879700764774400, 46073266816666934362706052480, 33, 87091200, 57366271753015597261553664000, 5760]}}, 'schur_multiplier': [2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 20], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_5\\times C_4^2.D_6', 'transitive_degree': 480, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 142434291
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 10096, 'group_order': 960, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
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id: 142434402
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 10096, 'group_order': 960, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 480, 'size': 1}
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id: 142434484
{'aut_label': '2B', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 10096, 'group_order': 960, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 488, 'size': 1}
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id: 142434495
{'aut_label': '2B', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 10096, 'group_order': 960, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 8, 'size': 1}
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id: 142434506
{'aut_label': '2D', 'centralizer': '2.b1', 'counter': 5, 'group_counter': 10096, 'group_order': 960, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 2, 'size': 2}
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id: 142434517
{'aut_label': '2D', 'centralizer': '2.b1', 'counter': 6, 'group_counter': 10096, 'group_order': 960, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 10, 'size': 2}
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id: 142434528
{'aut_label': '3A', 'centralizer': '2.a1', 'counter': 7, 'group_counter': 10096, 'group_order': 960, 'label': '3A', 'order': 3, 'powers': [7, 1, 7], 'representative': 640, 'size': 2}
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id: 142434539
{'aut_label': '4A', 'centralizer': '2.a1', 'counter': 8, 'group_counter': 10096, 'group_order': 960, 'label': '4A', 'order': 4, 'powers': [2, 8, 8], 'representative': 240, 'size': 2}
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id: 142434550
{'aut_label': '4A', 'centralizer': '2.a1', 'counter': 9, 'group_counter': 10096, 'group_order': 960, 'label': '4B', 'order': 4, 'powers': [2, 9, 9], 'representative': 248, 'size': 2}
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id: 142434292
{'aut_label': '4C', 'centralizer': '2.c1', 'counter': 10, 'group_counter': 10096, 'group_order': 960, 'label': '4C', 'order': 4, 'powers': [2, 10, 10], 'representative': 242, 'size': 2}
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id: 142434303
{'aut_label': '4C', 'centralizer': '2.c1', 'counter': 11, 'group_counter': 10096, 'group_order': 960, 'label': '4D', 'order': 4, 'powers': [2, 11, 11], 'representative': 250, 'size': 2}
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id: 142434314
{'aut_label': '4E1', 'centralizer': '2.e1', 'counter': 12, 'group_counter': 10096, 'group_order': 960, 'label': '4E1', 'order': 4, 'powers': [4, 13, 12], 'representative': 12, 'size': 2}
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id: 142434325
{'aut_label': '4E1', 'centralizer': '2.e1', 'counter': 13, 'group_counter': 10096, 'group_order': 960, 'label': '4E-1', 'order': 4, 'powers': [4, 12, 13], 'representative': 4, 'size': 2}
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id: 142434336
{'aut_label': '4E1', 'centralizer': '2.e1', 'counter': 14, 'group_counter': 10096, 'group_order': 960, 'label': '4F1', 'order': 4, 'powers': [3, 15, 14], 'representative': 252, 'size': 2}
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id: 142434347
{'aut_label': '4E1', 'centralizer': '2.e1', 'counter': 15, 'group_counter': 10096, 'group_order': 960, 'label': '4F-1', 'order': 4, 'powers': [3, 14, 15], 'representative': 724, 'size': 2}
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id: 142434358
{'aut_label': '4E1', 'centralizer': '2.e1', 'counter': 16, 'group_counter': 10096, 'group_order': 960, 'label': '4G1', 'order': 4, 'powers': [3, 17, 16], 'representative': 494, 'size': 2}
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id: 142434369
{'aut_label': '4E1', 'centralizer': '2.e1', 'counter': 17, 'group_counter': 10096, 'group_order': 960, 'label': '4G-1', 'order': 4, 'powers': [3, 16, 17], 'representative': 6, 'size': 2}
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id: 142434380
{'aut_label': '4E1', 'centralizer': '2.e1', 'counter': 18, 'group_counter': 10096, 'group_order': 960, 'label': '4H1', 'order': 4, 'powers': [4, 19, 18], 'representative': 734, 'size': 2}
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id: 142434391
{'aut_label': '4E1', 'centralizer': '2.e1', 'counter': 19, 'group_counter': 10096, 'group_order': 960, 'label': '4H-1', 'order': 4, 'powers': [4, 18, 19], 'representative': 726, 'size': 2}
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id: 142434403
{'aut_label': '4I', 'centralizer': '6.d1', 'counter': 20, 'group_counter': 10096, 'group_order': 960, 'label': '4I', 'order': 4, 'powers': [2, 20, 20], 'representative': 1, 'size': 6}
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id: 142434414
{'aut_label': '4I', 'centralizer': '6.d1', 'counter': 21, 'group_counter': 10096, 'group_order': 960, 'label': '4J', 'order': 4, 'powers': [2, 21, 21], 'representative': 401, 'size': 6}
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id: 142434425
{'aut_label': '4I', 'centralizer': '6.d1', 'counter': 22, 'group_counter': 10096, 'group_order': 960, 'label': '4K', 'order': 4, 'powers': [2, 22, 22], 'representative': 9, 'size': 6}
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id: 142434436
{'aut_label': '4I', 'centralizer': '6.d1', 'counter': 23, 'group_counter': 10096, 'group_order': 960, 'label': '4L', 'order': 4, 'powers': [2, 23, 23], 'representative': 409, 'size': 6}
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id: 142434447
{'aut_label': '4I', 'centralizer': '6.d1', 'counter': 24, 'group_counter': 10096, 'group_order': 960, 'label': '4M', 'order': 4, 'powers': [2, 24, 24], 'representative': 3, 'size': 6}
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id: 142434458
{'aut_label': '4I', 'centralizer': '6.d1', 'counter': 25, 'group_counter': 10096, 'group_order': 960, 'label': '4N', 'order': 4, 'powers': [2, 25, 25], 'representative': 403, 'size': 6}
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id: 142434469
{'aut_label': '4I', 'centralizer': '6.d1', 'counter': 26, 'group_counter': 10096, 'group_order': 960, 'label': '4O', 'order': 4, 'powers': [2, 26, 26], 'representative': 11, 'size': 6}
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id: 142434480
{'aut_label': '4I', 'centralizer': '6.d1', 'counter': 27, 'group_counter': 10096, 'group_order': 960, 'label': '4P', 'order': 4, 'powers': [2, 27, 27], 'representative': 411, 'size': 6}
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id: 142434482
{'aut_label': '4Q1', 'centralizer': '6.f1', 'counter': 28, 'group_counter': 10096, 'group_order': 960, 'label': '4Q1', 'order': 4, 'powers': [3, 29, 28], 'representative': 5, 'size': 6}
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id: 142434483
{'aut_label': '4Q1', 'centralizer': '6.f1', 'counter': 29, 'group_counter': 10096, 'group_order': 960, 'label': '4Q-1', 'order': 4, 'powers': [3, 28, 29], 'representative': 493, 'size': 6}
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id: 142434485
{'aut_label': '4Q1', 'centralizer': '6.f1', 'counter': 30, 'group_counter': 10096, 'group_order': 960, 'label': '4R1', 'order': 4, 'powers': [3, 31, 30], 'representative': 405, 'size': 6}
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id: 142434486
{'aut_label': '4Q1', 'centralizer': '6.f1', 'counter': 31, 'group_counter': 10096, 'group_order': 960, 'label': '4R-1', 'order': 4, 'powers': [3, 30, 31], 'representative': 893, 'size': 6}
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id: 142434487
{'aut_label': '4Q1', 'centralizer': '6.f1', 'counter': 32, 'group_counter': 10096, 'group_order': 960, 'label': '4S1', 'order': 4, 'powers': [4, 33, 32], 'representative': 7, 'size': 6}
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id: 142434488
{'aut_label': '4Q1', 'centralizer': '6.f1', 'counter': 33, 'group_counter': 10096, 'group_order': 960, 'label': '4S-1', 'order': 4, 'powers': [4, 32, 33], 'representative': 15, 'size': 6}
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id: 142434489
{'aut_label': '4Q1', 'centralizer': '6.f1', 'counter': 34, 'group_counter': 10096, 'group_order': 960, 'label': '4T1', 'order': 4, 'powers': [4, 35, 34], 'representative': 407, 'size': 6}
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id: 142434490
{'aut_label': '4Q1', 'centralizer': '6.f1', 'counter': 35, 'group_counter': 10096, 'group_order': 960, 'label': '4T-1', 'order': 4, 'powers': [4, 34, 35], 'representative': 415, 'size': 6}
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id: 142434491
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 36, 'group_counter': 10096, 'group_order': 960, 'label': '5A1', 'order': 5, 'powers': [38, 39, 1], 'representative': 768, 'size': 1}
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id: 142434492
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 37, 'group_counter': 10096, 'group_order': 960, 'label': '5A-1', 'order': 5, 'powers': [39, 38, 1], 'representative': 192, 'size': 1}
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id: 142434493
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 38, 'group_counter': 10096, 'group_order': 960, 'label': '5A2', 'order': 5, 'powers': [37, 36, 1], 'representative': 576, 'size': 1}
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id: 142434494
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 39, 'group_counter': 10096, 'group_order': 960, 'label': '5A-2', 'order': 5, 'powers': [36, 37, 1], 'representative': 384, 'size': 1}
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id: 142434496
{'aut_label': '6A', 'centralizer': '2.a1', 'counter': 40, 'group_counter': 10096, 'group_order': 960, 'label': '6A', 'order': 6, 'powers': [7, 2, 40], 'representative': 160, 'size': 2}
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id: 142434497
{'aut_label': '6B', 'centralizer': '2.a1', 'counter': 41, 'group_counter': 10096, 'group_order': 960, 'label': '6B', 'order': 6, 'powers': [7, 4, 41], 'representative': 648, 'size': 2}
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id: 142434498
{'aut_label': '6B', 'centralizer': '2.a1', 'counter': 42, 'group_counter': 10096, 'group_order': 960, 'label': '6C', 'order': 6, 'powers': [7, 3, 42], 'representative': 168, 'size': 2}
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id: 142434499
{'aut_label': '6D', 'centralizer': '4.a1', 'counter': 43, 'group_counter': 10096, 'group_order': 960, 'label': '6D', 'order': 6, 'powers': [7, 5, 43], 'representative': 322, 'size': 4}
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id: 142434500
{'aut_label': '6D', 'centralizer': '4.a1', 'counter': 44, 'group_counter': 10096, 'group_order': 960, 'label': '6E', 'order': 6, 'powers': [7, 6, 44], 'representative': 330, 'size': 4}
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id: 142434501
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 45, 'group_counter': 10096, 'group_order': 960, 'label': '10A1', 'order': 10, 'powers': [36, 47, 2], 'representative': 864, 'size': 1}
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id: 142434502
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 46, 'group_counter': 10096, 'group_order': 960, 'label': '10A-1', 'order': 10, 'powers': [37, 48, 2], 'representative': 96, 'size': 1}
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id: 142434503
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 47, 'group_counter': 10096, 'group_order': 960, 'label': '10A3', 'order': 10, 'powers': [39, 46, 2], 'representative': 672, 'size': 1}
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id: 142434504
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 48, 'group_counter': 10096, 'group_order': 960, 'label': '10A-3', 'order': 10, 'powers': [38, 45, 2], 'representative': 288, 'size': 1}
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id: 142434505
{'aut_label': '10B1', 'centralizer': '1.a1', 'counter': 49, 'group_counter': 10096, 'group_order': 960, 'label': '10B1', 'order': 10, 'powers': [36, 51, 3], 'representative': 872, 'size': 1}
-
id: 142434507
{'aut_label': '10B1', 'centralizer': '1.a1', 'counter': 50, 'group_counter': 10096, 'group_order': 960, 'label': '10B-1', 'order': 10, 'powers': [37, 52, 3], 'representative': 104, 'size': 1}
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id: 142434508
{'aut_label': '10B1', 'centralizer': '1.a1', 'counter': 51, 'group_counter': 10096, 'group_order': 960, 'label': '10B3', 'order': 10, 'powers': [39, 50, 3], 'representative': 680, 'size': 1}
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id: 142434509
{'aut_label': '10B1', 'centralizer': '1.a1', 'counter': 52, 'group_counter': 10096, 'group_order': 960, 'label': '10B-3', 'order': 10, 'powers': [38, 49, 3], 'representative': 296, 'size': 1}
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id: 142434510
{'aut_label': '10B1', 'centralizer': '1.a1', 'counter': 53, 'group_counter': 10096, 'group_order': 960, 'label': '10C1', 'order': 10, 'powers': [36, 55, 4], 'representative': 392, 'size': 1}
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id: 142434511
{'aut_label': '10B1', 'centralizer': '1.a1', 'counter': 54, 'group_counter': 10096, 'group_order': 960, 'label': '10C-1', 'order': 10, 'powers': [37, 56, 4], 'representative': 584, 'size': 1}
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id: 142434512
{'aut_label': '10B1', 'centralizer': '1.a1', 'counter': 55, 'group_counter': 10096, 'group_order': 960, 'label': '10C3', 'order': 10, 'powers': [39, 54, 4], 'representative': 200, 'size': 1}
-
id: 142434513
{'aut_label': '10B1', 'centralizer': '1.a1', 'counter': 56, 'group_counter': 10096, 'group_order': 960, 'label': '10C-3', 'order': 10, 'powers': [38, 53, 4], 'representative': 776, 'size': 1}
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id: 142434514
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 57, 'group_counter': 10096, 'group_order': 960, 'label': '10D1', 'order': 10, 'powers': [39, 59, 5], 'representative': 194, 'size': 2}
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id: 142434515
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 58, 'group_counter': 10096, 'group_order': 960, 'label': '10D-1', 'order': 10, 'powers': [38, 60, 5], 'representative': 770, 'size': 2}
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id: 142434516
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 59, 'group_counter': 10096, 'group_order': 960, 'label': '10D3', 'order': 10, 'powers': [37, 58, 5], 'representative': 578, 'size': 2}
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id: 142434518
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 60, 'group_counter': 10096, 'group_order': 960, 'label': '10D-3', 'order': 10, 'powers': [36, 57, 5], 'representative': 386, 'size': 2}
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id: 142434519
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 61, 'group_counter': 10096, 'group_order': 960, 'label': '10E1', 'order': 10, 'powers': [39, 63, 6], 'representative': 202, 'size': 2}
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id: 142434520
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 62, 'group_counter': 10096, 'group_order': 960, 'label': '10E-1', 'order': 10, 'powers': [38, 64, 6], 'representative': 778, 'size': 2}
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id: 142434521
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 63, 'group_counter': 10096, 'group_order': 960, 'label': '10E3', 'order': 10, 'powers': [37, 62, 6], 'representative': 586, 'size': 2}
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id: 142434522
{'aut_label': '10D1', 'centralizer': '2.b1', 'counter': 64, 'group_counter': 10096, 'group_order': 960, 'label': '10E-3', 'order': 10, 'powers': [36, 61, 6], 'representative': 394, 'size': 2}
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id: 142434523
{'aut_label': '12A1', 'centralizer': '2.a1', 'counter': 65, 'group_counter': 10096, 'group_order': 960, 'label': '12A1', 'order': 12, 'powers': [40, 8, 66], 'representative': 80, 'size': 2}
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id: 142434524
{'aut_label': '12A1', 'centralizer': '2.a1', 'counter': 66, 'group_counter': 10096, 'group_order': 960, 'label': '12A5', 'order': 12, 'powers': [40, 8, 65], 'representative': 400, 'size': 2}
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id: 142434525
{'aut_label': '12A1', 'centralizer': '2.a1', 'counter': 67, 'group_counter': 10096, 'group_order': 960, 'label': '12B1', 'order': 12, 'powers': [40, 9, 68], 'representative': 88, 'size': 2}
-
id: 142434526
{'aut_label': '12A1', 'centralizer': '2.a1', 'counter': 68, 'group_counter': 10096, 'group_order': 960, 'label': '12B5', 'order': 12, 'powers': [40, 9, 67], 'representative': 408, 'size': 2}
-
id: 142434527
{'aut_label': '12C', 'centralizer': '4.a1', 'counter': 69, 'group_counter': 10096, 'group_order': 960, 'label': '12C', 'order': 12, 'powers': [40, 10, 69], 'representative': 82, 'size': 4}
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id: 142434529
{'aut_label': '12C', 'centralizer': '4.a1', 'counter': 70, 'group_counter': 10096, 'group_order': 960, 'label': '12D', 'order': 12, 'powers': [40, 11, 70], 'representative': 90, 'size': 4}
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id: 142434530
{'aut_label': '12E1', 'centralizer': '4.e1', 'counter': 71, 'group_counter': 10096, 'group_order': 960, 'label': '12E1', 'order': 12, 'powers': [41, 12, 71], 'representative': 324, 'size': 4}
-
id: 142434531
{'aut_label': '12E1', 'centralizer': '4.e1', 'counter': 72, 'group_counter': 10096, 'group_order': 960, 'label': '12E-1', 'order': 12, 'powers': [41, 13, 72], 'representative': 652, 'size': 4}
-
id: 142434532
{'aut_label': '12E1', 'centralizer': '4.e1', 'counter': 73, 'group_counter': 10096, 'group_order': 960, 'label': '12F1', 'order': 12, 'powers': [42, 14, 73], 'representative': 84, 'size': 4}
-
id: 142434533
{'aut_label': '12E1', 'centralizer': '4.e1', 'counter': 74, 'group_counter': 10096, 'group_order': 960, 'label': '12F-1', 'order': 12, 'powers': [42, 15, 74], 'representative': 892, 'size': 4}
-
id: 142434534
{'aut_label': '12E1', 'centralizer': '4.e1', 'counter': 75, 'group_counter': 10096, 'group_order': 960, 'label': '12G1', 'order': 12, 'powers': [42, 16, 75], 'representative': 326, 'size': 4}
-
id: 142434535
{'aut_label': '12E1', 'centralizer': '4.e1', 'counter': 76, 'group_counter': 10096, 'group_order': 960, 'label': '12G-1', 'order': 12, 'powers': [42, 17, 76], 'representative': 174, 'size': 4}
-
id: 142434536
{'aut_label': '12E1', 'centralizer': '4.e1', 'counter': 77, 'group_counter': 10096, 'group_order': 960, 'label': '12H1', 'order': 12, 'powers': [41, 18, 77], 'representative': 86, 'size': 4}
-
id: 142434537
{'aut_label': '12E1', 'centralizer': '4.e1', 'counter': 78, 'group_counter': 10096, 'group_order': 960, 'label': '12H-1', 'order': 12, 'powers': [41, 19, 78], 'representative': 414, 'size': 4}
-
id: 142434538
{'aut_label': '15A1', 'centralizer': '2.a1', 'counter': 79, 'group_counter': 10096, 'group_order': 960, 'label': '15A1', 'order': 15, 'powers': [81, 39, 7], 'representative': 128, 'size': 2}
-
id: 142434540
{'aut_label': '15A1', 'centralizer': '2.a1', 'counter': 80, 'group_counter': 10096, 'group_order': 960, 'label': '15A-1', 'order': 15, 'powers': [82, 38, 7], 'representative': 832, 'size': 2}
-
id: 142434541
{'aut_label': '15A1', 'centralizer': '2.a1', 'counter': 81, 'group_counter': 10096, 'group_order': 960, 'label': '15A2', 'order': 15, 'powers': [80, 36, 7], 'representative': 256, 'size': 2}
-
id: 142434542
{'aut_label': '15A1', 'centralizer': '2.a1', 'counter': 82, 'group_counter': 10096, 'group_order': 960, 'label': '15A-2', 'order': 15, 'powers': [79, 37, 7], 'representative': 704, 'size': 2}
-
id: 142434543
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 83, 'group_counter': 10096, 'group_order': 960, 'label': '20A1', 'order': 20, 'powers': [46, 85, 8], 'representative': 48, 'size': 2}
-
id: 142434544
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 84, 'group_counter': 10096, 'group_order': 960, 'label': '20A-1', 'order': 20, 'powers': [45, 86, 8], 'representative': 912, 'size': 2}
-
id: 142434545
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 85, 'group_counter': 10096, 'group_order': 960, 'label': '20A3', 'order': 20, 'powers': [48, 84, 8], 'representative': 144, 'size': 2}
-
id: 142434546
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 86, 'group_counter': 10096, 'group_order': 960, 'label': '20A-3', 'order': 20, 'powers': [47, 83, 8], 'representative': 816, 'size': 2}
-
id: 142434547
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 87, 'group_counter': 10096, 'group_order': 960, 'label': '20B1', 'order': 20, 'powers': [46, 89, 9], 'representative': 56, 'size': 2}
-
id: 142434548
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 88, 'group_counter': 10096, 'group_order': 960, 'label': '20B-1', 'order': 20, 'powers': [45, 90, 9], 'representative': 920, 'size': 2}
-
id: 142434549
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 89, 'group_counter': 10096, 'group_order': 960, 'label': '20B3', 'order': 20, 'powers': [48, 88, 9], 'representative': 152, 'size': 2}
-
id: 142434551
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 90, 'group_counter': 10096, 'group_order': 960, 'label': '20B-3', 'order': 20, 'powers': [47, 87, 9], 'representative': 824, 'size': 2}
-
id: 142434552
{'aut_label': '20C1', 'centralizer': '2.c1', 'counter': 91, 'group_counter': 10096, 'group_order': 960, 'label': '20C1', 'order': 20, 'powers': [46, 93, 10], 'representative': 50, 'size': 2}
-
id: 142434553
{'aut_label': '20C1', 'centralizer': '2.c1', 'counter': 92, 'group_counter': 10096, 'group_order': 960, 'label': '20C-1', 'order': 20, 'powers': [45, 94, 10], 'representative': 914, 'size': 2}
-
id: 142434554
{'aut_label': '20C1', 'centralizer': '2.c1', 'counter': 93, 'group_counter': 10096, 'group_order': 960, 'label': '20C3', 'order': 20, 'powers': [48, 92, 10], 'representative': 146, 'size': 2}
-
id: 142434555
{'aut_label': '20C1', 'centralizer': '2.c1', 'counter': 94, 'group_counter': 10096, 'group_order': 960, 'label': '20C-3', 'order': 20, 'powers': [47, 91, 10], 'representative': 818, 'size': 2}
-
id: 142434556
{'aut_label': '20C1', 'centralizer': '2.c1', 'counter': 95, 'group_counter': 10096, 'group_order': 960, 'label': '20D1', 'order': 20, 'powers': [46, 97, 11], 'representative': 58, 'size': 2}
-
id: 142434557
{'aut_label': '20C1', 'centralizer': '2.c1', 'counter': 96, 'group_counter': 10096, 'group_order': 960, 'label': '20D-1', 'order': 20, 'powers': [45, 98, 11], 'representative': 922, 'size': 2}
-
id: 142434558
{'aut_label': '20C1', 'centralizer': '2.c1', 'counter': 97, 'group_counter': 10096, 'group_order': 960, 'label': '20D3', 'order': 20, 'powers': [48, 96, 11], 'representative': 154, 'size': 2}
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id: 142434559
{'aut_label': '20C1', 'centralizer': '2.c1', 'counter': 98, 'group_counter': 10096, 'group_order': 960, 'label': '20D-3', 'order': 20, 'powers': [47, 95, 11], 'representative': 826, 'size': 2}
-
id: 142434560
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 99, 'group_counter': 10096, 'group_order': 960, 'label': '20E1', 'order': 20, 'powers': [53, 101, 12], 'representative': 204, 'size': 2}
-
id: 142434293
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 100, 'group_counter': 10096, 'group_order': 960, 'label': '20E-1', 'order': 20, 'powers': [54, 102, 13], 'representative': 772, 'size': 2}
-
id: 142434294
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 101, 'group_counter': 10096, 'group_order': 960, 'label': '20E3', 'order': 20, 'powers': [55, 105, 13], 'representative': 580, 'size': 2}
-
id: 142434295
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 102, 'group_counter': 10096, 'group_order': 960, 'label': '20E-3', 'order': 20, 'powers': [56, 106, 12], 'representative': 396, 'size': 2}
-
id: 142434296
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 103, 'group_counter': 10096, 'group_order': 960, 'label': '20E7', 'order': 20, 'powers': [56, 99, 13], 'representative': 388, 'size': 2}
-
id: 142434297
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 104, 'group_counter': 10096, 'group_order': 960, 'label': '20E-7', 'order': 20, 'powers': [55, 100, 12], 'representative': 588, 'size': 2}
-
id: 142434298
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 105, 'group_counter': 10096, 'group_order': 960, 'label': '20E9', 'order': 20, 'powers': [54, 103, 12], 'representative': 780, 'size': 2}
-
id: 142434299
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 106, 'group_counter': 10096, 'group_order': 960, 'label': '20E-9', 'order': 20, 'powers': [53, 104, 13], 'representative': 196, 'size': 2}
-
id: 142434300
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 107, 'group_counter': 10096, 'group_order': 960, 'label': '20F1', 'order': 20, 'powers': [50, 109, 14], 'representative': 60, 'size': 2}
-
id: 142434301
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 108, 'group_counter': 10096, 'group_order': 960, 'label': '20F-1', 'order': 20, 'powers': [49, 110, 15], 'representative': 916, 'size': 2}
-
id: 142434302
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 109, 'group_counter': 10096, 'group_order': 960, 'label': '20F3', 'order': 20, 'powers': [52, 113, 15], 'representative': 148, 'size': 2}
-
id: 142434304
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 110, 'group_counter': 10096, 'group_order': 960, 'label': '20F-3', 'order': 20, 'powers': [51, 114, 14], 'representative': 828, 'size': 2}
-
id: 142434305
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 111, 'group_counter': 10096, 'group_order': 960, 'label': '20F7', 'order': 20, 'powers': [51, 107, 15], 'representative': 340, 'size': 2}
-
id: 142434306
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 112, 'group_counter': 10096, 'group_order': 960, 'label': '20F-7', 'order': 20, 'powers': [52, 108, 14], 'representative': 636, 'size': 2}
-
id: 142434307
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 113, 'group_counter': 10096, 'group_order': 960, 'label': '20F9', 'order': 20, 'powers': [49, 111, 14], 'representative': 444, 'size': 2}
-
id: 142434308
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 114, 'group_counter': 10096, 'group_order': 960, 'label': '20F-9', 'order': 20, 'powers': [50, 112, 15], 'representative': 532, 'size': 2}
-
id: 142434309
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 115, 'group_counter': 10096, 'group_order': 960, 'label': '20G1', 'order': 20, 'powers': [49, 117, 16], 'representative': 686, 'size': 2}
-
id: 142434310
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 116, 'group_counter': 10096, 'group_order': 960, 'label': '20G-1', 'order': 20, 'powers': [50, 118, 17], 'representative': 774, 'size': 2}
-
id: 142434311
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 117, 'group_counter': 10096, 'group_order': 960, 'label': '20G3', 'order': 20, 'powers': [51, 121, 17], 'representative': 582, 'size': 2}
-
id: 142434312
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 118, 'group_counter': 10096, 'group_order': 960, 'label': '20G-3', 'order': 20, 'powers': [52, 122, 16], 'representative': 878, 'size': 2}
-
id: 142434313
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 119, 'group_counter': 10096, 'group_order': 960, 'label': '20G7', 'order': 20, 'powers': [52, 115, 17], 'representative': 390, 'size': 2}
-
id: 142434315
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 120, 'group_counter': 10096, 'group_order': 960, 'label': '20G-7', 'order': 20, 'powers': [51, 116, 16], 'representative': 110, 'size': 2}
-
id: 142434316
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 121, 'group_counter': 10096, 'group_order': 960, 'label': '20G9', 'order': 20, 'powers': [50, 119, 16], 'representative': 302, 'size': 2}
