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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.10', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 12, 'aut_gen_orders': [4, 2, 2, 12, 2, 2, 4, 12, 4], 'aut_gens': [[1, 4, 8, 32, 128], [407, 20, 392, 500, 144], [143, 84, 408, 240, 640], [83, 388, 88, 416, 640], [205, 68, 392, 564, 144], [209, 20, 88, 176, 640], [81, 20, 72, 496, 128], [85, 388, 472, 52, 656], [533, 388, 408, 564, 144], [459, 452, 88, 36, 656]], 'aut_group': None, 'aut_hash': 2194389629022892761, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 24576, 'aut_permdeg': 112, 'aut_perms': [6297349625138305749064321763609333047936063757586156202324073079326167305233514088528470783436557414248340478668818011043524625066349005887056785565216770213632849606476378282111617, 15477103798614171299642284623931294127149881063789807030179434445705061319728199007537437063712082460094210044923645610475250185772312943735907478910776381833559926797831933547020372, 138929584290816069610901339307551556302042000593032327129135187067267480219457202792813970854217804339825166158647539465019405931480219604018774088665204060499130454039536476487839814, 170840274763998461595430561049655134740770851563699572426415747871008809071913161939382795774191314279940664550916172890870519374940529974418740489901032724158245124139555126613096937, 87947316178431297086794998710195912457765361176781011653444506335240132704932545789284556224556933733686291986868041272459413506253970225267943402191258919526604854845682381209773175, 90399424799967029650800697871341592510572888334022590072788977129462826027910661240958012433599994037194016151788657334534870486187261607260728581525721476604670994333142797026463154, 177295195840445626581622776894764975325700940289518188724142975062842780325821191034103993795422365832233101009615602407197269600781176238462758794081974972861240238646242469247160894, 18883615984931150782336412974587088129024349261970549472373016104843352104862364467784875147206142049282814928867624927982950653206552806150396355275993829237672630466226318671568439, 134296079448967589780408932172365805950429517004388973506555720528787467052375505288289114077796007896627961092298728937266285237598312131270228653163441928688897622153911547965416647], 'aut_phi_ratio': 96.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [2, 2, 2, 1], [2, 4, 1, 3], [2, 4, 2, 2], [2, 8, 1, 1], [2, 24, 2, 1], [3, 2, 1, 1], [4, 4, 2, 1], [4, 8, 1, 1], [4, 8, 8, 1], [4, 24, 2, 1], [4, 48, 1, 2], [6, 2, 1, 3], [6, 2, 4, 1], [6, 4, 1, 2], [6, 4, 2, 3], [6, 4, 4, 1], [6, 8, 2, 2], [8, 48, 4, 1], [12, 8, 2, 2], [12, 8, 16, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_3:(C_2^8.C_2^5)', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '64.267', 'autcent_hash': 267, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^6', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': '384.18491', 'autcentquo_hash': 18491, 'autcentquo_nilpotent': False, 'autcentquo_order': 384, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2^5:D_6', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 4], [2, 4, 7], [2, 8, 1], [2, 24, 2], [3, 2, 1], [4, 4, 2], [4, 8, 9], [4, 24, 2], [4, 48, 2], [6, 2, 7], [6, 4, 12], [6, 8, 4], [8, 48, 4], [12, 8, 20]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '192.513', 'commutator_count': 1, 'commutator_label': '48.52', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 87077, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 4], [2, 4, 1, 7], [2, 8, 1, 1], [2, 24, 1, 2], [3, 2, 1, 1], [4, 4, 1, 2], [4, 8, 1, 1], [4, 8, 2, 4], [4, 24, 1, 2], [4, 48, 1, 2], [6, 2, 1, 3], [6, 2, 2, 2], [6, 4, 1, 2], [6, 4, 2, 5], [6, 8, 1, 2], [6, 8, 2, 1], [8, 48, 2, 2], [12, 8, 1, 2], [12, 8, 2, 1], [12, 8, 4, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 5376, 'exponent': 24, 'exponents_of_order': [8, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '32.46', 'frattini_quotient': '24.14', 'hash': 87077, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [4, 2, 2, 2, 6], 'inner_gens': [[1, 404, 72, 484, 656], [401, 4, 24, 32, 128], [65, 20, 8, 480, 128], [453, 4, 456, 32, 640], [273, 4, 8, 288, 128]], 'inner_hash': 513, 'inner_nilpotent': False, 'inner_order': 192, 'inner_split': None, 'inner_tex': 'C_2^3.D_{12}', 'inner_used': [1, 2, 3, 4, 5], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 44], [4, 16], [8, 5]], 'label': '768.87077', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': '(C2^3*C12).D4', 'ngens': 9, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 37, 'number_characteristic_subgroups': 69, 'number_conjugacy_classes': 81, 'number_divisions': 54, 'number_normal_subgroups': 111, 'number_subgroup_autclasses': 658, 'number_subgroup_classes': 1118, 'number_subgroups': 6180, 'old_label': None, 'order': 768, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 95], [3, 2], [4, 224], [6, 94], [8, 192], [12, 160]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2, 2, 4], 'outer_gen_pows': [70, 384, 452, 2, 0, 256], 'outer_gens': [[5, 404, 408, 500, 656], [467, 404, 72, 112, 640], [599, 20, 456, 180, 656], [81, 404, 24, 420, 144], [83, 388, 88, 416, 640], [157, 84, 456, 244, 144]], 'outer_group': '128.2320', 'outer_hash': 2320, 'outer_nilpotent': True, 'outer_order': 128, 'outer_permdeg': 64, 'outer_perms': [52702425846698886940321581434951218761010675276314658729011082179790112848822140946135200, 12721693891497978669412471695142931445773478890355664669164233140423870393534686800521128, 102483329167724258507634763783200364280051197544841975352021509816271427642167387909919486, 102388827578402358087753325881466087759411334091780430445327486080980710651575044237355478, 4185591064254038755246484871295595877966671539262515487948425357000534363013673798559560, 50687755791566670366009375847040936752325876924377872213215278879755717689582439761493643], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4\\times C_2^4', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 15, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 16], [4, 20], [8, 9], [16, 1]], 'representations': {'PC': {'code': '172244333227204370699791055482945763366810119378338522682881', 'gens': [1, 3, 4, 6, 8], 'pres': [9, 2, 2, 2, 2, 2, 2, 2, 2, 3, 18, 154, 10910, 281, 2595, 237, 102, 26141, 11246, 3272, 158, 47239, 1492, 214, 41480, 1349]}, 'Perm': {'d': 15, 'gens': [106948356505, 175964181864, 1680, 295076597760, 744, 388481909760, 442680940800, 448908001920, 3]}}, 'schur_multiplier': [2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '(C_2^3\\times C_{12}).D_4', 'transitive_degree': 96, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 105814408
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 87077, 'group_order': 768, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
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id: 105814419
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 87077, 'group_order': 768, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 64, 'size': 1}
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id: 105814430
{'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 87077, 'group_order': 768, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 80, 'size': 1}
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id: 105814441
{'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 87077, 'group_order': 768, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 16, 'size': 1}
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id: 105814452
{'aut_label': '2D', 'centralizer': '2.b1.a1', 'counter': 5, 'group_counter': 87077, 'group_order': 768, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 10, 'size': 2}
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id: 105814463
{'aut_label': '2D', 'centralizer': '2.b1.a1', 'counter': 6, 'group_counter': 87077, 'group_order': 768, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 26, 'size': 2}
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id: 105814474
{'aut_label': '2F', 'centralizer': '2.a1.a1', 'counter': 7, 'group_counter': 87077, 'group_order': 768, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 384, 'size': 2}
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id: 105814485
{'aut_label': '2G', 'centralizer': '2.a1.a1', 'counter': 8, 'group_counter': 87077, 'group_order': 768, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 448, 'size': 2}
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id: 105814488
{'aut_label': '2H', 'centralizer': '4.k1.a1', 'counter': 9, 'group_counter': 87077, 'group_order': 768, 'label': '2H', 'order': 2, 'powers': [1, 9], 'representative': 12, 'size': 4}
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id: 105814409
{'aut_label': '2H', 'centralizer': '4.k1.a1', 'counter': 10, 'group_counter': 87077, 'group_order': 768, 'label': '2I', 'order': 2, 'powers': [1, 10], 'representative': 396, 'size': 4}
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id: 105814410
{'aut_label': '2J', 'centralizer': '4.a1.a1', 'counter': 11, 'group_counter': 87077, 'group_order': 768, 'label': '2J', 'order': 2, 'powers': [1, 11], 'representative': 394, 'size': 4}
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id: 105814411
{'aut_label': '2K', 'centralizer': '4.k1.a1', 'counter': 12, 'group_counter': 87077, 'group_order': 768, 'label': '2K', 'order': 2, 'powers': [1, 12], 'representative': 70, 'size': 4}
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id: 105814412
{'aut_label': '2L', 'centralizer': '4.b1.a1', 'counter': 13, 'group_counter': 87077, 'group_order': 768, 'label': '2L', 'order': 2, 'powers': [1, 13], 'representative': 4, 'size': 4}
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id: 105814413
{'aut_label': '2L', 'centralizer': '4.b1.a1', 'counter': 14, 'group_counter': 87077, 'group_order': 768, 'label': '2M', 'order': 2, 'powers': [1, 14], 'representative': 68, 'size': 4}
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id: 105814414
{'aut_label': '2N', 'centralizer': '4.k1.a1', 'counter': 15, 'group_counter': 87077, 'group_order': 768, 'label': '2N', 'order': 2, 'powers': [1, 15], 'representative': 390, 'size': 4}
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id: 105814415
{'aut_label': '2O', 'centralizer': '8.b1.a1', 'counter': 16, 'group_counter': 87077, 'group_order': 768, 'label': '2O', 'order': 2, 'powers': [1, 16], 'representative': 14, 'size': 8}
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id: 105814416
{'aut_label': '2P', 'centralizer': '24.t1.a1', 'counter': 17, 'group_counter': 87077, 'group_order': 768, 'label': '2P', 'order': 2, 'powers': [1, 17], 'representative': 42, 'size': 24}
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id: 105814417
{'aut_label': '2P', 'centralizer': '24.t1.a1', 'counter': 18, 'group_counter': 87077, 'group_order': 768, 'label': '2Q', 'order': 2, 'powers': [1, 18], 'representative': 58, 'size': 24}
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id: 105814418
{'aut_label': '3A', 'centralizer': '2.b1.a1', 'counter': 19, 'group_counter': 87077, 'group_order': 768, 'label': '3A', 'order': 3, 'powers': [19, 1], 'representative': 512, 'size': 2}
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id: 105814420
{'aut_label': '4A', 'centralizer': '4.m1.a1', 'counter': 20, 'group_counter': 87077, 'group_order': 768, 'label': '4A', 'order': 4, 'powers': [4, 20], 'representative': 18, 'size': 4}
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id: 105814421
{'aut_label': '4A', 'centralizer': '4.m1.a1', 'counter': 21, 'group_counter': 87077, 'group_order': 768, 'label': '4B', 'order': 4, 'powers': [4, 21], 'representative': 82, 'size': 4}
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id: 105814422
{'aut_label': '4C', 'centralizer': '8.c1.a1', 'counter': 22, 'group_counter': 87077, 'group_order': 768, 'label': '4C', 'order': 4, 'powers': [4, 22], 'representative': 24, 'size': 8}
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id: 105814423
{'aut_label': '4D1', 'centralizer': '8.p1.a1', 'counter': 23, 'group_counter': 87077, 'group_order': 768, 'label': '4D1', 'order': 4, 'powers': [15, 24], 'representative': 39, 'size': 8}
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id: 105814424
{'aut_label': '4D1', 'centralizer': '8.p1.a1', 'counter': 24, 'group_counter': 87077, 'group_order': 768, 'label': '4D-1', 'order': 4, 'powers': [15, 23], 'representative': 33, 'size': 8}