-
id: 142434317
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 122, 'group_counter': 10096, 'group_order': 960, 'label': '20G-9', 'order': 20, 'powers': [49, 120, 17], 'representative': 198, 'size': 2}
-
id: 142434318
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 123, 'group_counter': 10096, 'group_order': 960, 'label': '20H1', 'order': 20, 'powers': [54, 125, 18], 'representative': 542, 'size': 2}
-
id: 142434319
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 124, 'group_counter': 10096, 'group_order': 960, 'label': '20H-1', 'order': 20, 'powers': [53, 126, 19], 'representative': 918, 'size': 2}
-
id: 142434320
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 125, 'group_counter': 10096, 'group_order': 960, 'label': '20H3', 'order': 20, 'powers': [56, 129, 19], 'representative': 150, 'size': 2}
-
id: 142434321
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 126, 'group_counter': 10096, 'group_order': 960, 'label': '20H-3', 'order': 20, 'powers': [55, 130, 18], 'representative': 350, 'size': 2}
-
id: 142434322
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 127, 'group_counter': 10096, 'group_order': 960, 'label': '20H7', 'order': 20, 'powers': [55, 123, 19], 'representative': 342, 'size': 2}
-
id: 142434323
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 128, 'group_counter': 10096, 'group_order': 960, 'label': '20H-7', 'order': 20, 'powers': [56, 124, 18], 'representative': 158, 'size': 2}
-
id: 142434324
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 129, 'group_counter': 10096, 'group_order': 960, 'label': '20H9', 'order': 20, 'powers': [53, 127, 18], 'representative': 926, 'size': 2}
-
id: 142434326
{'aut_label': '20E1', 'centralizer': '2.e1', 'counter': 130, 'group_counter': 10096, 'group_order': 960, 'label': '20H-9', 'order': 20, 'powers': [54, 128, 19], 'representative': 534, 'size': 2}
-
id: 142434327
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 131, 'group_counter': 10096, 'group_order': 960, 'label': '20I1', 'order': 20, 'powers': [45, 133, 20], 'representative': 193, 'size': 6}
-
id: 142434328
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 132, 'group_counter': 10096, 'group_order': 960, 'label': '20I-1', 'order': 20, 'powers': [46, 134, 20], 'representative': 129, 'size': 6}
-
id: 142434329
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 133, 'group_counter': 10096, 'group_order': 960, 'label': '20I3', 'order': 20, 'powers': [47, 132, 20], 'representative': 577, 'size': 6}
-
id: 142434330
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 134, 'group_counter': 10096, 'group_order': 960, 'label': '20I-3', 'order': 20, 'powers': [48, 131, 20], 'representative': 65, 'size': 6}
-
id: 142434331
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 135, 'group_counter': 10096, 'group_order': 960, 'label': '20J1', 'order': 20, 'powers': [47, 137, 21], 'representative': 17, 'size': 6}
-
id: 142434332
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 136, 'group_counter': 10096, 'group_order': 960, 'label': '20J-1', 'order': 20, 'powers': [48, 138, 21], 'representative': 145, 'size': 6}
-
id: 142434333
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 137, 'group_counter': 10096, 'group_order': 960, 'label': '20J3', 'order': 20, 'powers': [46, 136, 21], 'representative': 209, 'size': 6}
-
id: 142434334
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 138, 'group_counter': 10096, 'group_order': 960, 'label': '20J-3', 'order': 20, 'powers': [45, 135, 21], 'representative': 593, 'size': 6}
-
id: 142434335
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 139, 'group_counter': 10096, 'group_order': 960, 'label': '20K1', 'order': 20, 'powers': [45, 141, 22], 'representative': 201, 'size': 6}
-
id: 142434337
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 140, 'group_counter': 10096, 'group_order': 960, 'label': '20K-1', 'order': 20, 'powers': [46, 142, 22], 'representative': 137, 'size': 6}
-
id: 142434338
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 141, 'group_counter': 10096, 'group_order': 960, 'label': '20K3', 'order': 20, 'powers': [47, 140, 22], 'representative': 585, 'size': 6}
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id: 142434339
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id: 142434340
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 143, 'group_counter': 10096, 'group_order': 960, 'label': '20L1', 'order': 20, 'powers': [47, 145, 23], 'representative': 25, 'size': 6}
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id: 142434341
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 144, 'group_counter': 10096, 'group_order': 960, 'label': '20L-1', 'order': 20, 'powers': [48, 146, 23], 'representative': 153, 'size': 6}
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id: 142434342
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 145, 'group_counter': 10096, 'group_order': 960, 'label': '20L3', 'order': 20, 'powers': [46, 144, 23], 'representative': 217, 'size': 6}
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id: 142434343
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 146, 'group_counter': 10096, 'group_order': 960, 'label': '20L-3', 'order': 20, 'powers': [45, 143, 23], 'representative': 601, 'size': 6}
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id: 142434344
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 147, 'group_counter': 10096, 'group_order': 960, 'label': '20M1', 'order': 20, 'powers': [45, 149, 24], 'representative': 195, 'size': 6}
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id: 142434345
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 148, 'group_counter': 10096, 'group_order': 960, 'label': '20M-1', 'order': 20, 'powers': [46, 150, 24], 'representative': 131, 'size': 6}
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id: 142434346
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 149, 'group_counter': 10096, 'group_order': 960, 'label': '20M3', 'order': 20, 'powers': [47, 148, 24], 'representative': 579, 'size': 6}
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id: 142434348
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 150, 'group_counter': 10096, 'group_order': 960, 'label': '20M-3', 'order': 20, 'powers': [48, 147, 24], 'representative': 67, 'size': 6}
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id: 142434349
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 151, 'group_counter': 10096, 'group_order': 960, 'label': '20N1', 'order': 20, 'powers': [47, 153, 25], 'representative': 19, 'size': 6}
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id: 142434350
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 152, 'group_counter': 10096, 'group_order': 960, 'label': '20N-1', 'order': 20, 'powers': [48, 154, 25], 'representative': 147, 'size': 6}
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id: 142434351
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 153, 'group_counter': 10096, 'group_order': 960, 'label': '20N3', 'order': 20, 'powers': [46, 152, 25], 'representative': 211, 'size': 6}
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id: 142434352
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 154, 'group_counter': 10096, 'group_order': 960, 'label': '20N-3', 'order': 20, 'powers': [45, 151, 25], 'representative': 595, 'size': 6}
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id: 142434353
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 155, 'group_counter': 10096, 'group_order': 960, 'label': '20O1', 'order': 20, 'powers': [45, 157, 26], 'representative': 203, 'size': 6}
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id: 142434354
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 156, 'group_counter': 10096, 'group_order': 960, 'label': '20O-1', 'order': 20, 'powers': [46, 158, 26], 'representative': 139, 'size': 6}
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id: 142434355
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 157, 'group_counter': 10096, 'group_order': 960, 'label': '20O3', 'order': 20, 'powers': [47, 156, 26], 'representative': 587, 'size': 6}
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id: 142434356
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 158, 'group_counter': 10096, 'group_order': 960, 'label': '20O-3', 'order': 20, 'powers': [48, 155, 26], 'representative': 75, 'size': 6}
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id: 142434357
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 159, 'group_counter': 10096, 'group_order': 960, 'label': '20P1', 'order': 20, 'powers': [47, 161, 27], 'representative': 27, 'size': 6}
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id: 142434359
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 160, 'group_counter': 10096, 'group_order': 960, 'label': '20P-1', 'order': 20, 'powers': [48, 162, 27], 'representative': 155, 'size': 6}
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id: 142434360
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 161, 'group_counter': 10096, 'group_order': 960, 'label': '20P3', 'order': 20, 'powers': [46, 160, 27], 'representative': 219, 'size': 6}
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id: 142434361
{'aut_label': '20I1', 'centralizer': '6.d1', 'counter': 162, 'group_counter': 10096, 'group_order': 960, 'label': '20P-3', 'order': 20, 'powers': [45, 159, 27], 'representative': 603, 'size': 6}
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id: 142434362
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 163, 'group_counter': 10096, 'group_order': 960, 'label': '20Q1', 'order': 20, 'powers': [49, 165, 28], 'representative': 197, 'size': 6}
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id: 142434363
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 164, 'group_counter': 10096, 'group_order': 960, 'label': '20Q-1', 'order': 20, 'powers': [50, 166, 29], 'representative': 141, 'size': 6}
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id: 142434364
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 165, 'group_counter': 10096, 'group_order': 960, 'label': '20Q3', 'order': 20, 'powers': [51, 169, 29], 'representative': 589, 'size': 6}
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id: 142434365
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 166, 'group_counter': 10096, 'group_order': 960, 'label': '20Q-3', 'order': 20, 'powers': [52, 170, 28], 'representative': 69, 'size': 6}
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id: 142434366
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 167, 'group_counter': 10096, 'group_order': 960, 'label': '20Q7', 'order': 20, 'powers': [52, 163, 29], 'representative': 77, 'size': 6}
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id: 142434367
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 168, 'group_counter': 10096, 'group_order': 960, 'label': '20Q-7', 'order': 20, 'powers': [51, 164, 28], 'representative': 581, 'size': 6}
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id: 142434368
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 169, 'group_counter': 10096, 'group_order': 960, 'label': '20Q9', 'order': 20, 'powers': [50, 167, 28], 'representative': 133, 'size': 6}
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id: 142434370
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 170, 'group_counter': 10096, 'group_order': 960, 'label': '20Q-9', 'order': 20, 'powers': [49, 168, 29], 'representative': 205, 'size': 6}
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id: 142434371
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 171, 'group_counter': 10096, 'group_order': 960, 'label': '20R1', 'order': 20, 'powers': [51, 173, 30], 'representative': 21, 'size': 6}
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id: 142434372
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 172, 'group_counter': 10096, 'group_order': 960, 'label': '20R-1', 'order': 20, 'powers': [52, 174, 31], 'representative': 157, 'size': 6}
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id: 142434373
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 173, 'group_counter': 10096, 'group_order': 960, 'label': '20R3', 'order': 20, 'powers': [50, 177, 31], 'representative': 221, 'size': 6}
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id: 142434374
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 174, 'group_counter': 10096, 'group_order': 960, 'label': '20R-3', 'order': 20, 'powers': [49, 178, 30], 'representative': 597, 'size': 6}
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id: 142434375
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 175, 'group_counter': 10096, 'group_order': 960, 'label': '20R7', 'order': 20, 'powers': [49, 171, 31], 'representative': 605, 'size': 6}
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id: 142434376
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 176, 'group_counter': 10096, 'group_order': 960, 'label': '20R-7', 'order': 20, 'powers': [50, 172, 30], 'representative': 213, 'size': 6}
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id: 142434377
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 177, 'group_counter': 10096, 'group_order': 960, 'label': '20R9', 'order': 20, 'powers': [52, 175, 30], 'representative': 149, 'size': 6}
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id: 142434378
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 178, 'group_counter': 10096, 'group_order': 960, 'label': '20R-9', 'order': 20, 'powers': [51, 176, 31], 'representative': 29, 'size': 6}
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id: 142434379
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 179, 'group_counter': 10096, 'group_order': 960, 'label': '20S1', 'order': 20, 'powers': [53, 181, 32], 'representative': 199, 'size': 6}
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id: 142434381
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 180, 'group_counter': 10096, 'group_order': 960, 'label': '20S-1', 'order': 20, 'powers': [54, 182, 33], 'representative': 143, 'size': 6}
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id: 142434382
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 181, 'group_counter': 10096, 'group_order': 960, 'label': '20S3', 'order': 20, 'powers': [55, 185, 33], 'representative': 591, 'size': 6}
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id: 142434383
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 182, 'group_counter': 10096, 'group_order': 960, 'label': '20S-3', 'order': 20, 'powers': [56, 186, 32], 'representative': 71, 'size': 6}
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id: 142434384
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 183, 'group_counter': 10096, 'group_order': 960, 'label': '20S7', 'order': 20, 'powers': [56, 179, 33], 'representative': 79, 'size': 6}
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id: 142434385
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 184, 'group_counter': 10096, 'group_order': 960, 'label': '20S-7', 'order': 20, 'powers': [55, 180, 32], 'representative': 583, 'size': 6}
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id: 142434386
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 185, 'group_counter': 10096, 'group_order': 960, 'label': '20S9', 'order': 20, 'powers': [54, 183, 32], 'representative': 135, 'size': 6}
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id: 142434387
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 186, 'group_counter': 10096, 'group_order': 960, 'label': '20S-9', 'order': 20, 'powers': [53, 184, 33], 'representative': 207, 'size': 6}
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id: 142434388
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 187, 'group_counter': 10096, 'group_order': 960, 'label': '20T1', 'order': 20, 'powers': [55, 189, 34], 'representative': 23, 'size': 6}
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id: 142434389
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 188, 'group_counter': 10096, 'group_order': 960, 'label': '20T-1', 'order': 20, 'powers': [56, 190, 35], 'representative': 159, 'size': 6}
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id: 142434390
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 189, 'group_counter': 10096, 'group_order': 960, 'label': '20T3', 'order': 20, 'powers': [54, 193, 35], 'representative': 223, 'size': 6}
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id: 142434392
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 190, 'group_counter': 10096, 'group_order': 960, 'label': '20T-3', 'order': 20, 'powers': [53, 194, 34], 'representative': 599, 'size': 6}
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id: 142434393
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 191, 'group_counter': 10096, 'group_order': 960, 'label': '20T7', 'order': 20, 'powers': [53, 187, 35], 'representative': 607, 'size': 6}
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id: 142434394
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 192, 'group_counter': 10096, 'group_order': 960, 'label': '20T-7', 'order': 20, 'powers': [54, 188, 34], 'representative': 215, 'size': 6}
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id: 142434395
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 193, 'group_counter': 10096, 'group_order': 960, 'label': '20T9', 'order': 20, 'powers': [56, 191, 34], 'representative': 151, 'size': 6}
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id: 142434396
{'aut_label': '20Q1', 'centralizer': '6.f1', 'counter': 194, 'group_counter': 10096, 'group_order': 960, 'label': '20T-9', 'order': 20, 'powers': [55, 192, 35], 'representative': 31, 'size': 6}
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id: 142434397
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 195, 'group_counter': 10096, 'group_order': 960, 'label': '30A1', 'order': 30, 'powers': [82, 46, 40], 'representative': 32, 'size': 2}
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id: 142434398
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 196, 'group_counter': 10096, 'group_order': 960, 'label': '30A-1', 'order': 30, 'powers': [81, 45, 40], 'representative': 928, 'size': 2}
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id: 142434399
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 197, 'group_counter': 10096, 'group_order': 960, 'label': '30A7', 'order': 30, 'powers': [79, 47, 40], 'representative': 224, 'size': 2}
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id: 142434400
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 198, 'group_counter': 10096, 'group_order': 960, 'label': '30A-7', 'order': 30, 'powers': [80, 48, 40], 'representative': 736, 'size': 2}
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id: 142434401
{'aut_label': '30B1', 'centralizer': '2.a1', 'counter': 199, 'group_counter': 10096, 'group_order': 960, 'label': '30B1', 'order': 30, 'powers': [81, 53, 41], 'representative': 136, 'size': 2}
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id: 142434404
{'aut_label': '30B1', 'centralizer': '2.a1', 'counter': 200, 'group_counter': 10096, 'group_order': 960, 'label': '30B-1', 'order': 30, 'powers': [82, 54, 41], 'representative': 840, 'size': 2}
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id: 142434405
{'aut_label': '30B1', 'centralizer': '2.a1', 'counter': 201, 'group_counter': 10096, 'group_order': 960, 'label': '30B7', 'order': 30, 'powers': [80, 56, 41], 'representative': 904, 'size': 2}
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id: 142434406
{'aut_label': '30B1', 'centralizer': '2.a1', 'counter': 202, 'group_counter': 10096, 'group_order': 960, 'label': '30B-7', 'order': 30, 'powers': [79, 55, 41], 'representative': 72, 'size': 2}
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id: 142434407
{'aut_label': '30B1', 'centralizer': '2.a1', 'counter': 203, 'group_counter': 10096, 'group_order': 960, 'label': '30C1', 'order': 30, 'powers': [82, 50, 42], 'representative': 40, 'size': 2}
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id: 142434408
{'aut_label': '30B1', 'centralizer': '2.a1', 'counter': 204, 'group_counter': 10096, 'group_order': 960, 'label': '30C-1', 'order': 30, 'powers': [81, 49, 42], 'representative': 936, 'size': 2}
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id: 142434409
{'aut_label': '30B1', 'centralizer': '2.a1', 'counter': 205, 'group_counter': 10096, 'group_order': 960, 'label': '30C7', 'order': 30, 'powers': [79, 51, 42], 'representative': 232, 'size': 2}
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id: 142434410
{'aut_label': '30B1', 'centralizer': '2.a1', 'counter': 206, 'group_counter': 10096, 'group_order': 960, 'label': '30C-7', 'order': 30, 'powers': [80, 52, 42], 'representative': 744, 'size': 2}
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id: 142434411
{'aut_label': '30D1', 'centralizer': '4.a1', 'counter': 207, 'group_counter': 10096, 'group_order': 960, 'label': '30D1', 'order': 30, 'powers': [79, 57, 43], 'representative': 66, 'size': 4}
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id: 142434412
{'aut_label': '30D1', 'centralizer': '4.a1', 'counter': 208, 'group_counter': 10096, 'group_order': 960, 'label': '30D-1', 'order': 30, 'powers': [80, 58, 43], 'representative': 258, 'size': 4}
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id: 142434413
{'aut_label': '30D1', 'centralizer': '4.a1', 'counter': 209, 'group_counter': 10096, 'group_order': 960, 'label': '30D7', 'order': 30, 'powers': [81, 60, 43], 'representative': 130, 'size': 4}
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id: 142434415
{'aut_label': '30D1', 'centralizer': '4.a1', 'counter': 210, 'group_counter': 10096, 'group_order': 960, 'label': '30D-7', 'order': 30, 'powers': [82, 59, 43], 'representative': 34, 'size': 4}
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id: 142434416
{'aut_label': '30D1', 'centralizer': '4.a1', 'counter': 211, 'group_counter': 10096, 'group_order': 960, 'label': '30E1', 'order': 30, 'powers': [79, 61, 44], 'representative': 74, 'size': 4}
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id: 142434417
{'aut_label': '30D1', 'centralizer': '4.a1', 'counter': 212, 'group_counter': 10096, 'group_order': 960, 'label': '30E-1', 'order': 30, 'powers': [80, 62, 44], 'representative': 266, 'size': 4}
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id: 142434418
{'aut_label': '30D1', 'centralizer': '4.a1', 'counter': 213, 'group_counter': 10096, 'group_order': 960, 'label': '30E7', 'order': 30, 'powers': [81, 64, 44], 'representative': 138, 'size': 4}
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id: 142434419
{'aut_label': '30D1', 'centralizer': '4.a1', 'counter': 214, 'group_counter': 10096, 'group_order': 960, 'label': '30E-7', 'order': 30, 'powers': [82, 63, 44], 'representative': 42, 'size': 4}
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id: 142434420
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 215, 'group_counter': 10096, 'group_order': 960, 'label': '60A1', 'order': 60, 'powers': [195, 83, 65], 'representative': 16, 'size': 2}
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id: 142434421
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 216, 'group_counter': 10096, 'group_order': 960, 'label': '60A-1', 'order': 60, 'powers': [196, 84, 65], 'representative': 784, 'size': 2}
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id: 142434422
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 217, 'group_counter': 10096, 'group_order': 960, 'label': '60A7', 'order': 60, 'powers': [197, 86, 66], 'representative': 272, 'size': 2}
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id: 142434423
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 218, 'group_counter': 10096, 'group_order': 960, 'label': '60A-7', 'order': 60, 'powers': [198, 85, 66], 'representative': 848, 'size': 2}
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id: 142434424
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 219, 'group_counter': 10096, 'group_order': 960, 'label': '60A13', 'order': 60, 'powers': [198, 85, 65], 'representative': 208, 'size': 2}
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id: 142434426
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 220, 'group_counter': 10096, 'group_order': 960, 'label': '60A-13', 'order': 60, 'powers': [197, 86, 65], 'representative': 592, 'size': 2}
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id: 142434427
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 221, 'group_counter': 10096, 'group_order': 960, 'label': '60A19', 'order': 60, 'powers': [196, 84, 66], 'representative': 464, 'size': 2}
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id: 142434428
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 222, 'group_counter': 10096, 'group_order': 960, 'label': '60A-19', 'order': 60, 'powers': [195, 83, 66], 'representative': 656, 'size': 2}
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id: 142434429
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 223, 'group_counter': 10096, 'group_order': 960, 'label': '60B1', 'order': 60, 'powers': [195, 87, 67], 'representative': 24, 'size': 2}
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id: 142434430
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 224, 'group_counter': 10096, 'group_order': 960, 'label': '60B-1', 'order': 60, 'powers': [196, 88, 67], 'representative': 792, 'size': 2}
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id: 142434431
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 225, 'group_counter': 10096, 'group_order': 960, 'label': '60B7', 'order': 60, 'powers': [197, 90, 68], 'representative': 280, 'size': 2}
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id: 142434432
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 226, 'group_counter': 10096, 'group_order': 960, 'label': '60B-7', 'order': 60, 'powers': [198, 89, 68], 'representative': 856, 'size': 2}
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id: 142434433
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 227, 'group_counter': 10096, 'group_order': 960, 'label': '60B13', 'order': 60, 'powers': [198, 89, 67], 'representative': 216, 'size': 2}
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id: 142434434
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 228, 'group_counter': 10096, 'group_order': 960, 'label': '60B-13', 'order': 60, 'powers': [197, 90, 67], 'representative': 600, 'size': 2}
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id: 142434435
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 229, 'group_counter': 10096, 'group_order': 960, 'label': '60B19', 'order': 60, 'powers': [196, 88, 68], 'representative': 472, 'size': 2}
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id: 142434437
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 230, 'group_counter': 10096, 'group_order': 960, 'label': '60B-19', 'order': 60, 'powers': [195, 87, 68], 'representative': 664, 'size': 2}
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id: 142434438
{'aut_label': '60C1', 'centralizer': '4.a1', 'counter': 231, 'group_counter': 10096, 'group_order': 960, 'label': '60C1', 'order': 60, 'powers': [195, 91, 69], 'representative': 18, 'size': 4}
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id: 142434439
{'aut_label': '60C1', 'centralizer': '4.a1', 'counter': 232, 'group_counter': 10096, 'group_order': 960, 'label': '60C-1', 'order': 60, 'powers': [196, 92, 69], 'representative': 786, 'size': 4}
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id: 142434440
{'aut_label': '60C1', 'centralizer': '4.a1', 'counter': 233, 'group_counter': 10096, 'group_order': 960, 'label': '60C7', 'order': 60, 'powers': [197, 94, 69], 'representative': 594, 'size': 4}
-
id: 142434441
{'aut_label': '60C1', 'centralizer': '4.a1', 'counter': 234, 'group_counter': 10096, 'group_order': 960, 'label': '60C-7', 'order': 60, 'powers': [198, 93, 69], 'representative': 210, 'size': 4}
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id: 142434442
{'aut_label': '60C1', 'centralizer': '4.a1', 'counter': 235, 'group_counter': 10096, 'group_order': 960, 'label': '60D1', 'order': 60, 'powers': [195, 95, 70], 'representative': 26, 'size': 4}