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id: 105814425
{'aut_label': '4D1', 'centralizer': '8.p1.a1', 'counter': 25, 'group_counter': 87077, 'group_order': 768, 'label': '4E1', 'order': 4, 'powers': [15, 26], 'representative': 103, 'size': 8}
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id: 105814426
{'aut_label': '4D1', 'centralizer': '8.p1.a1', 'counter': 26, 'group_counter': 87077, 'group_order': 768, 'label': '4E-1', 'order': 4, 'powers': [15, 25], 'representative': 97, 'size': 8}
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id: 105814427
{'aut_label': '4D1', 'centralizer': '8.p1.a1', 'counter': 27, 'group_counter': 87077, 'group_order': 768, 'label': '4F1', 'order': 4, 'powers': [15, 28], 'representative': 447, 'size': 8}
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id: 105814428
{'aut_label': '4D1', 'centralizer': '8.p1.a1', 'counter': 28, 'group_counter': 87077, 'group_order': 768, 'label': '4F-1', 'order': 4, 'powers': [15, 27], 'representative': 41, 'size': 8}
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id: 105814429
{'aut_label': '4D1', 'centralizer': '8.p1.a1', 'counter': 29, 'group_counter': 87077, 'group_order': 768, 'label': '4G1', 'order': 4, 'powers': [15, 30], 'representative': 511, 'size': 8}
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id: 105814431
{'aut_label': '4D1', 'centralizer': '8.p1.a1', 'counter': 30, 'group_counter': 87077, 'group_order': 768, 'label': '4G-1', 'order': 4, 'powers': [15, 29], 'representative': 105, 'size': 8}
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id: 105814432
{'aut_label': '4H', 'centralizer': '24.u1.a1', 'counter': 31, 'group_counter': 87077, 'group_order': 768, 'label': '4H', 'order': 4, 'powers': [2, 31], 'representative': 32, 'size': 24}
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id: 105814433
{'aut_label': '4H', 'centralizer': '24.u1.a1', 'counter': 32, 'group_counter': 87077, 'group_order': 768, 'label': '4I', 'order': 4, 'powers': [2, 32], 'representative': 48, 'size': 24}
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id: 105814434
{'aut_label': '4J', 'centralizer': '48.p1.a1', 'counter': 33, 'group_counter': 87077, 'group_order': 768, 'label': '4J', 'order': 4, 'powers': [8, 33], 'representative': 166, 'size': 48}
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id: 105814435
{'aut_label': '4K', 'centralizer': '48.q1.a1', 'counter': 34, 'group_counter': 87077, 'group_order': 768, 'label': '4K', 'order': 4, 'powers': [7, 34], 'representative': 104, 'size': 48}
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id: 105814436
{'aut_label': '6A', 'centralizer': '2.b1.a1', 'counter': 35, 'group_counter': 87077, 'group_order': 768, 'label': '6A', 'order': 6, 'powers': [19, 2], 'representative': 320, 'size': 2}
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id: 105814437
{'aut_label': '6B', 'centralizer': '2.b1.a1', 'counter': 36, 'group_counter': 87077, 'group_order': 768, 'label': '6B', 'order': 6, 'powers': [19, 3], 'representative': 336, 'size': 2}
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id: 105814438
{'aut_label': '6C', 'centralizer': '2.b1.a1', 'counter': 37, 'group_counter': 87077, 'group_order': 768, 'label': '6C', 'order': 6, 'powers': [19, 4], 'representative': 528, 'size': 2}
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id: 105814439
{'aut_label': '6D1', 'centralizer': '2.b1.a1', 'counter': 38, 'group_counter': 87077, 'group_order': 768, 'label': '6D1', 'order': 6, 'powers': [19, 5], 'representative': 266, 'size': 2}
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id: 105814440
{'aut_label': '6D1', 'centralizer': '2.b1.a1', 'counter': 39, 'group_counter': 87077, 'group_order': 768, 'label': '6D-1', 'order': 6, 'powers': [19, 5], 'representative': 522, 'size': 2}
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id: 105814442
{'aut_label': '6D1', 'centralizer': '2.b1.a1', 'counter': 40, 'group_counter': 87077, 'group_order': 768, 'label': '6E1', 'order': 6, 'powers': [19, 6], 'representative': 282, 'size': 2}
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id: 105814443
{'aut_label': '6D1', 'centralizer': '2.b1.a1', 'counter': 41, 'group_counter': 87077, 'group_order': 768, 'label': '6E-1', 'order': 6, 'powers': [19, 6], 'representative': 538, 'size': 2}
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id: 105814444
{'aut_label': '6F', 'centralizer': '4.a1.a1', 'counter': 42, 'group_counter': 87077, 'group_order': 768, 'label': '6F', 'order': 6, 'powers': [19, 7], 'representative': 128, 'size': 4}
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id: 105814445
{'aut_label': '6G', 'centralizer': '4.a1.a1', 'counter': 43, 'group_counter': 87077, 'group_order': 768, 'label': '6G', 'order': 6, 'powers': [19, 8], 'representative': 192, 'size': 4}
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id: 105814446
{'aut_label': '6H1', 'centralizer': '4.k1.a1', 'counter': 44, 'group_counter': 87077, 'group_order': 768, 'label': '6H1', 'order': 6, 'powers': [19, 9], 'representative': 268, 'size': 4}
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id: 105814447
{'aut_label': '6H1', 'centralizer': '4.k1.a1', 'counter': 45, 'group_counter': 87077, 'group_order': 768, 'label': '6H-1', 'order': 6, 'powers': [19, 9], 'representative': 524, 'size': 4}
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id: 105814448
{'aut_label': '6H1', 'centralizer': '4.k1.a1', 'counter': 46, 'group_counter': 87077, 'group_order': 768, 'label': '6I1', 'order': 6, 'powers': [19, 10], 'representative': 140, 'size': 4}
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id: 105814449
{'aut_label': '6H1', 'centralizer': '4.k1.a1', 'counter': 47, 'group_counter': 87077, 'group_order': 768, 'label': '6I-1', 'order': 6, 'powers': [19, 10], 'representative': 652, 'size': 4}
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id: 105814450
{'aut_label': '6J1', 'centralizer': '4.a1.a1', 'counter': 48, 'group_counter': 87077, 'group_order': 768, 'label': '6J1', 'order': 6, 'powers': [19, 11], 'representative': 138, 'size': 4}
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id: 105814451
{'aut_label': '6J1', 'centralizer': '4.a1.a1', 'counter': 49, 'group_counter': 87077, 'group_order': 768, 'label': '6J-1', 'order': 6, 'powers': [19, 11], 'representative': 202, 'size': 4}
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id: 105814453
{'aut_label': '6K1', 'centralizer': '4.k1.a1', 'counter': 50, 'group_counter': 87077, 'group_order': 768, 'label': '6K1', 'order': 6, 'powers': [19, 12], 'representative': 326, 'size': 4}
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id: 105814454
{'aut_label': '6K1', 'centralizer': '4.k1.a1', 'counter': 51, 'group_counter': 87077, 'group_order': 768, 'label': '6K-1', 'order': 6, 'powers': [19, 12], 'representative': 582, 'size': 4}
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id: 105814455
{'aut_label': '6L1', 'centralizer': '4.k1.a1', 'counter': 52, 'group_counter': 87077, 'group_order': 768, 'label': '6L1', 'order': 6, 'powers': [19, 15], 'representative': 134, 'size': 4}
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id: 105814456
{'aut_label': '6L1', 'centralizer': '4.k1.a1', 'counter': 53, 'group_counter': 87077, 'group_order': 768, 'label': '6L-1', 'order': 6, 'powers': [19, 15], 'representative': 646, 'size': 4}
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id: 105814457
{'aut_label': '6M', 'centralizer': '8.b1.a1', 'counter': 54, 'group_counter': 87077, 'group_order': 768, 'label': '6M', 'order': 6, 'powers': [19, 13], 'representative': 260, 'size': 8}
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id: 105814458
{'aut_label': '6M', 'centralizer': '8.b1.a1', 'counter': 55, 'group_counter': 87077, 'group_order': 768, 'label': '6N', 'order': 6, 'powers': [19, 14], 'representative': 324, 'size': 8}
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id: 105814459
{'aut_label': '6O1', 'centralizer': '8.b1.a1', 'counter': 56, 'group_counter': 87077, 'group_order': 768, 'label': '6O1', 'order': 6, 'powers': [19, 16], 'representative': 270, 'size': 8}
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id: 105814460
{'aut_label': '6O1', 'centralizer': '8.b1.a1', 'counter': 57, 'group_counter': 87077, 'group_order': 768, 'label': '6O-1', 'order': 6, 'powers': [19, 16], 'representative': 142, 'size': 8}
-
id: 105814461
{'aut_label': '8A1', 'centralizer': '48.bd1.a1', 'counter': 58, 'group_counter': 87077, 'group_order': 768, 'label': '8A1', 'order': 8, 'powers': [20, 59], 'representative': 129, 'size': 48}
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id: 105814462
{'aut_label': '8A1', 'centralizer': '48.bd1.a1', 'counter': 59, 'group_counter': 87077, 'group_order': 768, 'label': '8A-1', 'order': 8, 'powers': [20, 58], 'representative': 131, 'size': 48}
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id: 105814464
{'aut_label': '8A1', 'centralizer': '48.bd1.b1', 'counter': 60, 'group_counter': 87077, 'group_order': 768, 'label': '8B1', 'order': 8, 'powers': [21, 61], 'representative': 91, 'size': 48}
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id: 105814465
{'aut_label': '8A1', 'centralizer': '48.bd1.b1', 'counter': 61, 'group_counter': 87077, 'group_order': 768, 'label': '8B-1', 'order': 8, 'powers': [21, 60], 'representative': 25, 'size': 48}
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id: 105814466
{'aut_label': '12A', 'centralizer': '8.c1.a1', 'counter': 62, 'group_counter': 87077, 'group_order': 768, 'label': '12A', 'order': 12, 'powers': [37, 20], 'representative': 258, 'size': 8}
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id: 105814467
{'aut_label': '12A', 'centralizer': '8.c1.a1', 'counter': 63, 'group_counter': 87077, 'group_order': 768, 'label': '12B', 'order': 12, 'powers': [37, 21], 'representative': 322, 'size': 8}
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id: 105814468
{'aut_label': '12C1', 'centralizer': '8.c1.a1', 'counter': 64, 'group_counter': 87077, 'group_order': 768, 'label': '12C1', 'order': 12, 'powers': [37, 22], 'representative': 264, 'size': 8}
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id: 105814469
{'aut_label': '12C1', 'centralizer': '8.c1.a1', 'counter': 65, 'group_counter': 87077, 'group_order': 768, 'label': '12C-1', 'order': 12, 'powers': [37, 22], 'representative': 136, 'size': 8}
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id: 105814470
{'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 66, 'group_counter': 87077, 'group_order': 768, 'label': '12D1', 'order': 12, 'powers': [52, 23], 'representative': 289, 'size': 8}
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id: 105814471
{'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 67, 'group_counter': 87077, 'group_order': 768, 'label': '12D-1', 'order': 12, 'powers': [53, 24], 'representative': 355, 'size': 8}
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id: 105814472
{'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 68, 'group_counter': 87077, 'group_order': 768, 'label': '12D5', 'order': 12, 'powers': [53, 23], 'representative': 161, 'size': 8}
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id: 105814473
{'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 69, 'group_counter': 87077, 'group_order': 768, 'label': '12D-5', 'order': 12, 'powers': [52, 24], 'representative': 227, 'size': 8}
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id: 105814475
{'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 70, 'group_counter': 87077, 'group_order': 768, 'label': '12E1', 'order': 12, 'powers': [52, 25], 'representative': 353, 'size': 8}
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id: 105814476
{'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 71, 'group_counter': 87077, 'group_order': 768, 'label': '12E-1', 'order': 12, 'powers': [53, 26], 'representative': 291, 'size': 8}
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id: 105814477
{'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 72, 'group_counter': 87077, 'group_order': 768, 'label': '12E5', 'order': 12, 'powers': [53, 25], 'representative': 225, 'size': 8}
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id: 105814478
{'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 73, 'group_counter': 87077, 'group_order': 768, 'label': '12E-5', 'order': 12, 'powers': [52, 26], 'representative': 163, 'size': 8}
-
id: 105814479
{'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 74, 'group_counter': 87077, 'group_order': 768, 'label': '12F1', 'order': 12, 'powers': [53, 27], 'representative': 297, 'size': 8}
-
id: 105814480
{'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 75, 'group_counter': 87077, 'group_order': 768, 'label': '12F-1', 'order': 12, 'powers': [52, 28], 'representative': 299, 'size': 8}
-
id: 105814481
{'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 76, 'group_counter': 87077, 'group_order': 768, 'label': '12F5', 'order': 12, 'powers': [52, 27], 'representative': 169, 'size': 8}
-
id: 105814482
{'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 77, 'group_counter': 87077, 'group_order': 768, 'label': '12F-5', 'order': 12, 'powers': [53, 28], 'representative': 171, 'size': 8}
-
id: 105814483
{'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 78, 'group_counter': 87077, 'group_order': 768, 'label': '12G1', 'order': 12, 'powers': [53, 29], 'representative': 361, 'size': 8}
-
id: 105814484
{'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 79, 'group_counter': 87077, 'group_order': 768, 'label': '12G-1', 'order': 12, 'powers': [52, 30], 'representative': 363, 'size': 8}
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id: 105814486
{'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 80, 'group_counter': 87077, 'group_order': 768, 'label': '12G5', 'order': 12, 'powers': [52, 29], 'representative': 233, 'size': 8}
-
id: 105814487
{'aut_label': '12D1', 'centralizer': '8.p1.a1', 'counter': 81, 'group_counter': 87077, 'group_order': 768, 'label': '12G-5', 'order': 12, 'powers': [53, 30], 'representative': 235, 'size': 8}
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gps_qchar • Show schema
Hide schema
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id: 3622930
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1a', '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], 'schur_index': 1}
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id: 3622941
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1b', '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], 'schur_index': 1}
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id: 3622952
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1c', '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], 'schur_index': 1}
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id: 3622963
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1d', '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], 'schur_index': 1}
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id: 3622974
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1e', '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], 'schur_index': 1}
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id: 3622980
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1f', '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], 'schur_index': 1}
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id: 3622981
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 3622982
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1], 'schur_index': 1}
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id: 3622983
{'cdim': 1, 'counter': 9, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1i', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 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, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0], 'schur_index': 1}
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id: 3622931
{'cdim': 1, 'counter': 10, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1j', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 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, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0], 'schur_index': 1}
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id: 3622932
{'cdim': 1, 'counter': 11, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, -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, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0], 'schur_index': 1}
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id: 3622933
{'cdim': 1, 'counter': 12, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.1l', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, -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, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0], 'schur_index': 1}
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id: 3622934
{'cdim': 2, 'counter': 13, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0, 0, 0, 0, -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: 3622935
{'cdim': 2, 'counter': 14, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 2, -2, 2, 0, -2, 2, -2, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, 0, 2, -2, 2, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, -2, 0, 0, -2, -2, 0, 0, -2, 2, 0, 2, 2, 0, 2, 0], 'schur_index': 1}
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id: 3622936
{'cdim': 2, 'counter': 15, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 2, -2, 2, 0, -2, 2, -2, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, 0, 2, -2, 2, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, -2, 0, 0, 2, 2, 0, 0, 2, -2, 0, -2, -2, 0, -2, 0], 'schur_index': 1}
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id: 3622937
{'cdim': 2, 'counter': 16, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2d', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 2, -2, 2, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, 0, 2, -2, 2, -2, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, -2, 2, -2, 2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 2], 'schur_index': 1}
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id: 3622938
{'cdim': 2, 'counter': 17, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2e', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 2, -2, 2, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, 0, 2, -2, 2, -2, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, 2, 2, 2, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, -2], 'schur_index': 1}
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id: 3622939
{'cdim': 2, 'counter': 18, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2f', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, -2, 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, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0], 'schur_index': 1}
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id: 3622940
{'cdim': 2, 'counter': 19, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2g', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 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, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0], 'schur_index': 1}
-
id: 3622942
{'cdim': 2, 'counter': 20, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2h', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 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, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0], 'schur_index': 1}
-
id: 3622943
{'cdim': 2, 'counter': 21, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2i', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, -2, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, -2, 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, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0], 'schur_index': 1}
-
id: 3622944
{'cdim': 2, 'counter': 22, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2j', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 0, 0, -1, 2, 2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 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, 0, 0, 0, 0, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1], 'schur_index': 1}
-
id: 3622945
{'cdim': 2, 'counter': 23, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2k', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 0, 0, -1, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 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, 0, 0, 0, 0, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1], 'schur_index': 1}
-
id: 3622946
{'cdim': 2, 'counter': 24, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2l', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -1, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 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, 0, 0, 0, 0, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1], 'schur_index': 1}
-
id: 3622947
{'cdim': 2, 'counter': 25, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2m', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, -4, -4, 0, -4, 4, 4, 0, 0, 0, 0, 0, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, -4, 0, 0, 0, 4, 0, 0, 4, 0, -4, 4, -4, -4, 0, 4, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 3622948
{'cdim': 2, 'counter': 26, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2n', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, -4, -4, 0, 4, -4, 4, 0, 0, 0, 0, 0, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, -4, 0, 0, 0, 4, 0, 0, 4, 0, -4, 4, -4, -4, 0, -4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 3622949
{'cdim': 2, 'counter': 27, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2o', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, -4, 4, 4, 4, -4, -4, 4, -4, 0, 0, -2, -4, -4, 0, 0, 0, 0, 0, 4, 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, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0], 'schur_index': 1}
-
id: 3622950
{'cdim': 2, 'counter': 28, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2p', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, -4, -4, 4, 4, -4, 4, -4, 4, 0, 0, -2, -4, -4, 0, 0, 0, 0, 0, -4, 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, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0], 'schur_index': 1}
-
id: 3622951
{'cdim': 2, 'counter': 29, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2q', 'multiplicity': 2, 'nt': [12, 12], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, -4, 4, -4, -4, -4, -4, 4, 4, 0, 0, -2, 4, 4, 0, 0, 0, 0, 0, -4, 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, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0], 'schur_index': 1}
-
id: 3622953
{'cdim': 2, 'counter': 30, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2r', 'multiplicity': 2, 'nt': [12, 12], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, 4, -4, -4, 0, 0, -2, 4, 4, 0, 0, 0, 0, 0, 4, 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, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0], 'schur_index': 1}
-
id: 3622954
{'cdim': 2, 'counter': 31, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2s', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, -4, 4, 0, -4, 4, -4, 0, 0, 0, 0, 0, -2, 4, -4, -4, 4, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 0, -2, 2, -2, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, -2, 0, -2, -2, 0, -2, 0], 'schur_index': 1}
-
id: 3622955
{'cdim': 2, 'counter': 32, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2t', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, -4, 4, 0, -4, 4, -4, 0, 0, 0, 0, 0, -2, 4, -4, 4, -4, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 0, -2, 2, -2, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 2, 0, 0, -2, -2, 0, 0, -2, 2, 0, 2, 2, 0, 2, 0], 'schur_index': 1}
-
id: 3622956
{'cdim': 2, 'counter': 33, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2u', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, -4, 4, 0, 4, -4, -4, 0, 0, 0, 0, 0, -2, -4, 4, 0, 0, -4, 4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 0, -2, 2, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 2, -2, 2, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, -2], 'schur_index': 1}
-
id: 3622957
{'cdim': 2, 'counter': 34, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2v', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, -4, 4, 0, 4, -4, -4, 0, 0, 0, 0, 0, -2, -4, 4, 0, 0, 4, -4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 0, -2, 2, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2, -2, -2, -2, 2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 2], 'schur_index': 1}
-
id: 3622958
{'cdim': 2, 'counter': 35, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2w', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, 4, -4, -4, -4, 4, -4, -4, 4, 0, 0, -2, -4, -4, 0, 0, 0, 0, 0, 4, 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, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, 0], 'schur_index': 1}