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id: 142434443
{'aut_label': '60C1', 'centralizer': '4.a1', 'counter': 236, 'group_counter': 10096, 'group_order': 960, 'label': '60D-1', 'order': 60, 'powers': [196, 96, 70], 'representative': 794, 'size': 4}
-
id: 142434444
{'aut_label': '60C1', 'centralizer': '4.a1', 'counter': 237, 'group_counter': 10096, 'group_order': 960, 'label': '60D7', 'order': 60, 'powers': [197, 98, 70], 'representative': 602, 'size': 4}
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id: 142434445
{'aut_label': '60C1', 'centralizer': '4.a1', 'counter': 238, 'group_counter': 10096, 'group_order': 960, 'label': '60D-7', 'order': 60, 'powers': [198, 97, 70], 'representative': 218, 'size': 4}
-
id: 142434446
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 239, 'group_counter': 10096, 'group_order': 960, 'label': '60E1', 'order': 60, 'powers': [199, 99, 71], 'representative': 68, 'size': 4}
-
id: 142434448
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 240, 'group_counter': 10096, 'group_order': 960, 'label': '60E-1', 'order': 60, 'powers': [200, 100, 72], 'representative': 268, 'size': 4}
-
id: 142434449
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 241, 'group_counter': 10096, 'group_order': 960, 'label': '60E7', 'order': 60, 'powers': [201, 103, 72], 'representative': 140, 'size': 4}
-
id: 142434450
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 242, 'group_counter': 10096, 'group_order': 960, 'label': '60E-7', 'order': 60, 'powers': [202, 104, 71], 'representative': 36, 'size': 4}
-
id: 142434451
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 243, 'group_counter': 10096, 'group_order': 960, 'label': '60E11', 'order': 60, 'powers': [199, 106, 72], 'representative': 76, 'size': 4}
-
id: 142434452
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 244, 'group_counter': 10096, 'group_order': 960, 'label': '60E-11', 'order': 60, 'powers': [200, 105, 71], 'representative': 260, 'size': 4}
-
id: 142434453
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 245, 'group_counter': 10096, 'group_order': 960, 'label': '60E17', 'order': 60, 'powers': [201, 102, 71], 'representative': 132, 'size': 4}
-
id: 142434454
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 246, 'group_counter': 10096, 'group_order': 960, 'label': '60E-17', 'order': 60, 'powers': [202, 101, 72], 'representative': 44, 'size': 4}
-
id: 142434455
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 247, 'group_counter': 10096, 'group_order': 960, 'label': '60F1', 'order': 60, 'powers': [203, 107, 73], 'representative': 20, 'size': 4}
-
id: 142434456
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 248, 'group_counter': 10096, 'group_order': 960, 'label': '60F-1', 'order': 60, 'powers': [204, 108, 74], 'representative': 796, 'size': 4}
-
id: 142434457
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 249, 'group_counter': 10096, 'group_order': 960, 'label': '60F7', 'order': 60, 'powers': [205, 111, 74], 'representative': 604, 'size': 4}
-
id: 142434459
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 250, 'group_counter': 10096, 'group_order': 960, 'label': '60F-7', 'order': 60, 'powers': [206, 112, 73], 'representative': 212, 'size': 4}
-
id: 142434460
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 251, 'group_counter': 10096, 'group_order': 960, 'label': '60F11', 'order': 60, 'powers': [203, 114, 74], 'representative': 28, 'size': 4}
-
id: 142434461
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 252, 'group_counter': 10096, 'group_order': 960, 'label': '60F-11', 'order': 60, 'powers': [204, 113, 73], 'representative': 788, 'size': 4}
-
id: 142434462
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 253, 'group_counter': 10096, 'group_order': 960, 'label': '60F17', 'order': 60, 'powers': [205, 110, 73], 'representative': 596, 'size': 4}
-
id: 142434463
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 254, 'group_counter': 10096, 'group_order': 960, 'label': '60F-17', 'order': 60, 'powers': [206, 109, 74], 'representative': 220, 'size': 4}
-
id: 142434464
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 255, 'group_counter': 10096, 'group_order': 960, 'label': '60G1', 'order': 60, 'powers': [204, 115, 75], 'representative': 70, 'size': 4}
-
id: 142434465
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 256, 'group_counter': 10096, 'group_order': 960, 'label': '60G-1', 'order': 60, 'powers': [203, 116, 76], 'representative': 270, 'size': 4}
-
id: 142434466
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 257, 'group_counter': 10096, 'group_order': 960, 'label': '60G7', 'order': 60, 'powers': [206, 119, 76], 'representative': 142, 'size': 4}
-
id: 142434467
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 258, 'group_counter': 10096, 'group_order': 960, 'label': '60G-7', 'order': 60, 'powers': [205, 120, 75], 'representative': 38, 'size': 4}
-
id: 142434468
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 259, 'group_counter': 10096, 'group_order': 960, 'label': '60G11', 'order': 60, 'powers': [204, 122, 76], 'representative': 78, 'size': 4}
-
id: 142434470
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 260, 'group_counter': 10096, 'group_order': 960, 'label': '60G-11', 'order': 60, 'powers': [203, 121, 75], 'representative': 262, 'size': 4}
-
id: 142434471
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 261, 'group_counter': 10096, 'group_order': 960, 'label': '60G17', 'order': 60, 'powers': [206, 118, 75], 'representative': 134, 'size': 4}
-
id: 142434472
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 262, 'group_counter': 10096, 'group_order': 960, 'label': '60G-17', 'order': 60, 'powers': [205, 117, 76], 'representative': 46, 'size': 4}
-
id: 142434473
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 263, 'group_counter': 10096, 'group_order': 960, 'label': '60H1', 'order': 60, 'powers': [200, 123, 77], 'representative': 22, 'size': 4}
-
id: 142434474
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 264, 'group_counter': 10096, 'group_order': 960, 'label': '60H-1', 'order': 60, 'powers': [199, 124, 78], 'representative': 798, 'size': 4}
-
id: 142434475
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 265, 'group_counter': 10096, 'group_order': 960, 'label': '60H7', 'order': 60, 'powers': [202, 127, 78], 'representative': 606, 'size': 4}
-
id: 142434476
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 266, 'group_counter': 10096, 'group_order': 960, 'label': '60H-7', 'order': 60, 'powers': [201, 128, 77], 'representative': 214, 'size': 4}
-
id: 142434477
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 267, 'group_counter': 10096, 'group_order': 960, 'label': '60H11', 'order': 60, 'powers': [200, 130, 78], 'representative': 30, 'size': 4}
-
id: 142434478
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 268, 'group_counter': 10096, 'group_order': 960, 'label': '60H-11', 'order': 60, 'powers': [199, 129, 77], 'representative': 790, 'size': 4}
-
id: 142434479
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 269, 'group_counter': 10096, 'group_order': 960, 'label': '60H17', 'order': 60, 'powers': [202, 126, 77], 'representative': 598, 'size': 4}
-
id: 142434481
{'aut_label': '60E1', 'centralizer': '4.e1', 'counter': 270, 'group_counter': 10096, 'group_order': 960, 'label': '60H-17', 'order': 60, 'powers': [201, 125, 78], 'representative': 222, 'size': 4}
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gps_qchar • Show schema
Hide schema
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id: 13388266
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1a', '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], 'schur_index': 1}
-
id: 13388277
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1b', '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], 'schur_index': 1}
-
id: 13388288
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1c', '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], 'schur_index': 1}
-
id: 13388299
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1d', '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], 'schur_index': 1}
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id: 13388310
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1], 'schur_index': 1}
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id: 13388321
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1], 'schur_index': 1}
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id: 13388332
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id: 13388274
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id: 13388275
{'cdim': 1, 'counter': 18, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1r', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, 2, 2, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 2, 0, 2, 2, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, -2, 0, 2, -2, 0, 0, -2, 2, 2, 2, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, -2, 2, 0, -2, 2, -2, 0, -2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388276
{'cdim': 1, 'counter': 19, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1s', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, 2, 2, 0, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, 2, 2, -2, -2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, 0, -2, -2, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, -2, 2, -2, -2, -2, -2, 0, -2, -2, 0, 0, -2, -2, -2, 2, 0, -2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 2, 2, 2, 2, 0, -2, 2, -2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388278
{'cdim': 1, 'counter': 20, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1t', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, 2, 2, 0, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, 2, 2, -2, -2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, 0, -2, -2, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, -2, 0, 0, 2, -2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, -2, 0, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, -2, -2, -2, -2, 0, 2, -2, 2, 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388279
{'cdim': 1, 'counter': 21, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1u', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, 2, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, -2, -2, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 0, 2, 0, 0, -2, -2, 2, 2, 2, 2, 0, -2, 2, 0, 0, 2, 2, -2, -2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, -2, -2, -2, -2, 0, -2, -2, -2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388280
{'cdim': 1, 'counter': 22, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1v', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, 2, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, -2, -2, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 0, -2, 0, 0, 2, 2, -2, -2, -2, -2, 0, 2, -2, 0, 0, -2, -2, 2, 2, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388281
{'cdim': 1, 'counter': 23, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1w', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, 2, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, -2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2, 0, 2, 2, 0, 0, 0, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, 0, -2, 0, 0, -2, 2, 2, 2, 2, -2, 0, -2, -2, 0, 0, -2, 2, -2, 2, 0, -2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, -2, -2, -2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388282
{'cdim': 1, 'counter': 24, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1x', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, 2, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, -2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2, 0, 2, 2, 0, 0, 0, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, -2, -2, -2, -2, 2, 0, 2, 2, 0, 0, 2, -2, 2, -2, 0, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, 2, 2, -2, 0, -2, -2, -2, 0, -2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388309
{'cdim': 2, 'counter': 49, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 13388311
{'cdim': 2, 'counter': 50, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.2b', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -1, -2, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -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: 13388312
{'cdim': 2, 'counter': 51, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.2c', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -1, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -2, 2, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, -2, 2, -2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -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: 13388313
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id: 13388300
{'cdim': 1, 'counter': 40, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1an', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -1, -1, -1, -1, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 13388318
{'cdim': 2, 'counter': 57, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.2i', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, 4, -2, 0, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 2, 2, -2, 2, -2, -4, 4, -4, -4, 4, -4, -4, 4, -4, -4, 4, -4, 4, 4, -4, -4, 4, -4, 4, -4, 2, 2, -2, -2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 4, 0, 4, 4, 0, 0, 0, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388319
{'cdim': 2, 'counter': 58, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.2j', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, 4, -2, 0, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 2, 2, -2, 2, -2, -4, 4, -4, -4, 4, -4, -4, 4, -4, -4, 4, -4, 4, 4, -4, -4, 4, -4, 4, -4, -2, -2, 2, 2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, -4, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, -4, 0, -4, -4, 0, 0, 0, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388320
{'cdim': 2, 'counter': 59, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.2k', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, -2, 0, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 2, 2, -2, -2, 2, -4, 4, -4, -4, 4, -4, -4, 4, -4, -4, 4, -4, -4, -4, 4, 4, -4, 4, -4, 4, -2, -2, 2, 2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 4, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, -4, -4, 0, 0, 0, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388322
{'cdim': 2, 'counter': 60, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.2l', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, -2, 0, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 2, 2, -2, -2, 2, -4, 4, -4, -4, 4, -4, -4, 4, -4, -4, 4, -4, -4, -4, 4, 4, -4, 4, -4, 4, 2, 2, -2, -2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, -4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, -4, 0, 4, 4, 0, 0, 0, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388336
{'cdim': 4, 'counter': 73, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.4a', 'multiplicity': 1, 'nt': [16, 20], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, -4, -4, 0, 0, 4, -4, 4, -4, -4, -4, -4, -4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 4, 4, -4, 4, -4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
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id: 13388337
{'cdim': 4, 'counter': 74, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.4b', 'multiplicity': 1, 'nt': [16, 20], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, 4, -4, 0, 0, -4, -4, -4, 4, -4, 4, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, -4, -4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
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id: 13388301
{'cdim': 1, 'counter': 41, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1ao', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -8, 8, 8, 0, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 8, -8, 8, 8, -8, 8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -8, -8, 8, -8, 8, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -2, 2, -8, -8, 8, 8, 0, -8, 0, 8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, 0, -2, -2, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, -2, 0, 2, -2, 0, 0, -2, 2, 2, 2, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, -2, 2, 0, -2, 2, -2, 0, -2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388302
{'cdim': 1, 'counter': 42, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1ap', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -8, 8, 8, 0, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, -8, -8, 8, -8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -8, -8, 8, -8, 8, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -2, 2, -8, -8, 8, 8, 0, -8, 0, 8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, -2, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, 0, -2, -2, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, -2, 0, 0, -2, -2, -2, -2, -2, 2, 0, -2, 2, 0, 0, 2, -2, -2, -2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, 2, -2, 0, 2, -2, 2, 0, 2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388303
{'cdim': 1, 'counter': 43, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1aq', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -8, 8, 8, 0, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 8, 8, 8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -8, -8, 8, -8, 8, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 8, 8, -8, -8, 0, 8, 0, -8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 2, 0, 2, 2, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, -2, 0, 0, 2, -2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, -2, 0, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, -2, -2, -2, -2, 0, 2, -2, 2, 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388304
{'cdim': 1, 'counter': 44, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1ar', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -8, 8, 8, 0, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, -8, 8, 8, -8, -8, -8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -8, -8, 8, -8, 8, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 8, 8, -8, -8, 0, 8, 0, -8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 2, 0, 2, 2, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, 2, 0, 0, -2, 2, -2, -2, -2, -2, 0, -2, -2, 0, 0, -2, -2, -2, 2, 0, -2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 2, 2, 2, 2, 0, -2, 2, -2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388305
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id: 13388306
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id: 13388307
{'cdim': 1, 'counter': 47, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1au', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 8, -8, 8, 0, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, -8, -8, 8, 8, -8, -8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -8, -8, 8, 8, -8, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, -2, 2, -2, -8, -8, 8, 8, 0, 8, 0, -8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, -2, -2, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 0, 2, 0, 0, 2, -2, -2, -2, -2, 2, 0, 2, 2, 0, 0, 2, -2, 2, -2, 0, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, 2, 2, -2, 0, -2, -2, -2, 0, -2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388308
{'cdim': 1, 'counter': 48, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.1av', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 8, -8, 8, 0, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, -8, 8, -8, -8, 8, 8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -8, -8, 8, 8, -8, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, -2, 2, -2, -8, -8, 8, 8, 0, 8, 0, -8, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, -2, -2, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 0, -2, 0, 0, -2, 2, 2, 2, 2, -2, 0, -2, -2, 0, 0, -2, 2, -2, 2, 0, -2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, -2, -2, -2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388323
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id: 13388324
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id: 13388325
{'cdim': 2, 'counter': 63, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.2o', 'multiplicity': 4, 'nt': [30, 12], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, -4, -8, 8, -8, -8, 8, 8, -8, -8, 8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -4, -4, -4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, -4, 4, -4, 4, -4, -4, -4, 4, -4, 1, 1, 1, 1, 2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 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: 13388326
{'cdim': 2, 'counter': 64, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.2p', 'multiplicity': 4, 'nt': [30, 12], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, -4, 8, -8, 8, 8, 8, -8, -8, -8, 8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -4, -4, -4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -4, -4, -4, -4, 4, 4, -4, 4, -4, 4, -4, 4, 4, -4, 1, 1, 1, 1, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -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: 13388327
{'cdim': 2, 'counter': 65, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.2q', 'multiplicity': 4, 'nt': [30, 12], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, -4, 8, 8, -8, -8, -8, -8, 8, 8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -4, -4, -4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, -4, -4, -4, -4, -4, 4, 4, 4, -4, 4, 1, 1, 1, 1, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, -2, -2, 2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -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: 13388328
{'cdim': 2, 'counter': 66, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.2r', 'multiplicity': 4, 'nt': [30, 12], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, -4, -8, -8, -8, -8, 8, -8, 8, 8, 8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -4, -4, -4, -4, -4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, -4, 4, 4, 4, 4, 4, -4, 4, -4, -4, 1, 1, 1, 1, -2, 2, 2, 2, -2, 2, -2, 2, -2, 2, -2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -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: 13388329
{'cdim': 2, 'counter': 67, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.2s', 'multiplicity': 4, 'nt': [30, 12], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, -4, -8, 8, 8, 8, -8, -8, -8, -8, -8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -4, -4, -4, -4, -4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, 4, -4, 4, -4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -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: 13388330
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id: 13388338
{'cdim': 4, 'counter': 75, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.4c', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, -4, 4, 4, 0, 0, 8, -8, 8, -8, -8, -8, -8, -8, -8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -4, -4, 4, -4, 4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
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id: 13388339
{'cdim': 4, 'counter': 76, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.4d', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 4, -4, 4, 0, 0, -8, -8, -8, 8, -8, 8, 8, -8, 8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 4, 4, 4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
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id: 13388331
{'cdim': 2, 'counter': 69, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.2u', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, -16, 16, -8, 0, -16, -16, 16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 8, 8, -8, 8, -8, 4, -4, 4, 4, -4, 4, 4, -4, 4, 4, -4, 4, -4, -4, 4, 4, -4, 4, -4, 4, 8, 8, -8, -8, 0, 8, 0, -8, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, -4, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, -4, 0, -4, -4, 0, 0, 0, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388333
{'cdim': 2, 'counter': 70, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.2v', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, -16, 16, -8, 0, 16, 16, -16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 8, 8, -8, 8, -8, 4, -4, 4, 4, -4, 4, 4, -4, 4, 4, -4, 4, -4, -4, 4, 4, -4, 4, -4, 4, -8, -8, 8, 8, 0, -8, 0, 8, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 4, 0, 4, 4, 0, 0, 0, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388334
{'cdim': 2, 'counter': 71, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.2w', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 16, -16, -8, 0, -16, 16, -16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 8, 8, -8, -8, 8, 4, -4, 4, 4, -4, 4, 4, -4, 4, 4, -4, 4, 4, 4, -4, -4, 4, -4, 4, -4, -8, -8, 8, 8, 0, 8, 0, -8, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, -4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, -4, 0, 4, 4, 0, 0, 0, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 0, -2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388335
{'cdim': 2, 'counter': 72, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.2x', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 16, -16, -8, 0, 16, -16, 16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 8, 8, -8, -8, 8, 4, -4, 4, 4, -4, 4, 4, -4, 4, 4, -4, 4, 4, 4, -4, -4, 4, -4, 4, -4, 8, 8, -8, -8, 0, -8, 0, 8, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 4, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, -4, -4, 0, 0, 0, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 0, 2, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388340
{'cdim': 4, 'counter': 77, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.4e', 'multiplicity': 4, 'nt': [80, 0], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 16, -16, -16, 0, 0, -4, 4, -4, 4, 4, 4, 4, 4, 4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -4, -4, 4, -4, 4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388341
{'cdim': 4, 'counter': 78, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.4f', 'multiplicity': 4, 'nt': [80, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -16, 16, -16, 0, 0, 4, 4, 4, -4, 4, -4, -4, 4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 4, 4, 4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388342
{'cdim': 4, 'counter': 79, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.4g', 'multiplicity': 8, 'nt': [240, 0], 'qdim': 32, 'qvalues': [32, -32, 32, -32, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, -16, 16, 16, 0, 0, -8, 8, -8, 8, 8, 8, 8, 8, 8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 4, 4, -4, 4, -4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13388344
{'cdim': 4, 'counter': 80, 'faithful': False, 'group': '960.10096', 'group_order': 960, 'image': None, 'label': '960.10096.4h', 'multiplicity': 8, 'nt': [240, 0], 'qdim': 32, 'qvalues': [32, 32, -32, -32, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, 16, -16, 16, 0, 0, 8, 8, 8, -8, 8, -8, -8, 8, -8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, -4, -4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 31622891
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id: 31623097
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id: 31623098
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id: 31623099
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id: 31623100
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id: 31623101
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id: 31623102
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id: 31623103
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id: 31623104
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id: 31623105
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id: 31623107
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id: 31623108
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id: 31623109
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id: 31623110
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id: 31623111
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id: 31623112
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id: 31623113
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id: 31623114