-
id: 3622959
{'cdim': 2, 'counter': 36, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2x', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, 4, 4, 4, -4, 0, 0, -2, -4, -4, 0, 0, 0, 0, 0, -4, 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, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0], 'schur_index': 1}
-
id: 3622962
{'cdim': 4, 'counter': 39, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4a', 'multiplicity': 1, 'nt': [8, 19], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, -4, 4, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, -4, 0, -4, 4, -4, -4, 4, 0, 0, 0, 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, 0], 'schur_index': 1}
-
id: 3622964
{'cdim': 4, 'counter': 40, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4b', 'multiplicity': 1, 'nt': [8, 19], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, -4, 4, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, -4, 0, 4, -4, -4, 4, -4, 0, 0, 0, 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, 0], 'schur_index': 1}
-
id: 3622965
{'cdim': 4, 'counter': 41, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4c', 'multiplicity': 1, 'nt': [8, 19], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 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, 0, 0, 0, 4, 0, 0, 0, -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], 'schur_index': 1}
-
id: 3622966
{'cdim': 4, 'counter': 42, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4d', 'multiplicity': 1, 'nt': [8, 19], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 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, 0, 0, 0, -4, 0, 0, 0, -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], 'schur_index': 1}
-
id: 3622967
{'cdim': 4, 'counter': 43, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4e', 'multiplicity': 1, 'nt': [8, 27], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 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], 'schur_index': 1}
-
id: 3622968
{'cdim': 4, 'counter': 44, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4f', 'multiplicity': 1, 'nt': [8, 27], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 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], 'schur_index': 1}
-
id: 3622969
{'cdim': 4, 'counter': 45, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4g', 'multiplicity': 1, 'nt': [8, 27], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, -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], 'schur_index': 1}
-
id: 3622970
{'cdim': 4, 'counter': 46, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4h', 'multiplicity': 1, 'nt': [8, 27], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, -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], 'schur_index': 1}
-
id: 3622960
{'cdim': 2, 'counter': 37, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2y', 'multiplicity': 4, 'nt': [24, 19], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 8, -8, -8, 0, -8, 8, 8, 0, 0, 0, 0, 0, -4, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, 0, 0, -4, 0, 0, -4, 0, 4, -4, 4, 4, 0, -4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 3622961
{'cdim': 2, 'counter': 38, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.2z', 'multiplicity': 4, 'nt': [24, 19], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 8, -8, -8, 0, 8, -8, 8, 0, 0, 0, 0, 0, -4, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, 0, 0, -4, 0, 0, -4, 0, 4, -4, 4, 4, 0, 4, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
-
id: 3622971
{'cdim': 4, 'counter': 47, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4i', 'multiplicity': 2, 'nt': [24, 94], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, -8, 8, 0, -8, 0, 0, 0, 0, 8, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, 4, -4, 4, 4, -4, 0, 0, 0, 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, 0], 'schur_index': 1}
-
id: 3622972
{'cdim': 4, 'counter': 48, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.4j', 'multiplicity': 2, 'nt': [24, 94], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, -8, 8, 0, 8, 0, 0, 0, 0, -8, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, -4, 4, 4, -4, 4, 0, 0, 0, 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, 0], 'schur_index': 1}
-
id: 3622973
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id: 3622975
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id: 3622976
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id: 3622977
{'cdim': 8, 'counter': 52, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.8b', 'multiplicity': 1, 'nt': [24, 340], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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], 'schur_index': 1}
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id: 3622978
{'cdim': 8, 'counter': 53, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.8c', 'multiplicity': 1, 'nt': [24, 340], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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], 'schur_index': 1}
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id: 3622979
{'cdim': 8, 'counter': 54, 'faithful': False, 'group': '768.87077', 'group_order': 768, 'image': None, 'label': '768.87077.8d', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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gps_char • Show schema
Hide schema
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id: 5217760
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id: 5217763
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id: 5217684
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id: 5217685
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id: 5217686
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id: 5217687
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id: 5217688
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 768, 'counter': 14, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1.a1', 'kernel_order': 192, 'label': '768.87077.1k2', 'nt': [4, 2], 'q_character': None, 'values': [[[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, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 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, 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, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]]]}
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id: 5217689
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 768, 'counter': 15, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 192, 'label': '768.87077.1l1', 'nt': [4, 1], 'q_character': None, 'values': [[[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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 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, 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, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]]]}
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id: 5217690
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 768, 'counter': 16, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 192, 'label': '768.87077.1l2', 'nt': [4, 2], 'q_character': None, 'values': [[[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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 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, 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, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]]]}
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id: 5217691
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id: 5217692
{'center': '4.g1.b1', 'center_index': 4, 'center_order': 192, 'counter': 18, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.l1.b1', 'kernel_order': 96, 'label': '768.87077.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]]]}
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id: 5217693
{'center': '4.g1.b1', 'center_index': 4, 'center_order': 192, 'counter': 19, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.l1.a1', 'kernel_order': 96, 'label': '768.87077.2c', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]]]}
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id: 5217695
{'center': '4.g1.a1', 'center_index': 4, 'center_order': 192, 'counter': 20, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.l1.d1', 'kernel_order': 96, 'label': '768.87077.2d', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]]]}
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id: 5217696
{'center': '4.g1.a1', 'center_index': 4, 'center_order': 192, 'counter': 21, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.l1.c1', 'kernel_order': 96, 'label': '768.87077.2e', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]]]}
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id: 5217697
{'center': '4.a1.a1', 'center_index': 4, 'center_order': 192, 'counter': 22, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.e1.a1', 'kernel_order': 96, 'label': '768.87077.2f', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-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]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]]]}
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id: 5217698
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id: 5217699
{'center': '4.a1.a1', 'center_index': 4, 'center_order': 192, 'counter': 24, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.c1.a1', 'kernel_order': 96, 'label': '768.87077.2h', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-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]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]]]}
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id: 5217700
{'center': '4.a1.a1', 'center_index': 4, 'center_order': 192, 'counter': 25, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.a1.a1', 'kernel_order': 96, 'label': '768.87077.2i', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]]]}
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id: 5217701
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 128, 'counter': 26, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1.a1', 'kernel_order': 64, 'label': '768.87077.2j', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
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id: 5217702
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 128, 'counter': 27, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1.b1', 'kernel_order': 64, 'label': '768.87077.2k', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
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id: 5217703
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 128, 'counter': 28, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1.a1', 'kernel_order': 64, 'label': '768.87077.2l', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
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id: 5217704
{'center': '4.g1.b1', 'center_index': 4, 'center_order': 192, 'counter': 29, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.h1.a1', 'kernel_order': 48, 'label': '768.87077.2m1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[2, 1]], [[0, 0]]]}
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id: 5217706
{'center': '4.g1.b1', 'center_index': 4, 'center_order': 192, 'counter': 30, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.h1.a1', 'kernel_order': 48, 'label': '768.87077.2m2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]]]}
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id: 5217707
{'center': '4.g1.a1', 'center_index': 4, 'center_order': 192, 'counter': 31, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.h1.b1', 'kernel_order': 48, 'label': '768.87077.2n1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]]]}
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id: 5217708
{'center': '4.g1.a1', 'center_index': 4, 'center_order': 192, 'counter': 32, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.h1.b1', 'kernel_order': 48, 'label': '768.87077.2n2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]]]}
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id: 5217709
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 128, 'counter': 33, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.d1.a1', 'kernel_order': 32, 'label': '768.87077.2o1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]]]}
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id: 5217710
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 128, 'counter': 34, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.d1.a1', 'kernel_order': 32, 'label': '768.87077.2o2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]]]}
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id: 5217711
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 128, 'counter': 35, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 32, 'label': '768.87077.2p1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]]]}
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id: 5217712
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 128, 'counter': 36, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 32, 'label': '768.87077.2p2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]]]}
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id: 5217713
{'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 37, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.e1.a1', 'kernel_order': 32, 'label': '768.87077.2q1', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 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, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
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id: 5217714
{'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 38, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.e1.a1', 'kernel_order': 32, 'label': '768.87077.2q2', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 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, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
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id: 5217715
{'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 39, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.c1.a1', 'kernel_order': 32, 'label': '768.87077.2r1', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 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, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
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id: 5217717
{'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 40, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.c1.a1', 'kernel_order': 32, 'label': '768.87077.2r2', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 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, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
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id: 5217718
{'center': '12.b1.b1', 'center_index': 12, 'center_order': 64, 'counter': 41, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.b1', 'kernel_order': 32, 'label': '768.87077.2s1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]]]}
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id: 5217719
{'center': '12.b1.b1', 'center_index': 12, 'center_order': 64, 'counter': 42, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.b1', 'kernel_order': 32, 'label': '768.87077.2s2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]]]}
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id: 5217720
{'center': '12.b1.b1', 'center_index': 12, 'center_order': 64, 'counter': 43, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.a1', 'kernel_order': 32, 'label': '768.87077.2t1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]]]}
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id: 5217721
{'center': '12.b1.b1', 'center_index': 12, 'center_order': 64, 'counter': 44, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.a1', 'kernel_order': 32, 'label': '768.87077.2t2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]]]}
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id: 5217722
{'center': '12.b1.a1', 'center_index': 12, 'center_order': 64, 'counter': 45, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.d1', 'kernel_order': 32, 'label': '768.87077.2u1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]]]}
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id: 5217723
{'center': '12.b1.a1', 'center_index': 12, 'center_order': 64, 'counter': 46, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.d1', 'kernel_order': 32, 'label': '768.87077.2u2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]]]}
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id: 5217724
{'center': '12.b1.a1', 'center_index': 12, 'center_order': 64, 'counter': 47, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.c1', 'kernel_order': 32, 'label': '768.87077.2v1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]]]}
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id: 5217725
{'center': '12.b1.a1', 'center_index': 12, 'center_order': 64, 'counter': 48, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.h1.c1', 'kernel_order': 32, 'label': '768.87077.2v2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]]]}
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id: 5217726
{'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 49, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.g1.a1', 'kernel_order': 32, 'label': '768.87077.2w1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]]]}
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id: 5217728
{'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 50, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.g1.a1', 'kernel_order': 32, 'label': '768.87077.2w2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[-1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]]]}
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id: 5217729
{'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 51, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 32, 'label': '768.87077.2x1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]]]}
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id: 5217730
{'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 52, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1.a1', 'kernel_order': 32, 'label': '768.87077.2x2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[1, 0]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]], [[1, 0], [2, 1]], [[1, 0], [2, 1]], [[1, 0]], [[-1, 0], [-2, 1]], [[-1, 0], [-2, 1]]]}
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id: 5217731
{'center': '12.b1.b1', 'center_index': 12, 'center_order': 64, 'counter': 53, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.h1.a1', 'kernel_order': 16, 'label': '768.87077.2y1', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[1, 1], [1, -1]], [[1, 3]], [[1, 3]], [[1, 1], [1, -1]], [[-1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[1, 1], [1, -1]]]}
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id: 5217732
{'center': '12.b1.b1', 'center_index': 12, 'center_order': 64, 'counter': 54, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.h1.a1', 'kernel_order': 16, 'label': '768.87077.2y2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 1], [1, -1]], [[-1, 3]], [[-1, 3]], [[1, 1], [1, -1]], [[1, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 1], [1, -1]]]}
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id: 5217733
{'center': '12.b1.b1', 'center_index': 12, 'center_order': 64, 'counter': 55, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.h1.a1', 'kernel_order': 16, 'label': '768.87077.2y3', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 1], [-1, -1]], [[1, 3]], [[1, 3]], [[-1, 1], [-1, -1]], [[-1, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[-1, 1], [-1, -1]]]}
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id: 5217734
{'center': '12.b1.b1', 'center_index': 12, 'center_order': 64, 'counter': 56, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.h1.a1', 'kernel_order': 16, 'label': '768.87077.2y4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[-1, 1], [-1, -1]], [[-1, 3]], [[-1, 3]], [[-1, 1], [-1, -1]], [[1, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 1], [-1, -1]]]}
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id: 5217735
{'center': '12.b1.a1', 'center_index': 12, 'center_order': 64, 'counter': 57, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.h1.b1', 'kernel_order': 16, 'label': '768.87077.2z1', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 3]], [[-1, 1], [-1, -1]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0], [-2, 2]], [[-1, 1], [-1, -1]], [[1, 3]]]}
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id: 5217736
{'center': '12.b1.a1', 'center_index': 12, 'center_order': 64, 'counter': 58, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.h1.b1', 'kernel_order': 16, 'label': '768.87077.2z2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 3]], [[-1, 1], [-1, -1]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0], [-2, 2]], [[1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0], [2, 2]], [[-1, 1], [-1, -1]], [[-1, 3]]]}
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id: 5217737
{'center': '12.b1.a1', 'center_index': 12, 'center_order': 64, 'counter': 59, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.h1.b1', 'kernel_order': 16, 'label': '768.87077.2z3', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 3]], [[1, 1], [1, -1]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0], [2, 2]], [[1, 1], [1, -1]], [[1, 3]]]}
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id: 5217739
{'center': '12.b1.a1', 'center_index': 12, 'center_order': 64, 'counter': 60, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.h1.b1', 'kernel_order': 16, 'label': '768.87077.2z4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 3]], [[1, 1], [1, -1]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0], [-2, 2]], [[1, 1], [1, -1]], [[-1, 3]]]}
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id: 5217740
{'center': '16.b1.a1', 'center_index': 16, 'center_order': 48, 'counter': 61, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '32.6', 'image_order': 32, 'indicator': 1, 'kernel': '32.h1.b1', 'kernel_order': 24, 'label': '768.87077.4a', 'nt': [8, 19], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 5217741
{'center': '16.b1.a1', 'center_index': 16, 'center_order': 48, 'counter': 62, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '32.6', 'image_order': 32, 'indicator': 1, 'kernel': '32.h1.a1', 'kernel_order': 24, 'label': '768.87077.4b', 'nt': [8, 19], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 5217742
{'center': '16.a1.a1', 'center_index': 16, 'center_order': 48, 'counter': 63, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '32.6', 'image_order': 32, 'indicator': 1, 'kernel': '32.c1.a1', 'kernel_order': 24, 'label': '768.87077.4c', 'nt': [8, 19], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-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]]]}
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id: 5217743
{'center': '16.a1.a1', 'center_index': 16, 'center_order': 48, 'counter': 64, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '32.6', 'image_order': 32, 'indicator': 1, 'kernel': '32.a1.a1', 'kernel_order': 24, 'label': '768.87077.4d', 'nt': [8, 19], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-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]]]}
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id: 5217744
{'center': '32.a1.a1', 'center_index': 32, 'center_order': 24, 'counter': 65, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '64.32', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1.b1', 'kernel_order': 12, 'label': '768.87077.4e', 'nt': [8, 27], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 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]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 5217745
{'center': '32.a1.a1', 'center_index': 32, 'center_order': 24, 'counter': 66, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '64.32', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1.b1', 'kernel_order': 12, 'label': '768.87077.4f', 'nt': [8, 27], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 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]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 5217746
{'center': '32.a1.a1', 'center_index': 32, 'center_order': 24, 'counter': 67, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '64.32', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1.a1', 'kernel_order': 12, 'label': '768.87077.4g', 'nt': [8, 27], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 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]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 5217747