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id: 31623115
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id: 31623116
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id: 31623118
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id: 31623119
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id: 31623120
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id: 31623121
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id: 31623122
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id: 31623123
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id: 31623124
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id: 31623125
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id: 31623126
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id: 31623127
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id: 31623129
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id: 31623130
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id: 31623131
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id: 31623132
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id: 31623133
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id: 31623134
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id: 31623135
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id: 31623136
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id: 31623137
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id: 31623138
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id: 31623140
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id: 31623141
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id: 31623142
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id: 31623143
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id: 31623144
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id: 31623145
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id: 31623146
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id: 31623147
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id: 31623148
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id: 31623149
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id: 31623151
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id: 31623152
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id: 31623153
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id: 31623154
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id: 31623155
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id: 31623156
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id: 31623157
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id: 31623158
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id: 31623159
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id: 31623160
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id: 31622893
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id: 31622894
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id: 31622895
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id: 31622896
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id: 31622897
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id: 31622898
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id: 31622899
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id: 31622900
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id: 31622901
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id: 31622902
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id: 31622904
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id: 31622905
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id: 31622906
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id: 31622907
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id: 31622908
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id: 31622909
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id: 31622910
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id: 31622911
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id: 31622912
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id: 31622913
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id: 31622915
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id: 31622916
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id: 31622917
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id: 31622918
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id: 31622919
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id: 31622920
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id: 31622921
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id: 31622922
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id: 31622923
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id: 31622924
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id: 31622926
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id: 31622927
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id: 31622928
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id: 31622929
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id: 31622930
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id: 31622931
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id: 31622932
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id: 31622933
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id: 31622934
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id: 31622935
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id: 31622937
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id: 31622938
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id: 31622939
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id: 31622940
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id: 31622941
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id: 31622942
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id: 31622943
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id: 31622944
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id: 31622945
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id: 31622946
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id: 31622948
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id: 31622949
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id: 31622950
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id: 31622951
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id: 31622952
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id: 31622953
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id: 31622954
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id: 31622955
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id: 31622956
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id: 31622957
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id: 31622959
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id: 31623002
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id: 31623084
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id: 31623095
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id: 31623106
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id: 31623117
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id: 31623128
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id: 31623139
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id: 31623150
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id: 31622892
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id: 31622903
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id: 31622914
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id: 31622925
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id: 31622936
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id: 31622947
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id: 31622958
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id: 31622969
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id: 31622980
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id: 31622991
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id: 31623003
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id: 31623014
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id: 31623025
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id: 31623036
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id: 31623047
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id: 31623058
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id: 31623069
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id: 31623080
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id: 31623082
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id: 31623083
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id: 31623085
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id: 31623086
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id: 31623087
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id: 31623088
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id: 31623089
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id: 31623090
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id: 31623091
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id: 31623092
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id: 31623093
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id: 31623094
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id: 31623096
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id: 31622960
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id: 31622961
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id: 31622962
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id: 31622963
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id: 31622964
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id: 31622965
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id: 31622966
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id: 31622967
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id: 31622968
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id: 31622970
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id: 31622971
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id: 31622972
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id: 31622973
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id: 31622974
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id: 31622975
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id: 31622976
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id: 31622977
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id: 31622978
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id: 31622979
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id: 31622981
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id: 31622982
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id: 31622983
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id: 31622984
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id: 31622985
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id: 31622986
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id: 31622987
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id: 31622988
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id: 31622989
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id: 31622990
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id: 31622992
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id: 31622993
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id: 31622994
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id: 31622995
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id: 31622996
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id: 31622997
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id: 31622998
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id: 31622999
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id: 31623000
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id: 31623001
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id: 31623004
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id: 31623005
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id: 31623006
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id: 31623007
{'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 203, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.10096', 'group_counter': 10096, 'group_order': 960, 'image': None, 'image_isoclass': '60.11', 'image_order': 60, 'indicator': 0, 'kernel': '60.a1', 'kernel_order': 16, 'label': '960.10096.2s3', 'nt': [30, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-2, -2]], [[2, 1]], [[-2, -2]], [[2, 2]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[2, -1]], [[-2, 1]], [[-2, 2]], [[-2, 1]], [[-2, -2]], [[2, -1]], [[2, -2]], [[-2, 2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[-2, -1]], [[-2, -1]], [[2, -2]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[-2, 1]], [[2, -2]], [[2, 1]], [[-2, -2]], [[-2, 1]], [[-2, -2]], [[2, 2]], [[2, 2]], [[2, -2]], [[-2, 2]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[-2, 1]], [[-2, 2]], [[2, 2]], [[2, -1]], [[-2, -1]], [[2, 1]], [[-2, 2]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]]]}
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id: 31623008
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id: 31623009
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id: 31623010
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id: 31623011
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id: 31623012
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id: 31623013
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id: 31623015
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id: 31623016
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id: 31623017
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id: 31623018
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id: 31623019
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id: 31623020
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id: 31623021
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id: 31623022
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id: 31623023
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id: 31623024
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id: 31623026
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id: 31623027
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id: 31623028
{'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 222, 'cyclotomic_n': 20, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '960.10096', 'group_counter': 10096, 'group_order': 960, 'image': None, 'image_isoclass': '120.22', 'image_order': 120, 'indicator': 0, 'kernel': '120.e1', 'kernel_order': 8, 'label': '960.10096.2v6', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[2, 5]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 5]], [[2, 5]], [[-2, 5]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 6]], [[2, 8]], [[-2, 2]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[2, 2]], [[2, 8]], [[2, 6]], [[-2, 4]], [[-2, 2]], [[-2, 8]], [[2, 6]], [[2, 4]], [[2, 2]], [[-2, 8]], [[-2, 6]], [[-2, 4]], [[-2, 2]], [[2, 4]], [[-2, 8]], [[2, 2]], [[-2, 6]], [[-2, 4]], [[2, 8]], [[2, 6]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 5]], [[-1, 0]], [[-1, 5]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 5]], [[-1, 4]], [[1, 6]], [[-1, 8]], [[1, 2]], [[-2, 3]], [[2, 6]], [[-2, 3]], [[2, 2]], [[2, 7]], [[-2, 9]], [[-2, 3]], [[-2, 4]], [[2, 1]], [[2, 7]], [[2, 1]], [[-2, 3]], [[2, 4]], [[2, 8]], [[2, 7]], [[-2, 1]], [[2, 7]], [[-2, 9]], [[2, 3]], [[-2, 9]], [[2, 9]], [[2, 8]], [[-2, 6]], [[2, 9]], [[-2, 1]], [[-2, 4]], [[-2, 1]], [[-2, 8]], [[2, 6]], [[2, 3]], [[2, 1]], [[2, 3]], [[-2, 2]], [[2, 2]], [[-2, 8]], [[-2, 7]], [[-2, 7]], [[-2, 9]], [[2, 3]], [[-2, 1]], [[2, 1]], [[-2, 7]], [[-2, 2]], [[2, 4]], [[2, 9]], [[-2, 6]], [[-2, 7]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 8]], [[1, 4]], [[-1, 8]], [[-1, 2]], [[1, 8]], [[-1, 4]], [[1, 4]], [[-1, 6]], [[-1, 2]], [[-1, 6]], [[1, 2]], [[1, 6]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 8]], [[1, 6]], [[-1, 6]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 6]], [[-1, 6]], [[-1, 4]], [[-1, 8]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[1, 6]], [[1, 8]], [[1, 8]], [[1, 4]], [[1, 3]], [[1, 6]], [[-1, 1]], [[1, 7]], [[1, 3]], [[-1, 9]], [[-1, 6]], [[-1, 9]], [[1, 1]], [[1, 8]], [[1, 4]], [[-1, 7]], [[1, 1]], [[1, 9]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 7]], [[1, 1]], [[1, 9]], [[1, 7]], [[1, 2]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 9]], [[-1, 2]], [[1, 7]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 9]], [[-1, 8]], [[-1, 4]], [[-1, 7]], [[1, 9]], [[-1, 1]], [[-1, 3]]]}
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id: 31623029
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id: 31623030
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id: 31623031
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id: 31623032
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id: 31623033
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id: 31623034
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id: 31623035
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id: 31623037
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id: 31623038
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id: 31623039
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id: 31623040
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id: 31623041
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id: 31623042
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id: 31623043
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id: 31623044
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id: 31623045
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id: 31623046
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id: 31623048
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id: 31623049
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id: 31623050
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id: 31623051
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id: 31623052
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id: 31623053
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id: 31623054
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id: 31623055
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id: 31623056
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id: 31623057
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id: 31623059
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id: 31623060
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id: 31623061
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id: 31623062
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id: 31623063
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id: 31623064
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id: 31623065
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id: 31623066
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id: 31623067
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id: 31623068
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id: 31623070
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id: 31623071
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id: 31623072
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id: 31623073
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id: 31623074
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id: 31623075
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id: 31623076
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id: 31623077
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id: 31623078
{'center': '48.a1', 'center_index': 48, 'center_order': 20, 'counter': 268, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.10096', 'group_counter': 10096, 'group_order': 960, 'image': None, 'image_isoclass': '480.1162', 'image_order': 480, 'indicator': 0, 'kernel': '480.b1', 'kernel_order': 2, 'label': '960.10096.4h6', 'nt': [240, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[-4, 18]], [[4, 24]], [[-4, 6]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[4, 6]], [[-4, 24]], [[4, 18]], [[4, 12]], [[4, 6]], [[4, 24]], [[-4, 18]], [[-4, 12]], [[-4, 6]], [[-4, 24]], [[4, 18]], [[-4, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 18]], [[-2, 24]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 24]], [[-2, 12]], [[2, 24]], [[-2, 6]], [[2, 24]], [[2, 12]], [[2, 12]], [[2, 18]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 1], [4, 5], [4, 7], [2, 9], [-4, 13], [-4, 15]], [[-2, 1], [-2, 11]], [[-2, 1], [-2, 11]], [[2, 1], [2, 3], [-4, 7], [-2, 9], [-2, 11], [2, 15]], [[-2, 3], [4, 13]], [[2, 3], [-4, 13]], [[-2, 1], [-2, 3], [4, 7], [2, 9], [2, 11], [-2, 15]], [[4, 1], [-4, 5], [-4, 7], [-2, 9], [4, 13], [4, 15]], [[2, 1], [2, 11]], [[2, 1], [2, 3], [-4, 7], [-2, 9], [-2, 11], [2, 15]], [[2, 1], [2, 11]], [[-2, 3], [4, 13]], [[2, 3], [-4, 13]], [[4, 1], [-4, 5], [-4, 7], [-2, 9], [4, 13], [4, 15]], [[-4, 1], [4, 5], [4, 7], [2, 9], [-4, 13], [-4, 15]], [[-2, 1], [-2, 3], [4, 7], [2, 9], [2, 11], [-2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 31623079
{'center': '48.a1', 'center_index': 48, 'center_order': 20, 'counter': 269, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.10096', 'group_counter': 10096, 'group_order': 960, 'image': None, 'image_isoclass': '480.1162', 'image_order': 480, 'indicator': 0, 'kernel': '480.b1', 'kernel_order': 2, 'label': '960.10096.4h7', 'nt': [240, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 18]], [[4, 12]], [[-4, 6]], [[4, 24]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-4, 24]], [[4, 6]], [[-4, 12]], [[-4, 18]], [[-4, 24]], [[-4, 6]], [[4, 12]], [[4, 18]], [[4, 24]], [[4, 6]], [[-4, 12]], [[4, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18]], [[-2, 12]], [[2, 6]], [[-2, 24]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 18]], [[-2, 6]], [[2, 24]], [[-2, 6]], [[-2, 18]], [[-2, 18]], [[-2, 12]], [[-2, 24]], [[2, 12]], [[2, 24]], [[2, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, 11]], [[-4, 1], [4, 5], [4, 7], [2, 9], [-4, 13], [-4, 15]], [[-4, 1], [4, 5], [4, 7], [2, 9], [-4, 13], [-4, 15]], [[2, 3], [-4, 13]], [[-2, 1], [-2, 3], [4, 7], [2, 9], [2, 11], [-2, 15]], [[2, 1], [2, 3], [-4, 7], [-2, 9], [-2, 11], [2, 15]], [[-2, 3], [4, 13]], [[2, 1], [2, 11]], [[4, 1], [-4, 5], [-4, 7], [-2, 9], [4, 13], [4, 15]], [[2, 3], [-4, 13]], [[4, 1], [-4, 5], [-4, 7], [-2, 9], [4, 13], [4, 15]], [[-2, 1], [-2, 3], [4, 7], [2, 9], [2, 11], [-2, 15]], [[2, 1], [2, 3], [-4, 7], [-2, 9], [-2, 11], [2, 15]], [[2, 1], [2, 11]], [[-2, 1], [-2, 11]], [[-2, 3], [4, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 31623081
{'center': '48.a1', 'center_index': 48, 'center_order': 20, 'counter': 270, 'cyclotomic_n': 60, 'dim': 4, 'faithful': False, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '960.10096', 'group_counter': 10096, 'group_order': 960, 'image': None, 'image_isoclass': '480.1162', 'image_order': 480, 'indicator': 0, 'kernel': '480.b1', 'kernel_order': 2, 'label': '960.10096.4h8', 'nt': [240, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 12]], [[-4, 18]], [[4, 24]], [[-4, 6]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[4, 6]], [[-4, 24]], [[4, 18]], [[4, 12]], [[4, 6]], [[4, 24]], [[-4, 18]], [[-4, 12]], [[-4, 6]], [[-4, 24]], [[4, 18]], [[-4, 12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12]], [[2, 18]], [[-2, 24]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 24]], [[-2, 12]], [[2, 24]], [[-2, 6]], [[2, 24]], [[2, 12]], [[2, 12]], [[2, 18]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[-2, 18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1], [-4, 5], [-4, 7], [-2, 9], [4, 13], [4, 15]], [[2, 1], [2, 11]], [[2, 1], [2, 11]], [[-2, 1], [-2, 3], [4, 7], [2, 9], [2, 11], [-2, 15]], [[2, 3], [-4, 13]], [[-2, 3], [4, 13]], [[2, 1], [2, 3], [-4, 7], [-2, 9], [-2, 11], [2, 15]], [[-4, 1], [4, 5], [4, 7], [2, 9], [-4, 13], [-4, 15]], [[-2, 1], [-2, 11]], [[-2, 1], [-2, 3], [4, 7], [2, 9], [2, 11], [-2, 15]], [[-2, 1], [-2, 11]], [[2, 3], [-4, 13]], [[-2, 3], [4, 13]], [[-4, 1], [4, 5], [4, 7], [2, 9], [-4, 13], [-4, 15]], [[4, 1], [-4, 5], [-4, 7], [-2, 9], [4, 13], [4, 15]], [[2, 1], [2, 3], [-4, 7], [-2, 9], [-2, 11], [2, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 112312413
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': True, 'core_order': 960, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '960.10096.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '960.10096', 'subgroup_hash': 10096, 'subgroup_order': 960, 'subgroup_tex': 'C_5\\times C_4^2.D_6', 'supersolvable': True, 'sylow': 0}
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id: 112312493
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 480, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.922', 'subgroup_hash': 922, 'subgroup_order': 480, 'subgroup_tex': 'C_4^2:C_{30}', 'supersolvable': True, 'sylow': 0}
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id: 112312504
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 480, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.1150', 'subgroup_hash': 1150, 'subgroup_order': 480, 'subgroup_tex': 'C_{60}.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 112312515
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 480, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.805', 'subgroup_hash': 805, 'subgroup_order': 480, 'subgroup_tex': '(C_2\\times C_{12}):C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 112312526
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 480, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.756', 'subgroup_hash': 756, 'subgroup_order': 480, 'subgroup_tex': 'C_5\\times C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
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id: 112312537
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 480, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.2.e1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.747', 'subgroup_hash': 747, 'subgroup_order': 480, 'subgroup_tex': 'C_{60}:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312548
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 480, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.2.f1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.766', 'subgroup_hash': 766, 'subgroup_order': 480, 'subgroup_tex': 'C_3:(Q_8\\times C_{20})', 'supersolvable': True, 'sylow': 0}
-
id: 112312559
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 160, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '960.10096.3.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '320.1521', 'subgroup_hash': 1521, 'subgroup_order': 320, 'subgroup_tex': '(C_2\\times Q_8):C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312570
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 240, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.185', 'subgroup_hash': 185, 'subgroup_order': 240, 'subgroup_tex': 'C_2^2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 112312414
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 240, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.82', 'subgroup_hash': 82, 'subgroup_order': 240, 'subgroup_tex': 'C_2^2:C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 112312425
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 240, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.173', 'subgroup_hash': 173, 'subgroup_order': 240, 'subgroup_tex': 'C_{30}.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 112312436
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 240, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.64', 'subgroup_hash': 64, 'subgroup_order': 240, 'subgroup_tex': 'C_{30}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312447
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 240, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.81', 'subgroup_hash': 81, 'subgroup_order': 240, 'subgroup_tex': 'C_4\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 112312458
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': True, 'centralizer_order': 80, 'characteristic': False, 'core_order': 240, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.165', 'subgroup_hash': 165, 'subgroup_order': 240, 'subgroup_tex': 'C_{30}:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312469