{'center': '32.a1.a1', 'center_index': 32, 'center_order': 24, 'counter': 68, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '64.32', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1.a1', 'kernel_order': 12, 'label': '768.87077.4h', 'nt': [8, 27], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 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]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 5217748
{'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 69, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '96.13', 'image_order': 96, 'indicator': 0, 'kernel': '96.h1.b1', 'kernel_order': 8, 'label': '768.87077.4i1', 'nt': [24, 94], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 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]], [[-2, 0], [-4, 1]], [[2, 0]], [[-2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0]], [[2, 0], [4, 1]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0], [4, 1]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[-2, 0]], [[-2, 0], [-4, 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]]]}
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id: 5217750
{'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 70, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '96.13', 'image_order': 96, 'indicator': 0, 'kernel': '96.h1.b1', 'kernel_order': 8, 'label': '768.87077.4i2', 'nt': [24, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 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]], [[2, 0], [4, 1]], [[2, 0]], [[-2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[2, 0]], [[-2, 0], [-4, 1]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0], [-4, 1]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0]], [[2, 0], [4, 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]]]}
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id: 5217751
{'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 71, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '96.13', 'image_order': 96, 'indicator': 0, 'kernel': '96.h1.a1', 'kernel_order': 8, 'label': '768.87077.4j1', 'nt': [24, 94], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 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]], [[-2, 0], [-4, 1]], [[2, 0]], [[-2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0]], [[2, 0], [4, 1]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0], [4, 1]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0]], [[-2, 0], [-4, 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]]]}
-
id: 5217752
{'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 72, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '96.13', 'image_order': 96, 'indicator': 0, 'kernel': '96.h1.a1', 'kernel_order': 8, 'label': '768.87077.4j2', 'nt': [24, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 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]], [[2, 0], [4, 1]], [[2, 0]], [[-2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[2, 0]], [[-2, 0], [-4, 1]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0], [-4, 1]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[-2, 0]], [[2, 0], [4, 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]]]}
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id: 5217753
{'center': '48.a1.a1', 'center_index': 48, 'center_order': 16, 'counter': 73, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '96.13', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1.a1', 'kernel_order': 8, 'label': '768.87077.4k1', 'nt': [24, 94], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 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]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[-2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0], [-4, 1]], [[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]], [[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: 5217754
{'center': '48.a1.a1', 'center_index': 48, 'center_order': 16, 'counter': 74, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '96.13', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1.a1', 'kernel_order': 8, 'label': '768.87077.4k2', 'nt': [24, 2], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 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]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0], [4, 1]], [[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]], [[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: 5217755
{'center': '48.a1.a1', 'center_index': 48, 'center_order': 16, 'counter': 75, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '96.13', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1.a1', 'kernel_order': 8, 'label': '768.87077.4l1', 'nt': [24, 94], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 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]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0], [-4, 1]], [[2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0], [4, 1]], [[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]], [[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: 5217756
{'center': '48.a1.a1', 'center_index': 48, 'center_order': 16, 'counter': 76, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '96.13', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1.a1', 'kernel_order': 8, 'label': '768.87077.4l2', 'nt': [24, 2], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 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]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[2, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0], [4, 1]], [[2, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0], [-4, 1]], [[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]], [[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: 5217757
{'center': '64.a1.a1', 'center_index': 64, 'center_order': 12, 'counter': 77, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '128.853', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1.a1', 'kernel_order': 6, 'label': '768.87077.8a', 'nt': [16, 219], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 5217758
{'center': '96.a1.a1', 'center_index': 96, 'center_order': 8, 'counter': 78, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '192.30', 'image_order': 192, 'indicator': 1, 'kernel': '192.b1.b1', 'kernel_order': 4, 'label': '768.87077.8b', 'nt': [24, 340], 'q_character': None, 'values': [[[8, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-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]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 5217759
{'center': '96.a1.a1', 'center_index': 96, 'center_order': 8, 'counter': 79, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '192.30', 'image_order': 192, 'indicator': 1, 'kernel': '192.b1.a1', 'kernel_order': 4, 'label': '768.87077.8c', 'nt': [24, 340], 'q_character': None, 'values': [[[8, 0]], [[8, 0]], [[-8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-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]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
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id: 5217761
{'center': '192.a1.a1', 'center_index': 192, 'center_order': 4, 'counter': 80, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '384.2591', 'image_order': 384, 'indicator': 0, 'kernel': '384.b1.a1', 'kernel_order': 2, 'label': '768.87077.8d1', 'nt': [48, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-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]], [[-4, 0], [-8, 1]], [[4, 0]], [[4, 0]], [[4, 0], [8, 1]], [[-4, 0], [-8, 1]], [[-4, 0]], [[4, 0], [8, 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]]]}
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id: 5217762
{'center': '192.a1.a1', 'center_index': 192, 'center_order': 4, 'counter': 81, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '768.87077', 'group_counter': 87077, 'group_order': 768, 'image': None, 'image_isoclass': '384.2591', 'image_order': 384, 'indicator': 0, 'kernel': '384.b1.a1', 'kernel_order': 2, 'label': '768.87077.8d2', 'nt': [48, 2], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-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]], [[4, 0], [8, 1]], [[4, 0]], [[4, 0]], [[-4, 0], [-8, 1]], [[4, 0], [8, 1]], [[-4, 0]], [[-4, 0], [-8, 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]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 59918042
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 768, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '768.87077.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '768.87077', 'subgroup_hash': 87077, 'subgroup_order': 768, 'subgroup_tex': '(C_2^3\\times C_{12}).D_4', 'supersolvable': True, 'sylow': 0}
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id: 59918272
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 384, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.16628', 'subgroup_hash': 16628, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:D_6', 'supersolvable': True, 'sylow': 0}
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id: 59918383
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 384, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.17321', 'subgroup_hash': 17321, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 59918494
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 384, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.4705', 'subgroup_hash': 4705, 'subgroup_order': 384, 'subgroup_tex': '(C_6\\times D_4).D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918605
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 384, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.2590', 'subgroup_hash': 2590, 'subgroup_order': 384, 'subgroup_tex': '(C_2^3\\times D_6):C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918716
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 384, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.2.d1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.2590', 'subgroup_hash': 2590, 'subgroup_order': 384, 'subgroup_tex': '(C_2^3\\times D_6):C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918827
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 384, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.2.e1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.270', 'subgroup_hash': 270, 'subgroup_order': 384, 'subgroup_tex': '(C_6\\times D_4).D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918938
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 384, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.2.e1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.270', 'subgroup_hash': 270, 'subgroup_order': 384, 'subgroup_tex': '(C_6\\times D_4).D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919049
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 128, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '768.87077.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.6074', 'subgroup_hash': 6074, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 2}
-
id: 59918043
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 192, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.1531', 'subgroup_hash': 1531, 'subgroup_order': 192, 'subgroup_tex': 'C_{12}:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918154
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 192, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.1529', 'subgroup_hash': 1529, 'subgroup_order': 192, 'subgroup_tex': 'D_6:C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918184
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 192, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.806', 'subgroup_hash': 806, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918195
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 192, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.1358', 'subgroup_hash': 1358, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918206
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 192, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.779', 'subgroup_hash': 779, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918217
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 192, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.1358', 'subgroup_hash': 1358, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918228
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 192, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.842', 'subgroup_hash': 842, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918239