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': True, 'centralizer_order': 80, 'characteristic': False, 'core_order': 240, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.58', 'subgroup_hash': 58, 'subgroup_order': 240, 'subgroup_tex': 'C_{12}:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312480
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 240, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.4.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.83', 'subgroup_hash': 83, 'subgroup_order': 240, 'subgroup_tex': 'C_4:C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 112312490
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 240, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.4.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.165', 'subgroup_hash': 165, 'subgroup_order': 240, 'subgroup_tex': 'C_{30}:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312491
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 240, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.4.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.56', 'subgroup_hash': 56, 'subgroup_order': 240, 'subgroup_tex': 'C_{12}:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312492
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 240, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.4.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.56', 'subgroup_hash': 56, 'subgroup_order': 240, 'subgroup_tex': 'C_{12}:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312494
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 240, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.4.k2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.k2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.57', 'subgroup_hash': 57, 'subgroup_order': 240, 'subgroup_tex': 'C_{30}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312495
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 240, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.4.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.165', 'subgroup_hash': 165, 'subgroup_order': 240, 'subgroup_tex': 'C_{30}:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312496
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': True, 'centralizer_order': 20, 'characteristic': True, 'core_order': 192, 'counter': 22, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '960.10096.5.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.1075', 'subgroup_hash': 1075, 'subgroup_order': 192, 'subgroup_tex': 'C_4^2.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 112312497
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 160, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.178', 'subgroup_hash': 178, 'subgroup_order': 160, 'subgroup_tex': 'C_4^2:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 112312498
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 80, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.230', 'subgroup_hash': 230, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 112312499
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 80, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.178', 'subgroup_hash': 178, 'subgroup_order': 160, 'subgroup_tex': 'C_4^2:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 112312500
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 80, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.178', 'subgroup_hash': 178, 'subgroup_order': 160, 'subgroup_tex': 'C_4^2:C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 112312501
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 80, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.6.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.180', 'subgroup_hash': 180, 'subgroup_order': 160, 'subgroup_tex': 'Q_8\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312502
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 80, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.6.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.180', 'subgroup_hash': 180, 'subgroup_order': 160, 'subgroup_tex': 'Q_8\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312503
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 120, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.47', 'subgroup_hash': 47, 'subgroup_order': 120, 'subgroup_tex': 'C_2^2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 112312505
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 120, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 112312506
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 120, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 112312507
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 120, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 112312508
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 120, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.24', 'subgroup_hash': 24, 'subgroup_order': 120, 'subgroup_tex': 'C_6:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312509
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 120, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.24', 'subgroup_hash': 24, 'subgroup_order': 120, 'subgroup_tex': 'C_6:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312510
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 120, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 112312511
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 120, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.24', 'subgroup_hash': 24, 'subgroup_order': 120, 'subgroup_tex': 'C_6:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312512
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': True, 'centralizer_order': 80, 'characteristic': False, 'core_order': 120, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.8.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.21', 'subgroup_hash': 21, 'subgroup_order': 120, 'subgroup_tex': 'C_{15}:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312513
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 120, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.8.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.21', 'subgroup_hash': 21, 'subgroup_order': 120, 'subgroup_tex': 'C_{15}:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312514
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 96, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.164', 'subgroup_hash': 164, 'subgroup_order': 96, 'subgroup_tex': 'C_4^2:C_6', 'supersolvable': True, 'sylow': 0}
-
id: 112312516
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 96, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.10.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.205', 'subgroup_hash': 205, 'subgroup_order': 96, 'subgroup_tex': 'C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 112312517
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 96, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.10.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.133', 'subgroup_hash': 133, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 112312518
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 96, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.10.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.84', 'subgroup_hash': 84, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 112312519
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 96, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.10.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.75', 'subgroup_hash': 75, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312520
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 96, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.10.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.94', 'subgroup_hash': 94, 'subgroup_order': 96, 'subgroup_tex': 'C_3:(C_4\\times Q_8)', 'supersolvable': True, 'sylow': 0}
-
id: 112312521
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 80, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312522
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': True, 'centralizer_order': 240, 'characteristic': False, 'core_order': 80, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.21', 'subgroup_hash': 21, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312523
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 80, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312524
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': True, 'centralizer_order': 240, 'characteristic': False, 'core_order': 80, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.22', 'subgroup_hash': 22, 'subgroup_order': 80, 'subgroup_tex': 'C_4:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312525
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312527
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.21', 'subgroup_hash': 21, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312528
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.47', 'subgroup_hash': 47, 'subgroup_order': 80, 'subgroup_tex': 'Q_8\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 112312529
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.12.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.22', 'subgroup_hash': 22, 'subgroup_order': 80, 'subgroup_tex': 'C_4:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312530
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.12.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.47', 'subgroup_hash': 47, 'subgroup_order': 80, 'subgroup_tex': 'Q_8\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 112312531
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.12.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312532
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.12.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312533
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.12.k2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.k2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.22', 'subgroup_hash': 22, 'subgroup_order': 80, 'subgroup_tex': 'C_4:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312534
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 40, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.12.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.47', 'subgroup_hash': 47, 'subgroup_order': 80, 'subgroup_tex': 'Q_8\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 112312535
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 20, 'characteristic': False, 'core_order': 32, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '960.10096.15.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '15.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.200', 'subgroup_hash': 200, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2.C_2^2', 'supersolvable': True, 'sylow': 2}
-
id: 112312536
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 60, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 112312538
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 60, 'counter': 60, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 112312539
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 61, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.10096.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 112312540
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 60, 'counter': 62, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.10096.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 112312541
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 60, 'counter': 63, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.1', 'subgroup_hash': 1, 'subgroup_order': 60, 'subgroup_tex': 'C_3:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312542
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 30, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 112312543
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 30, 'counter': 65, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.10096.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 112312544
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 30, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.1', 'subgroup_hash': 1, 'subgroup_order': 60, 'subgroup_tex': 'C_3:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312545
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 48, 'counter': 67, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.20.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 112312546
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 48, 'counter': 68, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.20.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 112312547
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 48, 'counter': 69, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.20.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.42', 'subgroup_hash': 42, 'subgroup_order': 48, 'subgroup_tex': 'C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 112312549
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 48, 'counter': 70, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.20.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312550
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 48, 'counter': 71, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.20.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 112312551
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': True, 'centralizer_order': 80, 'characteristic': False, 'core_order': 48, 'counter': 72, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.20.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.34', 'subgroup_hash': 34, 'subgroup_order': 48, 'subgroup_tex': 'C_6:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312552
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': True, 'centralizer_order': 80, 'characteristic': False, 'core_order': 48, 'counter': 73, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.20.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.13', 'subgroup_hash': 13, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312553
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 48, 'counter': 74, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.20.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.22', 'subgroup_hash': 22, 'subgroup_order': 48, 'subgroup_tex': 'C_4:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 112312554
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 48, 'counter': 75, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.20.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.34', 'subgroup_hash': 34, 'subgroup_order': 48, 'subgroup_tex': 'C_6:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312555
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 48, 'counter': 76, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.20.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.11', 'subgroup_hash': 11, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312556
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 48, 'counter': 77, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.20.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.11', 'subgroup_hash': 11, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312557
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 48, 'counter': 78, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.20.k2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.k2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.12', 'subgroup_hash': 12, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312558
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 48, 'counter': 79, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.20.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.34', 'subgroup_hash': 34, 'subgroup_order': 48, 'subgroup_tex': 'C_6:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312560
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 80, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 112312561
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 81, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312562
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 82, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312563
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 40, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312564
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 40, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312565
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 20, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312566
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 20, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.24.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312567
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.24.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312568
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.24.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312569
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.24.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.11', 'subgroup_hash': 11, 'subgroup_order': 40, 'subgroup_tex': 'C_5\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312571
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 32, 'counter': 90, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.30.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '30.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': 24, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 112312572
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 16, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.30.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.47', 'subgroup_hash': 47, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312573
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 16, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.30.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': 24, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 112312574
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 16, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.30.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': 24, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 112312575
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 16, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.30.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.26', 'subgroup_hash': 26, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312576
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 16, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.30.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.26', 'subgroup_hash': 26, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312577
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 30, 'counter': 96, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.10096.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 112312578
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 97, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.10096.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.50', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 112312579
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 15, 'counter': 98, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.10096.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 112312580
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 24, 'counter': 99, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.40.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 112312415
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 24, 'counter': 100, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.40.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 112312416
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 24, 'counter': 101, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.40.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 112312417
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 24, 'counter': 102, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.40.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 112312418
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 24, 'counter': 103, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.40.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312419
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 24, 'counter': 104, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.40.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312420
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 24, 'counter': 105, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.40.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 112312421
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 24, 'counter': 106, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.40.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312422
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': True, 'centralizer_order': 80, 'characteristic': False, 'core_order': 24, 'counter': 107, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.40.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312423
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 24, 'counter': 108, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.40.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312424
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 20, 'counter': 109, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.51', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 51, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 112312426
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 110, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.35', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 35, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 112312427
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 111, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.10096.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.35', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 35, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312428
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 112, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.10096.48.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.35', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 35, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312429
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 10, 'counter': 113, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.10096.48.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312430
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.48.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 112312431
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 115, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.10096.48.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312432
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 10, 'counter': 116, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.10096.48.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 112312433
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 16, 'counter': 117, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.60.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312434
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': True, 'centralizer_order': 240, 'characteristic': False, 'core_order': 16, 'counter': 118, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.60.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312435
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 16, 'counter': 119, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.60.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 112312437
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': True, 'centralizer_order': 240, 'characteristic': False, 'core_order': 16, 'counter': 120, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.60.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312438
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.60.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312439
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.60.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312440
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.60.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312441
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.60.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312442
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.60.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312443
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.60.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 112312444
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.60.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 112312445
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.60.k2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.k2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312446
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 8, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.60.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312448
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 15, 'counter': 130, 'cyclic': True, 'direct': False, 'hall': 15, 'label': '960.10096.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.200', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 200, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
-
id: 112312449
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 12, 'counter': 131, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.80.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.52', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 52, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 112312450
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 12, 'counter': 132, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.80.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 112312451
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 133, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.10096.80.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 112312452
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 12, 'counter': 134, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.10096.80.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 112312453
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 12, 'counter': 135, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.80.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '80.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312454
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 6, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.80.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 112312455
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 6, 'counter': 137, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.10096.80.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 112312456
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 6, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.80.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312457
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 10, 'counter': 139, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.10096.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.206', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 206, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 112312459
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 10, 'counter': 140, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.10096.96.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.217', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 217, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 112312460
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 5, 'counter': 141, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.10096.96.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 112312461
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 8, 'counter': 142, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.120.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.45', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 112312462