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 192, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.842', 'subgroup_hash': 842, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918250
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 192, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.779', 'subgroup_hash': 779, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918261
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 192, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.775', 'subgroup_hash': 775, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918273
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 192, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.4.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.775', 'subgroup_hash': 775, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918284
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 96, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1399', 'subgroup_hash': 1399, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918295
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 96, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1401', 'subgroup_hash': 1401, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918306
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 96, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.772', 'subgroup_hash': 772, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3.D_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918317
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 96, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.766', 'subgroup_hash': 766, 'subgroup_order': 192, 'subgroup_tex': '(C_2\\times C_6):\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 59918328
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 96, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.782', 'subgroup_hash': 782, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918339
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 96, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.775', 'subgroup_hash': 775, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918350
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 96, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.782', 'subgroup_hash': 782, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918361
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.842', 'subgroup_hash': 842, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918372
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.842', 'subgroup_hash': 842, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918384
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.r1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.r1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.842', 'subgroup_hash': 842, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918395
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.r1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.r1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.842', 'subgroup_hash': 842, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918406
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.r1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.r1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.842', 'subgroup_hash': 842, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918417
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 96, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.30', 'subgroup_hash': 30, 'subgroup_order': 192, 'subgroup_tex': '(C_2^2\\times D_6):C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918428
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 96, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.s1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.s1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.30', 'subgroup_hash': 30, 'subgroup_order': 192, 'subgroup_tex': '(C_2^2\\times D_6):C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918439
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 96, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.s1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.s1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.30', 'subgroup_hash': 30, 'subgroup_order': 192, 'subgroup_tex': '(C_2^2\\times D_6):C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918450
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 96, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.4.s1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.s1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.30', 'subgroup_hash': 30, 'subgroup_order': 192, 'subgroup_tex': '(C_2^2\\times D_6):C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918461
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 128, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.1613', 'subgroup_hash': 1613, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918472
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 64, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '128.1135', 'subgroup_hash': 1135, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918483
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '128.515', 'subgroup_hash': 515, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5.C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918495
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.6.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '128.850', 'subgroup_hash': 850, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918506
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.6.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '128.850', 'subgroup_hash': 850, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918517
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.6.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '128.122', 'subgroup_hash': 122, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 59918528
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.6.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '128.122', 'subgroup_hash': 122, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 59918539
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 96, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.231', 'subgroup_hash': 231, 'subgroup_order': 96, 'subgroup_tex': 'C_2^4\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918550
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 96, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.231', 'subgroup_hash': 231, 'subgroup_order': 96, 'subgroup_tex': 'C_2^4\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918561
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 96, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.220', 'subgroup_hash': 220, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918572
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 96, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918583
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 96, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918594
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 96, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1.a1', 'outer_equivalence': False, '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': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918606
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 96, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918617
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 96, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.230', 'subgroup_hash': 230, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918628
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 96, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.218', 'subgroup_hash': 218, 'subgroup_order': 96, 'subgroup_tex': 'C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918639
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 96, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.159', 'subgroup_hash': 159, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918650
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 96, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.159', 'subgroup_hash': 159, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918661
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918672
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918683
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.l1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.l1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918694
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.8.l1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.l1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918705
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918717
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.159', 'subgroup_hash': 159, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918728
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918739
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.220', 'subgroup_hash': 220, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918750
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918761
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.37', 'subgroup_hash': 37, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918772
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918783
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.159', 'subgroup_hash': 159, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918794
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918805
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918816
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.v1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.v1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918828
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.159', 'subgroup_hash': 159, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918839
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918850
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.159', 'subgroup_hash': 159, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918861
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.134', 'subgroup_hash': 134, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2.D_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918872
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.134', 'subgroup_hash': 134, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2.D_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918883
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.38', 'subgroup_hash': 38, 'subgroup_order': 96, 'subgroup_tex': 'C_6.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 59918894
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.128', 'subgroup_hash': 128, 'subgroup_order': 96, 'subgroup_tex': 'C_6:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 59918905
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bc1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.128', 'subgroup_hash': 128, 'subgroup_order': 96, 'subgroup_tex': 'C_6:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 59918916
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.38', 'subgroup_hash': 38, 'subgroup_order': 96, 'subgroup_tex': 'C_6.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 59918927
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918939
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918950
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918961
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.37', 'subgroup_hash': 37, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918972
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.160', 'subgroup_hash': 160, 'subgroup_order': 96, 'subgroup_tex': 'C_2^4:S_3', 'supersolvable': True, 'sylow': 0}
-
id: 59918983
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bi1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bi1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.160', 'subgroup_hash': 160, 'subgroup_order': 96, 'subgroup_tex': 'C_2^4:S_3', 'supersolvable': True, 'sylow': 0}
-
id: 59918994
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bi1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bi1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.160', 'subgroup_hash': 160, 'subgroup_order': 96, 'subgroup_tex': 'C_2^4:S_3', 'supersolvable': True, 'sylow': 0}