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 8, 'counter': 143, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.120.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.45', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312463
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 8, 'counter': 144, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.120.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.45', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312464
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 8, 'counter': 145, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.120.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.45', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312465
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 8, 'counter': 146, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.120.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.22', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 22, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312466
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 4, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.120.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312467
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 4, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.120.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312468
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.120.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 112312470
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.120.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312471
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.120.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
-
id: 112312472
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 6, 'counter': 152, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.10096.160.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.228', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 228, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 112312473
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 153, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.10096.160.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.233', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 233, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}.C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 112312474
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 3, 'counter': 154, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.10096.160.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 112312475
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 5, 'counter': 155, 'cyclic': True, 'direct': True, 'hall': 5, 'label': '960.10096.192.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1075', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1075, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_6', 'simple': True, 'solvable': True, 'special_labels': ['C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
-
id: 112312476
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 4, 'counter': 156, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.240.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.206', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 206, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}:C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 112312477
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 157, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.10096.240.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.166', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 166, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 112312478
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 158, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.10096.240.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.166', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 166, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 112312479
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 159, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.10096.240.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.166', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 166, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 112312481
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 160, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.10096.240.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 112312482
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.10096.240.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 112312483
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 162, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.10096.240.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 112312484
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 163, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.10096.240.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 112312485
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 3, 'counter': 164, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '960.10096.320.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '320.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '320.1521', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1521, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 320, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times Q_8):C_{20}', 'simple': True, 'solvable': True, 'special_labels': ['L2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
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id: 112312486
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 2, 'counter': 165, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.10096.480.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '480.1151', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1151, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{60}:C_2^3', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 112312487
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 2, 'counter': 166, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.10096.480.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '480.1162', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1162, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{60}.C_2^3', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 112312488
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 1, 'counter': 167, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.10096.480.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '480.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 112312489
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.10096', 'ambient_counter': 10096, 'ambient_order': 960, 'ambient_tex': 'C_5\\times C_4^2.D_6', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 1, 'counter': 168, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '960.10096.960.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '960.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '960.10096', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10096, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 960, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_4^2.D_6', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C8'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 112312431
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.g1', '24.d1'], 'contains': ['96.b1', '240.g1'], 'core': '96.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [4, 8, 192], 'label': '960.10096.48.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '48.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 112312432
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.h1', '24.g1'], 'contains': ['96.b1', '240.h1'], 'core': '96.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [5, 488, 192], 'label': '960.10096.48.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '48.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 112312434
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '60.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.f1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '20.b1', '30.a1', '30.d1'], 'contains': ['120.a1', '120.d1'], 'core': '60.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 4], 'label': '960.10096.60.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.b1', 'normal_contained_in': ['12.b1', '20.b1', '30.a1'], 'normal_contains': ['120.a1', '120.d1'], 'normalizer': '1.a1', 'old_label': '60.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 112312501
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.e1', '3.a1'], 'contains': ['12.c1', '12.g1', '12.h1', '12.k1', '12.k2', '30.e1'], 'core': '12.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 480, 720, 192, 4, 8], 'label': '960.10096.6.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 112312502
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.g1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.f1', '3.a1'], 'contains': ['12.d1', '12.i1', '12.j1', '12.k1', '12.k2', '30.f1'], 'core': '12.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [241, 480, 4, 192, 722, 8], 'label': '960.10096.6.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.f1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 112312433
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '60.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '20.a1', '30.a1', '30.b1', '30.c1'], 'contains': ['120.a1', '120.b1', '120.c1', '120.e1'], 'core': '60.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 8, 720], 'label': '960.10096.60.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.a1', 'normal_contained_in': ['12.a1', '20.a1', '30.a1'], 'normal_contains': ['120.a1', '120.b1', '120.c1', '120.e1'], 'normalizer': '1.a1', 'old_label': '60.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 112312413
{'ambient': '960.10096', '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': '48.a1', 'complements': ['960.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '2.f1', '3.a1', '5.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 192, 480, 4, 8, 640, 2, 240], 'label': '960.10096.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '2.f1', '5.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 112312414
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.d1'], 'contains': ['8.a1', '8.d1', '12.b1', '20.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 480, 640, 192, 4, 8], 'label': '960.10096.4.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.d1'], 'normal_contains': ['8.a1', '8.d1', '12.b1', '20.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 112312415
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '40.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '20.a1', '20.e1', '20.f1', '20.g1'], 'contains': ['80.a1', '80.c1', '120.b1'], 'core': '40.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 240, 640, 480], 'label': '960.10096.40.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.b1', 'normal_contained_in': ['8.b1', '20.a1', '20.e1', '20.f1', '20.g1'], 'normal_contains': ['80.a1', '80.c1', '120.b1'], 'normalizer': '1.a1', 'old_label': '40.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312416
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '20.a1', '20.h1', '20.i1', '20.j1'], 'contains': ['80.a1', '80.d1', '120.c1'], 'core': '40.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [242, 8, 640, 480], 'label': '960.10096.40.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.c1', 'normal_contained_in': ['8.c1', '20.a1', '20.h1', '20.i1', '20.j1'], 'normal_contains': ['80.a1', '80.d1', '120.c1'], 'normalizer': '1.a1', 'old_label': '40.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312417
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.e1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.d1', '20.b1', '20.e1', '20.h1', '20.k1', '20.k2'], 'contains': ['80.a1', '80.g1', '120.d1'], 'core': '40.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4, 480, 640, 8], 'label': '960.10096.40.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.d1', 'normal_contained_in': ['8.d1', '20.b1', '20.e1', '20.h1', '20.k1', '20.k2'], 'normal_contains': ['80.a1', '120.d1'], 'normalizer': '1.a1', 'old_label': '40.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312418
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '40.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.b1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.e1', '20.c1', '20.f1', '20.i1', '20.k1', '20.k2'], 'contains': ['80.a1', '80.e1', '120.f1'], 'core': '40.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 8, 480, 640], 'label': '960.10096.40.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.e1', 'normal_contained_in': ['8.e1', '20.c1', '20.f1', '20.i1', '20.k1', '20.k2'], 'normal_contains': ['80.a1', '80.e1'], 'normalizer': '1.a1', 'old_label': '40.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312419
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '40.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.d1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.f1', '20.d1', '20.g1', '20.j1', '20.k1', '20.k2'], 'contains': ['80.a1', '80.h1', '120.g1'], 'core': '40.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [5, 480, 488, 640], 'label': '960.10096.40.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.f1', 'normal_contained_in': ['8.f1', '20.d1', '20.g1', '20.j1', '20.k1', '20.k2'], 'normal_contains': ['80.a1'], 'normalizer': '1.a1', 'old_label': '40.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312420
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '40.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.g1', '20.a1', '20.l1'], 'contains': ['80.b1', '80.c1', '80.d1', '120.e1'], 'core': '40.g1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 240, 640, 480], 'label': '960.10096.40.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.g1', 'normal_contained_in': ['8.g1', '20.a1', '20.l1'], 'normal_contains': ['80.b1', '80.c1', '80.d1', '120.e1'], 'normalizer': '1.a1', 'old_label': '40.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312421
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '40.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['8.h1', '20.c1', '20.l1'], 'contains': ['80.b1', '80.e1', '120.h1'], 'core': '40.h1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [561, 2, 480, 640], 'label': '960.10096.40.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.h1', 'normal_contained_in': ['8.h1', '20.c1', '20.l1'], 'normal_contains': ['80.b1', '80.e1'], 'normalizer': '1.a1', 'old_label': '40.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312422
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '40.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.b1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['8.i1', '20.f1', '20.l1'], 'contains': ['80.c1', '80.e1', '120.i1'], 'core': '40.i1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 240, 480, 640], 'label': '960.10096.40.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.i1', 'normal_contained_in': ['8.i1', '20.f1', '20.l1'], 'normal_contains': ['80.c1', '80.e1'], 'normalizer': '1.a1', 'old_label': '40.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312423
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '40.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['8.j1', '20.i1', '20.l1'], 'contains': ['80.d1', '80.e1', '120.j1'], 'core': '40.j1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [561, 242, 480, 640], 'label': '960.10096.40.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.j1', 'normal_contained_in': ['8.j1', '20.i1', '20.l1'], 'normal_contains': ['80.d1', '80.e1'], 'normalizer': '1.a1', 'old_label': '40.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312424
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '48.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '24.a1', '24.b1', '24.c1', '24.d1', '24.f1', '24.g1'], 'contains': ['96.a1', '96.b1', '240.a1'], 'core': '48.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 192, 480], 'label': '960.10096.48.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1', '24.b1', '24.c1', '24.d1'], 'normal_contains': ['96.a1', '96.b1', '240.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312425
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '2.d1'], 'contains': ['8.a1', '8.e1', '8.h1', '12.e1', '20.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [561, 640, 8, 192, 2, 480], 'label': '960.10096.4.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': ['2.b1', '2.d1'], 'normal_contains': ['8.a1', '8.e1', '8.h1', '20.c1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312426
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '24.a1', '24.e1', '24.h1'], 'contains': ['96.a1', '96.c1', '240.b1'], 'core': '48.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 192, 480], 'label': '960.10096.48.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': ['16.b1', '24.a1', '24.e1'], 'normal_contains': ['96.a1', '240.b1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312427
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '24.b1', '24.e1', '24.i1'], 'contains': ['96.a1', '240.c1'], 'core': '48.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [720, 480, 192], 'label': '960.10096.48.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': ['16.c1', '24.b1', '24.e1'], 'normal_contains': ['96.a1', '240.c1'], 'normalizer': '1.a1', 'old_label': '48.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312428
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.d1', '24.c1', '24.e1', '24.j1'], 'contains': ['96.a1', '240.d1'], 'core': '48.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [722, 480, 192], 'label': '960.10096.48.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': ['16.d1', '24.c1', '24.e1'], 'normal_contains': ['96.a1', '240.d1'], 'normalizer': '1.a1', 'old_label': '48.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312429
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.d1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.e1', '24.f1', '24.h1', '24.i1', '24.j1'], 'contains': ['96.a1', '240.e1'], 'core': '96.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [3, 480, 192], 'label': '960.10096.48.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312430
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.f1', '24.a1'], 'contains': ['96.b1', '96.c1', '240.f1'], 'core': '96.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 192, 8], 'label': '960.10096.48.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '48.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312435
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '60.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.e1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['12.c1', '20.e1', '30.a1', '30.e1'], 'contains': ['120.b1', '120.d1'], 'core': '60.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4, 720], 'label': '960.10096.60.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.c1', 'normal_contained_in': ['12.c1', '20.e1', '30.a1'], 'normal_contains': ['120.b1', '120.d1'], 'normalizer': '1.a1', 'old_label': '60.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312436
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.c1', '2.d1'], 'contains': ['8.a1', '8.f1', '12.f1', '20.d1'], 'core': '4.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 640, 192, 488, 2, 480], 'label': '960.10096.4.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': ['2.c1', '2.d1'], 'normal_contains': ['8.a1', '8.f1', '20.d1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312437
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '60.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.g1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['12.d1', '20.h1', '30.a1', '30.f1'], 'contains': ['120.c1', '120.d1'], 'core': '60.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [722, 4], 'label': '960.10096.60.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.d1', 'normal_contained_in': ['12.d1', '20.h1', '30.a1'], 'normal_contains': ['120.c1', '120.d1'], 'normalizer': '1.a1', 'old_label': '60.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312438
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '60.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.e1', '20.c1', '30.b1', '30.d1'], 'contains': ['120.a1', '120.f1', '120.h1'], 'core': '120.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [561, 2, 8], 'label': '960.10096.60.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312439
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '60.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.f1', '20.d1', '30.c1', '30.d1'], 'contains': ['120.a1', '120.g1'], 'core': '120.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [5, 2], 'label': '960.10096.60.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312440
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '60.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.g1', '20.f1', '30.b1', '30.e1'], 'contains': ['120.b1', '120.f1', '120.i1'], 'core': '120.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [3, 8, 720], 'label': '960.10096.60.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312441
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '60.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.h1', '20.g1', '30.c1', '30.e1'], 'contains': ['120.b1', '120.g1'], 'core': '120.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [5, 720], 'label': '960.10096.60.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312442
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '60.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.i1', '20.i1', '30.b1', '30.f1'], 'contains': ['120.c1', '120.f1', '120.j1'], 'core': '120.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [241, 722, 8], 'label': '960.10096.60.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312443
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '60.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.j1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.j1', '20.j1', '30.c1', '30.f1'], 'contains': ['120.c1', '120.g1'], 'core': '120.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [5, 722], 'label': '960.10096.60.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312444
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '60.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.k1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.k1', '20.k1', '30.d1', '30.e1', '30.f1'], 'contains': ['120.d1', '120.f1', '120.g1'], 'core': '120.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [3, 724], 'label': '960.10096.60.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.k1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312445
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '60.k2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.k2', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.k2', '20.k2', '30.d1', '30.e1', '30.f1'], 'contains': ['120.d1', '120.f1', '120.g1'], 'core': '120.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [3, 4], 'label': '960.10096.60.k2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.k2', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.k2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.k2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312446
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '60.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.l1', '20.l1', '30.b1'], 'contains': ['120.e1', '120.h1', '120.i1', '120.j1'], 'core': '120.e1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1, 2, 720], 'label': '960.10096.60.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.l1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312447
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.e1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.e1'], 'contains': ['8.b1', '8.d1', '12.c1', '20.e1'], 'core': '4.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4, 480, 640, 192, 240, 8], 'label': '960.10096.4.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1', 'normal_contained_in': ['2.a1', '2.e1'], 'normal_contains': ['8.b1', '8.d1', '12.c1', '20.e1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312448
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': ['15.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.b1', '32.c1'], 'contains': ['192.a1', '320.a1'], 'core': '64.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [640, 192], 'label': '960.10096.64.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1'], 'normal_contains': ['192.a1', '320.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312449
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '80.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '40.a1', '40.b1', '40.c1', '40.d1', '40.e1', '40.f1'], 'contains': ['160.a1', '160.b1', '240.a1'], 'core': '80.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 480, 640], 'label': '960.10096.80.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.a1', 'normal_contained_in': ['16.a1', '40.a1', '40.b1', '40.c1', '40.d1', '40.e1', '40.f1'], 'normal_contains': ['160.a1', '160.b1', '240.a1'], 'normalizer': '1.a1', 'old_label': '80.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312450
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '80.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '40.a1', '40.g1', '40.h1'], 'contains': ['160.a1', '160.c1', '240.b1'], 'core': '80.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 480, 640], 'label': '960.10096.80.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.b1', 'normal_contained_in': ['16.b1', '40.a1', '40.g1', '40.h1'], 'normal_contains': ['160.a1', '240.b1'], 'normalizer': '1.a1', 'old_label': '80.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312451
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '80.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '40.b1', '40.g1', '40.i1'], 'contains': ['160.a1', '240.c1'], 'core': '80.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [240, 640, 480], 'label': '960.10096.80.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.c1', 'normal_contained_in': ['16.c1', '40.b1', '40.g1', '40.i1'], 'normal_contains': ['160.a1', '240.c1'], 'normalizer': '1.a1', 'old_label': '80.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312452
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.d1', '40.c1', '40.g1', '40.j1'], 'contains': ['160.a1', '240.d1'], 'core': '80.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [242, 640, 480], 'label': '960.10096.80.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.d1', 'normal_contained_in': ['16.d1', '40.c1', '40.g1', '40.j1'], 'normal_contains': ['160.a1', '240.d1'], 'normalizer': '1.a1', 'old_label': '80.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312453
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '80.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.b1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['16.e1', '40.e1', '40.h1', '40.i1', '40.j1'], 'contains': ['160.a1', '240.e1'], 'core': '80.e1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 480, 640], 'label': '960.10096.80.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.e1', 'normal_contained_in': ['16.e1', '40.e1', '40.h1', '40.i1', '40.j1'], 'normal_contains': ['160.a1'], 'normalizer': '1.a1', 'old_label': '80.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312454
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '80.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.f1', '40.a1'], 'contains': ['160.b1', '160.c1', '240.f1'], 'core': '160.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 8, 640], 'label': '960.10096.80.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '80.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312455
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '80.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.g1', '40.d1'], 'contains': ['160.b1', '240.g1'], 'core': '160.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [4, 640, 8], 'label': '960.10096.80.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '80.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312456
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '80.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.h1', '40.f1'], 'contains': ['160.b1', '240.h1'], 'core': '160.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [5, 488, 640], 'label': '960.10096.80.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '80.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312457
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '96.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '48.a1', '48.b1', '48.c1', '48.d1', '48.e1'], 'contains': ['192.a1', '480.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [480, 192], 'label': '960.10096.96.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.a1', '48.b1', '48.c1', '48.d1'], 'normal_contains': ['192.a1', '480.a1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312458
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '2.e1'], 'contains': ['8.b1', '8.e1', '8.i1', '12.g1', '20.f1'], 'core': '4.f1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 640, 240, 192, 8, 480], 'label': '960.10096.4.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': ['2.b1', '2.e1'], 'normal_contains': ['8.b1', '8.e1', '8.i1', '20.f1'], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312459
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '96.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '48.a1', '48.f1', '48.g1', '48.h1'], 'contains': ['192.a1', '480.b1'], 'core': '96.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 192], 'label': '960.10096.96.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': ['32.b1', '48.a1'], 'normal_contains': ['192.a1', '480.b1'], 'normalizer': '1.a1', 'old_label': '96.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312460
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '96.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '48.b1', '48.f1'], 'contains': ['192.a1', '480.c1'], 'core': '192.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 192], 'label': '960.10096.96.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '96.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312461
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '120.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '40.a1', '60.a1', '60.b1', '60.e1', '60.f1'], 'contains': ['240.a1', '240.b1', '240.f1'], 'core': '120.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 8, 480], 'label': '960.10096.120.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.a1', 'normal_contained_in': ['24.a1', '40.a1', '60.a1', '60.b1'], 'normal_contains': ['240.a1', '240.b1'], 'normalizer': '1.a1', 'old_label': '120.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312462
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '120.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '40.b1', '60.a1', '60.c1', '60.g1', '60.h1'], 'contains': ['240.a1', '240.c1'], 'core': '120.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 720], 'label': '960.10096.120.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.b1', 'normal_contained_in': ['24.b1', '40.b1', '60.a1', '60.c1'], 'normal_contains': ['240.a1', '240.c1'], 'normalizer': '1.a1', 'old_label': '120.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312463
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '120.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.c1', '40.c1', '60.a1', '60.d1', '60.i1', '60.j1'], 'contains': ['240.a1', '240.d1'], 'core': '120.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [722, 8], 'label': '960.10096.120.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.c1', 'normal_contained_in': ['24.c1', '40.c1', '60.a1', '60.d1'], 'normal_contains': ['240.a1', '240.d1'], 'normalizer': '1.a1', 'old_label': '120.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312464
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '120.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.e1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['24.d1', '40.d1', '60.b1', '60.c1', '60.d1', '60.k1', '60.k2'], 'contains': ['240.a1', '240.g1'], 'core': '120.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4, 480], 'label': '960.10096.120.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.d1', 'normal_contained_in': ['24.d1', '40.d1', '60.b1', '60.c1', '60.d1'], 'normal_contains': ['240.a1'], 'normalizer': '1.a1', 'old_label': '120.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312465
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '120.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['24.e1', '40.g1', '60.a1', '60.l1'], 'contains': ['240.b1', '240.c1', '240.d1'], 'core': '120.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 720], 'label': '960.10096.120.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.e1', 'normal_contained_in': ['24.e1', '40.g1', '60.a1'], 'normal_contains': ['240.b1', '240.c1', '240.d1'], 'normalizer': '1.a1', 'old_label': '120.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312466
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '120.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.f1', '40.e1', '60.e1', '60.g1', '60.i1', '60.k1', '60.k2'], 'contains': ['240.a1', '240.e1'], 'core': '240.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 8], 'label': '960.10096.120.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '120.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312467
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '120.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.g1', '40.f1', '60.f1', '60.h1', '60.j1', '60.k1', '60.k2'], 'contains': ['240.a1', '240.h1'], 'core': '240.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [5, 480], 'label': '960.10096.120.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '120.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312468
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '120.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.e1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.h1', '40.h1', '60.e1', '60.l1'], 'contains': ['240.b1', '240.e1'], 'core': '240.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [561, 2], 'label': '960.10096.120.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '120.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312469
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.d1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.c1', '2.e1'], 'contains': ['8.b1', '8.f1', '12.h1', '20.g1'], 'core': '4.g1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 640, 192, 488, 240, 480], 'label': '960.10096.4.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': ['2.c1', '2.e1'], 'normal_contains': ['8.b1', '8.f1', '20.g1'], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312470
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '120.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.i1', '40.i1', '60.g1', '60.l1'], 'contains': ['240.c1', '240.e1'], 'core': '240.c1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [3, 720], 'label': '960.10096.120.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '120.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312471
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '120.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.j1', '40.j1', '60.i1', '60.l1'], 'contains': ['240.d1', '240.e1'], 'core': '240.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [241, 722], 'label': '960.10096.120.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '120.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312472
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '160.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '80.a1', '80.b1', '80.c1', '80.d1', '80.e1'], 'contains': ['320.a1', '480.a1'], 'core': '160.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [480, 640], 'label': '960.10096.160.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '160.a1', 'normal_contained_in': ['32.a1', '80.a1', '80.b1', '80.c1', '80.d1', '80.e1'], 'normal_contains': ['320.a1', '480.a1'], 'normalizer': '1.a1', 'old_label': '160.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312473
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '160.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '80.a1', '80.f1', '80.g1', '80.h1'], 'contains': ['320.a1', '480.b1'], 'core': '160.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 640], 'label': '960.10096.160.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '160.b1', 'normal_contained_in': ['32.b1', '80.a1'], 'normal_contains': ['320.a1', '480.b1'], 'normalizer': '1.a1', 'old_label': '160.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312474
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '160.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '80.b1', '80.f1'], 'contains': ['320.a1', '480.c1'], 'core': '320.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 640], 'label': '960.10096.160.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '160.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312475
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '192.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['5.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '96.a1', '96.b1', '96.c1'], 'contains': ['960.a1'], 'core': '192.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [192], 'label': '960.10096.192.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.a1', 'normal_contained_in': ['64.a1', '96.a1', '96.b1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '192.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312476
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '240.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '80.a1', '120.a1', '120.b1', '120.c1', '120.d1', '120.f1', '120.g1'], 'contains': ['480.a1', '480.b1'], 'core': '240.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 480], 'label': '960.10096.240.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.a1', 'normal_contained_in': ['48.a1', '80.a1', '120.a1', '120.b1', '120.c1', '120.d1'], 'normal_contains': ['480.a1', '480.b1'], 'normalizer': '1.a1', 'old_label': '240.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312477
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '240.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['48.b1', '80.b1', '120.a1', '120.e1', '120.h1'], 'contains': ['480.a1', '480.c1'], 'core': '240.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 480], 'label': '960.10096.240.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.b1', 'normal_contained_in': ['48.b1', '80.b1', '120.a1', '120.e1'], 'normal_contains': ['480.a1'], 'normalizer': '1.a1', 'old_label': '240.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312478
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '240.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['48.c1', '80.c1', '120.b1', '120.e1', '120.i1'], 'contains': ['480.a1'], 'core': '240.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [720], 'label': '960.10096.240.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.c1', 'normal_contained_in': ['48.c1', '80.c1', '120.b1', '120.e1'], 'normal_contains': ['480.a1'], 'normalizer': '1.a1', 'old_label': '240.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312544
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.f1'], 'contains': ['32.b1', '48.h1', '80.h1'], 'core': '32.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [5, 488, 640, 192], 'label': '960.10096.16.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '16.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312479
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '240.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['48.d1', '80.d1', '120.c1', '120.e1', '120.j1'], 'contains': ['480.a1'], 'core': '240.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [722], 'label': '960.10096.240.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.d1', 'normal_contained_in': ['48.d1', '80.d1', '120.c1', '120.e1'], 'normal_contains': ['480.a1'], 'normalizer': '1.a1', 'old_label': '240.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312480
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.f1'], 'contains': ['8.c1', '8.d1', '12.d1', '20.h1'], 'core': '4.h1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [242, 480, 640, 192, 4, 8], 'label': '960.10096.4.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1', 'normal_contained_in': ['2.a1', '2.f1'], 'normal_contains': ['8.c1', '8.d1', '12.d1', '20.h1'], 'normalizer': '1.a1', 'old_label': '4.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312481
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '240.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.d1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.e1', '80.e1', '120.f1', '120.h1', '120.i1', '120.j1'], 'contains': ['480.a1'], 'core': '480.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [3], 'label': '960.10096.240.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '240.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312482
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '240.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.f1', '80.f1', '120.a1'], 'contains': ['480.b1', '480.c1'], 'core': '480.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 8], 'label': '960.10096.240.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '240.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312483
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '240.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.g1', '80.g1', '120.d1'], 'contains': ['480.b1'], 'core': '480.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [4], 'label': '960.10096.240.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '240.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312484
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '240.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.h1', '80.h1', '120.g1'], 'contains': ['480.b1'], 'core': '480.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [5], 'label': '960.10096.240.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '240.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312485
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '320.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': ['3.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '160.a1', '160.b1', '160.c1'], 'contains': ['960.a1'], 'core': '320.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [640], 'label': '960.10096.320.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '320.a1', 'normal_contained_in': ['64.a1', '160.a1', '160.b1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '320.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312486
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '480.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.a1', '160.a1', '240.a1', '240.b1', '240.c1', '240.d1', '240.e1'], 'contains': ['960.a1'], 'core': '480.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [480], 'label': '960.10096.480.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '480.a1', 'normal_contained_in': ['96.a1', '160.a1', '240.a1', '240.b1', '240.c1', '240.d1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312487
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '480.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['96.b1', '160.b1', '240.a1', '240.f1', '240.g1', '240.h1'], 'contains': ['960.a1'], 'core': '480.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8], 'label': '960.10096.480.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '480.b1', 'normal_contained_in': ['96.b1', '160.b1', '240.a1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312488
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '480.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.c1', '160.c1', '240.b1', '240.f1'], 'contains': ['960.a1'], 'core': '960.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2], 'label': '960.10096.480.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '480.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312489
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '960.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['192.a1', '320.a1', '480.a1', '480.b1', '480.c1'], 'contains': [], 'core': '960.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '960.10096.960.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '960.a1', 'normal_contained_in': ['192.a1', '320.a1', '480.a1', '480.b1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '960.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312490
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '2.f1'], 'contains': ['8.c1', '8.e1', '8.j1', '12.i1', '20.i1'], 'core': '4.i1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 640, 8, 192, 722, 480], 'label': '960.10096.4.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1', 'normal_contained_in': ['2.b1', '2.f1'], 'normal_contains': ['8.c1', '8.e1', '8.j1', '20.i1'], 'normalizer': '1.a1', 'old_label': '4.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312491
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '4.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.c1', '2.f1'], 'contains': ['8.c1', '8.f1', '12.j1', '20.j1'], 'core': '4.j1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 640, 192, 488, 242, 480], 'label': '960.10096.4.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.j1', 'normal_contained_in': ['2.c1', '2.f1'], 'normal_contains': ['8.c1', '8.f1', '20.j1'], 'normalizer': '1.a1', 'old_label': '4.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312492
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '4.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.d1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['2.d1', '2.e1', '2.f1'], 'contains': ['8.d1', '8.e1', '8.f1', '12.k1', '20.k1'], 'core': '4.k1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 640, 192, 488, 252, 480], 'label': '960.10096.4.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.k1', 'normal_contained_in': ['2.d1', '2.e1', '2.f1'], 'normal_contains': ['8.d1', '8.e1', '8.f1', '20.k1'], 'normalizer': '1.a1', 'old_label': '4.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.k1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312493
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.e1', '4.h1', '6.a1', '10.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 8, 240, 640, 4, 480, 192], 'label': '960.10096.2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.e1', '4.h1', '6.a1', '10.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312494
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '4.k2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.d1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['2.d1', '2.e1', '2.f1'], 'contains': ['8.d1', '8.e1', '8.f1', '12.k2', '20.k2'], 'core': '4.k2', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 640, 192, 8, 4, 480], 'label': '960.10096.4.k2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.k2', 'normal_contained_in': ['2.d1', '2.e1', '2.f1'], 'normal_contains': ['8.d1', '8.e1', '8.f1', '20.k2'], 'normalizer': '1.a1', 'old_label': '4.k2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.k2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312495
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '4.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1', 'complements': ['240.g1', '240.h1'], 'conjugacy_class_count': 8, 'contained_in': ['2.b1'], 'contains': ['8.g1', '8.h1', '8.i1', '8.j1', '12.l1', '20.l1'], 'core': '4.l1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 640, 240, 192, 2, 480], 'label': '960.10096.4.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.l1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.g1', '8.h1', '8.i1', '8.j1', '20.l1'], 'normalizer': '1.a1', 'old_label': '4.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.l1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312496
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': ['192.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['10.a1', '10.b1', '10.c1', '10.d1', '10.e1', '10.f1', '15.a1'], 'core': '5.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 480, 8, 2, 640, 4, 240], 'label': '960.10096.5.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['10.a1', '10.b1', '10.c1', '10.d1', '10.e1', '10.f1'], 'normalizer': '1.a1', 'old_label': '5.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312497
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '6.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.b1', '12.c1', '12.d1', '30.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 480, 720, 192, 4, 8], 'label': '960.10096.6.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['12.a1', '12.b1', '12.c1', '12.d1', '30.a1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312498
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.a1', '12.e1', '12.g1', '12.i1', '12.l1', '30.b1'], 'core': '12.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 480, 8, 720, 2, 192], 'label': '960.10096.6.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312499
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '3.a1'], 'contains': ['12.a1', '12.f1', '12.h1', '12.j1', '30.c1'], 'core': '12.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [5, 480, 720, 192, 2, 488], 'label': '960.10096.6.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312500
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.d1', '3.a1'], 'contains': ['12.b1', '12.e1', '12.f1', '12.k1', '12.k2', '30.d1'], 'core': '12.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [561, 480, 4, 192, 2, 8], 'label': '960.10096.6.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312503
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1', '4.d1'], 'contains': ['16.a1', '16.b1', '16.f1', '24.a1', '40.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 480, 640, 8, 192], 'label': '960.10096.8.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1', '4.d1'], 'normal_contains': ['16.a1', '16.b1', '24.a1', '40.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312504
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '4.f1', '4.i1', '4.l1', '6.b1', '10.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 480, 8, 240, 2, 640, 192], 'label': '960.10096.2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1', '4.f1', '4.i1', '4.l1', '10.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312505
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.e1', '4.f1', '4.g1'], 'contains': ['16.a1', '16.c1', '24.b1', '40.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 640, 192, 240, 480], 'label': '960.10096.8.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.e1', '4.f1', '4.g1'], 'normal_contains': ['16.a1', '16.c1', '24.b1', '40.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312506
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.h1', '4.i1', '4.j1'], 'contains': ['16.a1', '16.d1', '24.c1', '40.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [242, 640, 192, 8, 480], 'label': '960.10096.8.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': ['4.a1', '4.h1', '4.i1', '4.j1'], 'normal_contains': ['16.a1', '16.d1', '24.c1', '40.c1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312507
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.e1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.b1', '4.e1', '4.h1', '4.k1', '4.k2'], 'contains': ['16.a1', '16.g1', '24.d1', '40.d1'], 'core': '8.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4, 640, 192, 480, 8], 'label': '960.10096.8.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1', 'normal_contained_in': ['4.b1', '4.e1', '4.h1', '4.k1', '4.k2'], 'normal_contains': ['16.a1', '24.d1', '40.d1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312508
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.b1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '4.f1', '4.i1', '4.k1', '4.k2'], 'contains': ['16.a1', '16.e1', '24.f1', '40.e1'], 'core': '8.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 192, 480, 8, 640], 'label': '960.10096.8.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1', 'normal_contained_in': ['4.c1', '4.f1', '4.i1', '4.k1', '4.k2'], 'normal_contains': ['16.a1', '16.e1', '40.e1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312509
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.d1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.d1', '4.g1', '4.j1', '4.k1', '4.k2'], 'contains': ['16.a1', '16.h1', '24.g1', '40.f1'], 'core': '8.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [5, 192, 488, 480, 640], 'label': '960.10096.8.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1', 'normal_contained_in': ['4.d1', '4.g1', '4.j1', '4.k1', '4.k2'], 'normal_contains': ['16.a1', '40.f1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312510
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '4.l1'], 'contains': ['16.b1', '16.c1', '16.d1', '24.e1', '40.g1'], 'core': '8.g1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 640, 192, 240, 480], 'label': '960.10096.8.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1', 'normal_contained_in': ['4.a1', '4.l1'], 'normal_contains': ['16.b1', '16.c1', '16.d1', '24.e1', '40.g1'], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312511
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['4.c1', '4.l1'], 'contains': ['16.b1', '16.e1', '24.h1', '40.h1'], 'core': '8.h1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [561, 192, 480, 2, 640], 'label': '960.10096.8.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': ['4.c1', '4.l1'], 'normal_contains': ['16.b1', '16.e1', '40.h1'], 'normalizer': '1.a1', 'old_label': '8.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312512
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.b1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['4.f1', '4.l1'], 'contains': ['16.c1', '16.e1', '24.i1', '40.i1'], 'core': '8.i1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 192, 480, 240, 640], 'label': '960.10096.8.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': ['4.f1', '4.l1'], 'normal_contains': ['16.c1', '16.e1', '40.i1'], 'normalizer': '1.a1', 'old_label': '8.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312513
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['4.i1', '4.l1'], 'contains': ['16.d1', '16.e1', '24.j1', '40.j1'], 'core': '8.j1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 192, 480, 722, 640], 'label': '960.10096.8.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1', 'normal_contained_in': ['4.i1', '4.l1'], 'normal_contains': ['16.d1', '16.e1', '40.j1'], 'normalizer': '1.a1', 'old_label': '8.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312514
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '10.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '5.a1'], 'contains': ['20.a1', '20.b1', '20.e1', '20.h1', '30.a1'], 'core': '10.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 480, 8, 4, 240, 640], 'label': '960.10096.10.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.a1', 'normal_contained_in': ['2.a1', '5.a1'], 'normal_contains': ['20.a1', '20.b1', '20.e1', '20.h1', '30.a1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312515
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '2.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.d1', '4.g1', '4.j1', '6.c1', '10.c1'], 'core': '2.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [5, 480, 240, 192, 2, 640, 488], 'label': '960.10096.2.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.d1', '4.g1', '4.j1', '10.c1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312516
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '5.a1'], 'contains': ['20.a1', '20.c1', '20.f1', '20.i1', '20.l1', '30.b1'], 'core': '10.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 640, 480, 2, 8, 240], 'label': '960.10096.10.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.b1', 'normal_contained_in': ['2.b1', '5.a1'], 'normal_contains': ['20.a1', '20.c1', '20.f1', '20.i1', '20.l1'], 'normalizer': '1.a1', 'old_label': '10.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312517
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '5.a1'], 'contains': ['20.a1', '20.d1', '20.g1', '20.j1', '30.c1'], 'core': '10.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [5, 640, 480, 2, 240, 488], 'label': '960.10096.10.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.c1', 'normal_contained_in': ['2.c1', '5.a1'], 'normal_contains': ['20.a1', '20.d1', '20.g1', '20.j1'], 'normalizer': '1.a1', 'old_label': '10.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312518
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '10.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.d1', '5.a1'], 'contains': ['20.b1', '20.c1', '20.d1', '20.k1', '20.k2', '30.d1'], 'core': '10.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [561, 640, 480, 2, 4, 8], 'label': '960.10096.10.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.d1', 'normal_contained_in': ['2.d1', '5.a1'], 'normal_contains': ['20.b1', '20.c1', '20.d1', '20.k1', '20.k2'], 'normalizer': '1.a1', 'old_label': '10.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312519
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '10.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.d1', 'complements': ['96.c1'], 'conjugacy_class_count': 4, 'contained_in': ['2.e1', '5.a1'], 'contains': ['20.e1', '20.f1', '20.g1', '20.k1', '20.k2', '30.e1'], 'core': '10.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 640, 480, 4, 240, 8], 'label': '960.10096.10.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.e1', 'normal_contained_in': ['2.e1', '5.a1'], 'normal_contains': ['20.e1', '20.f1', '20.g1', '20.k1', '20.k2'], 'normalizer': '1.a1', 'old_label': '10.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312520
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '10.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': ['96.c1'], 'conjugacy_class_count': 4, 'contained_in': ['2.f1', '5.a1'], 'contains': ['20.h1', '20.i1', '20.j1', '20.k1', '20.k2', '30.f1'], 'core': '10.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [561, 640, 480, 242, 4, 8], 'label': '960.10096.10.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.f1', 'normal_contained_in': ['2.f1', '5.a1'], 'normal_contains': ['20.h1', '20.i1', '20.j1', '20.k1', '20.k2'], 'normalizer': '1.a1', 'old_label': '10.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312521
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '12.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '6.a1', '6.b1', '6.c1'], 'contains': ['24.a1', '24.b1', '24.c1', '24.e1', '60.a1'], 'core': '12.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 720, 192, 8, 480], 'label': '960.10096.12.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1'], 'normal_contains': ['24.a1', '24.b1', '24.c1', '24.e1', '60.a1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312522
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.f1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '6.a1', '6.d1'], 'contains': ['24.a1', '24.d1', '60.b1'], 'core': '12.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 192, 8, 4, 480], 'label': '960.10096.12.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': ['4.b1', '6.a1'], 'normal_contains': ['24.a1', '24.d1', '60.b1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312523
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.e1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '6.a1', '6.e1'], 'contains': ['24.b1', '24.d1', '60.c1'], 'core': '12.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4, 192, 8, 720, 480], 'label': '960.10096.12.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': ['4.e1', '6.a1'], 'normal_contains': ['24.b1', '24.d1', '60.c1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312524
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.g1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.h1', '6.a1', '6.f1'], 'contains': ['24.c1', '24.d1', '60.d1'], 'core': '12.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [722, 192, 8, 4, 480], 'label': '960.10096.12.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': ['4.h1', '6.a1'], 'normal_contains': ['24.c1', '24.d1', '60.d1'], 'normalizer': '1.a1', 'old_label': '12.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312525
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '6.b1', '6.d1'], 'contains': ['24.a1', '24.f1', '24.h1', '60.e1'], 'core': '24.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [561, 8, 192, 2, 480], 'label': '960.10096.12.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312526
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '4.d1', '4.k1', '4.k2', '6.d1', '10.d1'], 'core': '2.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [561, 480, 4, 192, 2, 640, 8], 'label': '960.10096.2.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '4.d1', '4.k1', '4.k2', '10.d1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312527
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '6.c1', '6.d1'], 'contains': ['24.a1', '24.g1', '60.f1'], 'core': '24.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [5, 192, 488, 2, 480], 'label': '960.10096.12.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312528
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.f1', '6.b1', '6.e1'], 'contains': ['24.b1', '24.f1', '24.i1', '60.g1'], 'core': '24.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [3, 720, 192, 8, 480], 'label': '960.10096.12.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312529
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.g1', '6.c1', '6.e1'], 'contains': ['24.b1', '24.g1', '60.h1'], 'core': '24.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [5, 192, 488, 720, 480], 'label': '960.10096.12.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312530
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.i1', '6.b1', '6.f1'], 'contains': ['24.c1', '24.f1', '24.j1', '60.i1'], 'core': '24.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [241, 8, 192, 722, 480], 'label': '960.10096.12.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312531
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.j1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.j1', '6.c1', '6.f1'], 'contains': ['24.c1', '24.g1', '60.j1'], 'core': '24.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [5, 192, 488, 722, 480], 'label': '960.10096.12.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312532
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.k1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.k1', '6.d1', '6.e1', '6.f1'], 'contains': ['24.d1', '24.f1', '24.g1', '60.k1'], 'core': '24.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [3, 192, 488, 724, 480], 'label': '960.10096.12.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312533
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '12.k2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.k2', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.k2', '6.d1', '6.e1', '6.f1'], 'contains': ['24.d1', '24.f1', '24.g1', '60.k2'], 'core': '24.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [3, 192, 8, 4, 480], 'label': '960.10096.12.k2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.k2', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.k2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312534
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.l1', '6.b1'], 'contains': ['24.e1', '24.h1', '24.i1', '24.j1', '60.l1'], 'core': '24.e1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1, 720, 192, 2, 480], 'label': '960.10096.12.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312535
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '15.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '5.a1'], 'contains': ['30.a1', '30.b1', '30.c1', '30.d1', '30.e1', '30.f1'], 'core': '30.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 2, 4, 720], 'label': '960.10096.15.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '15.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312536
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1', '8.f1'], 'contains': ['32.a1', '32.b1', '48.a1', '80.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 640, 192, 480], 'label': '960.10096.16.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1', '8.f1'], 'normal_contains': ['32.a1', '32.b1', '48.a1', '80.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312537
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '2.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.d1', 'complements': ['480.c1'], 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['4.e1', '4.f1', '4.g1', '4.k1', '4.k2', '6.e1', '10.e1'], 'core': '2.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 480, 240, 192, 4, 640, 8], 'label': '960.10096.2.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.e1', '4.f1', '4.g1', '4.k1', '4.k2', '10.e1'], 'normalizer': '1.a1', 'old_label': '2.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312538
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.g1', '8.h1'], 'contains': ['32.a1', '32.c1', '48.b1', '80.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 640, 192, 480], 'label': '960.10096.16.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.g1', '8.h1'], 'normal_contains': ['32.a1', '48.b1', '80.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312539
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '8.g1', '8.i1'], 'contains': ['32.a1', '48.c1', '80.c1'], 'core': '16.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [240, 192, 480, 640], 'label': '960.10096.16.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1', 'normal_contained_in': ['8.b1', '8.g1', '8.i1'], 'normal_contains': ['32.a1', '48.c1', '80.c1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312540
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '8.g1', '8.j1'], 'contains': ['32.a1', '48.d1', '80.d1'], 'core': '16.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [242, 192, 480, 640], 'label': '960.10096.16.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1', 'normal_contained_in': ['8.c1', '8.g1', '8.j1'], 'normal_contains': ['32.a1', '48.d1', '80.d1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312541
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.b1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['8.e1', '8.h1', '8.i1', '8.j1'], 'contains': ['32.a1', '48.e1', '80.e1'], 'core': '16.e1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 480, 640, 192], 'label': '960.10096.16.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1', 'normal_contained_in': ['8.e1', '8.h1', '8.i1', '8.j1'], 'normal_contains': ['32.a1', '80.e1'], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312542
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.a1'], 'contains': ['32.b1', '32.c1', '48.f1', '80.f1'], 'core': '32.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 640, 192, 8], 'label': '960.10096.16.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312543
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.d1'], 'contains': ['32.b1', '48.g1', '80.g1'], 'core': '32.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [4, 192, 8, 640], 'label': '960.10096.16.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '16.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312545
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '20.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '10.a1', '10.b1', '10.c1'], 'contains': ['40.a1', '40.b1', '40.c1', '40.g1', '60.a1'], 'core': '20.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 480, 8, 240, 640], 'label': '960.10096.20.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.a1', 'normal_contained_in': ['4.a1', '10.a1', '10.b1', '10.c1'], 'normal_contains': ['40.a1', '40.b1', '40.c1', '40.g1', '60.a1'], 'normalizer': '1.a1', 'old_label': '20.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312546
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '20.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '10.a1', '10.d1'], 'contains': ['40.a1', '40.d1', '60.b1'], 'core': '20.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 480, 4, 640, 8], 'label': '960.10096.20.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.b1', 'normal_contained_in': ['4.b1', '10.a1', '10.d1'], 'normal_contains': ['40.a1', '40.d1', '60.b1'], 'normalizer': '1.a1', 'old_label': '20.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312547
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '10.b1', '10.d1'], 'contains': ['40.a1', '40.e1', '40.h1', '60.e1'], 'core': '20.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [561, 640, 2, 8, 480], 'label': '960.10096.20.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.c1', 'normal_contained_in': ['4.c1', '10.b1', '10.d1'], 'normal_contains': ['40.a1', '40.e1', '40.h1'], 'normalizer': '1.a1', 'old_label': '20.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312548
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '2.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': ['480.c1'], 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['4.h1', '4.i1', '4.j1', '4.k1', '4.k2', '6.f1', '10.f1'], 'core': '2.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 480, 4, 192, 722, 640, 8], 'label': '960.10096.2.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.f1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.h1', '4.i1', '4.j1', '4.k1', '4.k2', '10.f1'], 'normalizer': '1.a1', 'old_label': '2.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312549
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '10.c1', '10.d1'], 'contains': ['40.a1', '40.f1', '60.f1'], 'core': '20.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 640, 2, 488, 480], 'label': '960.10096.20.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.d1', 'normal_contained_in': ['4.d1', '10.c1', '10.d1'], 'normal_contains': ['40.a1', '40.f1'], 'normalizer': '1.a1', 'old_label': '20.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312550
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '20.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.e1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '10.a1', '10.e1'], 'contains': ['40.b1', '40.d1', '60.c1'], 'core': '20.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [4, 480, 240, 640, 8], 'label': '960.10096.20.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.e1', 'normal_contained_in': ['4.e1', '10.a1', '10.e1'], 'normal_contains': ['40.b1', '40.d1', '60.c1'], 'normalizer': '1.a1', 'old_label': '20.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312551
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.f1', '10.b1', '10.e1'], 'contains': ['40.b1', '40.e1', '40.i1', '60.g1'], 'core': '20.f1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 640, 8, 240, 480], 'label': '960.10096.20.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1', 'normal_contained_in': ['4.f1', '10.b1', '10.e1'], 'normal_contains': ['40.b1', '40.e1', '40.i1'], 'normalizer': '1.a1', 'old_label': '20.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312552
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '20.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.d1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.g1', '10.c1', '10.e1'], 'contains': ['40.b1', '40.f1', '60.h1'], 'core': '20.g1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 640, 240, 488, 480], 'label': '960.10096.20.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.g1', 'normal_contained_in': ['4.g1', '10.c1', '10.e1'], 'normal_contains': ['40.b1', '40.f1'], 'normalizer': '1.a1', 'old_label': '20.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312553
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '20.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.h1', '10.a1', '10.f1'], 'contains': ['40.c1', '40.d1', '60.d1'], 'core': '20.h1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [242, 480, 4, 640, 8], 'label': '960.10096.20.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.h1', 'normal_contained_in': ['4.h1', '10.a1', '10.f1'], 'normal_contains': ['40.c1', '40.d1', '60.d1'], 'normalizer': '1.a1', 'old_label': '20.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312554
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '20.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.i1', '10.b1', '10.f1'], 'contains': ['40.c1', '40.e1', '40.j1', '60.i1'], 'core': '20.i1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [561, 640, 242, 8, 480], 'label': '960.10096.20.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.i1', 'normal_contained_in': ['4.i1', '10.b1', '10.f1'], 'normal_contains': ['40.c1', '40.e1', '40.j1'], 'normalizer': '1.a1', 'old_label': '20.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312555
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '20.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.j1', '10.c1', '10.f1'], 'contains': ['40.c1', '40.f1', '60.j1'], 'core': '20.j1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 640, 242, 488, 480], 'label': '960.10096.20.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.j1', 'normal_contained_in': ['4.j1', '10.c1', '10.f1'], 'normal_contains': ['40.c1', '40.f1'], 'normalizer': '1.a1', 'old_label': '20.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312556
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '20.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.d1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['4.k1', '10.d1', '10.e1', '10.f1'], 'contains': ['40.d1', '40.e1', '40.f1', '60.k1'], 'core': '20.k1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 640, 252, 488, 480], 'label': '960.10096.20.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.k1', 'normal_contained_in': ['4.k1', '10.d1', '10.e1', '10.f1'], 'normal_contains': ['40.d1', '40.e1', '40.f1'], 'normalizer': '1.a1', 'old_label': '20.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.k1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312557
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '20.k2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.d1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['4.k2', '10.d1', '10.e1', '10.f1'], 'contains': ['40.d1', '40.e1', '40.f1', '60.k2'], 'core': '20.k2', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 640, 4, 8, 480], 'label': '960.10096.20.k2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.k2', 'normal_contained_in': ['4.k2', '10.d1', '10.e1', '10.f1'], 'normal_contains': ['40.d1', '40.e1', '40.f1'], 'normalizer': '1.a1', 'old_label': '20.k2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.k2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312558
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '20.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1', 'complements': ['48.g1', '48.h1'], 'conjugacy_class_count': 8, 'contained_in': ['4.l1', '10.b1'], 'contains': ['40.g1', '40.h1', '40.i1', '40.j1', '60.l1'], 'core': '20.l1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 640, 2, 240, 480], 'label': '960.10096.20.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.l1', 'normal_contained_in': ['4.l1', '10.b1'], 'normal_contains': ['40.g1', '40.h1', '40.i1', '40.j1'], 'normalizer': '1.a1', 'old_label': '20.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.l1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312559
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '6.c1', '6.d1', '6.e1', '6.f1', '15.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 8, 4, 720, 2, 480, 192], 'label': '960.10096.3.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '3.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312560
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '24.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '12.a1', '12.b1', '12.e1', '12.f1'], 'contains': ['48.a1', '48.b1', '48.f1', '120.a1'], 'core': '24.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 480, 192, 8], 'label': '960.10096.24.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.a1', '12.b1'], 'normal_contains': ['48.a1', '48.b1', '120.a1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312561
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '12.a1', '12.c1', '12.g1', '12.h1'], 'contains': ['48.a1', '48.c1', '120.b1'], 'core': '24.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 192, 480, 720], 'label': '960.10096.24.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': ['8.b1', '12.a1', '12.c1'], 'normal_contains': ['48.a1', '48.c1', '120.b1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312562
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '12.a1', '12.d1', '12.i1', '12.j1'], 'contains': ['48.a1', '48.d1', '120.c1'], 'core': '24.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [722, 192, 480, 8], 'label': '960.10096.24.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': ['8.c1', '12.a1', '12.d1'], 'normal_contains': ['48.a1', '48.d1', '120.c1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312563
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.e1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.d1', '12.b1', '12.c1', '12.d1', '12.k1', '12.k2'], 'contains': ['48.a1', '48.g1', '120.d1'], 'core': '24.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [4, 192, 8, 480], 'label': '960.10096.24.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': ['8.d1', '12.b1', '12.c1', '12.d1'], 'normal_contains': ['48.a1', '120.d1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312564
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.g1', '12.a1', '12.l1'], 'contains': ['48.b1', '48.c1', '48.d1', '120.e1'], 'core': '24.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 192, 480, 720], 'label': '960.10096.24.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1', 'normal_contained_in': ['8.g1', '12.a1'], 'normal_contains': ['48.b1', '48.c1', '48.d1', '120.e1'], 'normalizer': '1.a1', 'old_label': '24.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312565
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.e1', '12.e1', '12.g1', '12.i1', '12.k1', '12.k2'], 'contains': ['48.a1', '48.e1', '120.f1'], 'core': '48.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 192, 480, 8], 'label': '960.10096.24.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312566
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.f1', '12.f1', '12.h1', '12.j1', '12.k1', '12.k2'], 'contains': ['48.a1', '48.h1', '120.g1'], 'core': '48.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [5, 192, 488, 480], 'label': '960.10096.24.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312567
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.e1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.h1', '12.e1', '12.l1'], 'contains': ['48.b1', '48.e1', '120.h1'], 'core': '48.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [561, 192, 480, 2], 'label': '960.10096.24.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312568
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.i1', '12.g1', '12.l1'], 'contains': ['48.c1', '48.e1', '120.i1'], 'core': '48.c1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [3, 192, 480, 720], 'label': '960.10096.24.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312569
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.f1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.j1', '12.i1', '12.l1'], 'contains': ['48.d1', '48.e1', '120.j1'], 'core': '48.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [241, 192, 480, 722], 'label': '960.10096.24.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312570
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1', '2.c1'], 'contains': ['8.a1', '8.b1', '8.c1', '8.g1', '12.a1', '20.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 480, 240, 640, 8, 192], 'label': '960.10096.4.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1', '2.c1'], 'normal_contains': ['8.a1', '8.b1', '8.c1', '8.g1', '12.a1', '20.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 112312571
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '30.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '10.a1', '15.a1'], 'contains': ['60.a1', '60.b1', '60.c1', '60.d1'], 'core': '30.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 4, 720], 'label': '960.10096.30.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '30.a1', 'normal_contained_in': ['6.a1', '10.a1'], 'normal_contains': ['60.a1', '60.b1', '60.c1', '60.d1'], 'normalizer': '1.a1', 'old_label': '30.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 112312572
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1', '10.b1', '15.a1'], 'contains': ['60.a1', '60.e1', '60.g1', '60.i1', '60.l1'], 'core': '60.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 2, 8, 720], 'label': '960.10096.30.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '30.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 112312573
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1', '10.c1', '15.a1'], 'contains': ['60.a1', '60.f1', '60.h1', '60.j1'], 'core': '60.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [5, 2, 720], 'label': '960.10096.30.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '30.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.c1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 112312574
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '30.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.d1', '10.d1', '15.a1'], 'contains': ['60.b1', '60.e1', '60.f1', '60.k1', '60.k2'], 'core': '60.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [561, 2, 4], 'label': '960.10096.30.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '30.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.d1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 112312575
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '30.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.e1', '10.e1', '15.a1'], 'contains': ['60.c1', '60.g1', '60.h1', '60.k1', '60.k2'], 'core': '60.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [3, 4, 720], 'label': '960.10096.30.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '30.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.e1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 112312576
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '30.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.g1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.f1', '10.f1', '15.a1'], 'contains': ['60.d1', '60.i1', '60.j1', '60.k1', '60.k2'], 'core': '60.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [241, 722, 4], 'label': '960.10096.30.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '30.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.f1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 112312577
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1', '16.c1', '16.d1', '16.e1'], 'contains': ['64.a1', '96.a1', '160.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [480, 192, 640], 'label': '960.10096.32.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1', '16.c1', '16.d1', '16.e1'], 'normal_contains': ['64.a1', '96.a1', '160.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 112312578
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '16.f1', '16.g1', '16.h1'], 'contains': ['64.a1', '96.b1', '160.b1'], 'core': '32.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 192, 640], 'label': '960.10096.32.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.b1', 'normal_contained_in': ['16.a1'], 'normal_contains': ['64.a1', '96.b1', '160.b1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 112312579
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '16.f1'], 'contains': ['64.a1', '96.c1', '160.c1'], 'core': '64.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 192, 640], 'label': '960.10096.32.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '32.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 112312580
{'ambient': '960.10096', 'aut_centralizer_order': None, 'aut_label': '40.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '20.a1', '20.b1', '20.c1', '20.d1'], 'contains': ['80.a1', '80.b1', '80.f1', '120.a1'], 'core': '40.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 8, 480, 640], 'label': '960.10096.40.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.a1', 'normal_contained_in': ['8.a1', '20.a1', '20.b1', '20.c1', '20.d1'], 'normal_contains': ['80.a1', '80.b1', '120.a1'], 'normalizer': '1.a1', 'old_label': '40.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.a1', 'subgroup_fusion': None, 'weyl_group': None}