-
id: 59919005
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bi1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bi1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.160', 'subgroup_hash': 160, 'subgroup_order': 96, 'subgroup_tex': 'C_2^4:S_3', 'supersolvable': True, 'sylow': 0}
-
id: 59919016
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59919027
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bj1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59919038
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bj1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bj1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59919050
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bj1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bj1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59919061
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919072
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bk1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bk1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919083
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919094
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bl1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bl1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919105
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59919116
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bm1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bm1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59919127
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bm1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bm1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59919138
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bm1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bm1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59919149
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918044
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bn1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bn1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918055
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918066
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bo1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bo1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918077
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.144', 'subgroup_hash': 144, 'subgroup_order': 96, 'subgroup_tex': 'D_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918088
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bp1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bp1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.144', 'subgroup_hash': 144, 'subgroup_order': 96, 'subgroup_tex': 'D_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918099
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.40', 'subgroup_hash': 40, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918110
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bq1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bq1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.40', 'subgroup_hash': 40, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918121
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.br1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.144', 'subgroup_hash': 144, 'subgroup_order': 96, 'subgroup_tex': 'D_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918132
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.br1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.br1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.144', 'subgroup_hash': 144, 'subgroup_order': 96, 'subgroup_tex': 'D_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918143
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918155
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bs1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bs1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918166
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bt1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.40', 'subgroup_hash': 40, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918176
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bt1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bt1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.40', 'subgroup_hash': 40, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918177
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918178
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bu1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918179
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bu1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bu1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918180
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bu1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bu1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.49', 'subgroup_hash': 49, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918181
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.144', 'subgroup_hash': 144, 'subgroup_order': 96, 'subgroup_tex': 'D_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918182
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bv1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.144', 'subgroup_hash': 144, 'subgroup_order': 96, 'subgroup_tex': 'D_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918183
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.40', 'subgroup_hash': 40, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918185
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.8.bw1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.bw1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.40', 'subgroup_hash': 40, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918186
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 64, 'counter': 121, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, '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': ['U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918187
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 64, 'counter': 122, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918188
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 64, 'counter': 123, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.12.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.b1', 'outer_equivalence': False, '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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918189
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918190
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 32, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918191
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918192
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918193
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.67', 'subgroup_hash': 67, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918194
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.88', 'subgroup_hash': 88, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 59918196
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918197
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.67', 'subgroup_hash': 67, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918198
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.73', 'subgroup_hash': 73, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918199
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.92', 'subgroup_hash': 92, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 59918200
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918201
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.67', 'subgroup_hash': 67, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918202
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.92', 'subgroup_hash': 92, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 59918203
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.o1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.o1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.92', 'subgroup_hash': 92, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 59918204
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.73', 'subgroup_hash': 73, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918205
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918207
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918208
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.r1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.r1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918209
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.r1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.r1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918210
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.r1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.r1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918211
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.32', 'subgroup_hash': 32, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918212
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.s1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.s1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.32', 'subgroup_hash': 32, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918213
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.s1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.s1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.32', 'subgroup_hash': 32, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918214
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.12.s1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.s1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.32', 'subgroup_hash': 32, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918215
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 48, 'counter': 148, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918216
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 48, 'counter': 149, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918218
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 48, 'counter': 150, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918219
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 48, 'counter': 151, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1.a1', 'outer_equivalence': False, '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': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918220
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 48, 'counter': 152, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918221
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 48, 'counter': 153, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918222
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 48, 'counter': 154, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918223
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 155, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918224
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 156, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918225
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 157, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918226
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 158, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.16.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918227
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918229
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918230
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918231
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918232
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.51', 'subgroup_hash': 51, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918233
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.42', 'subgroup_hash': 42, 'subgroup_order': 48, 'subgroup_tex': 'C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918234
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.42', 'subgroup_hash': 42, 'subgroup_order': 48, 'subgroup_tex': 'C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918235
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.42', 'subgroup_hash': 42, 'subgroup_order': 48, 'subgroup_tex': 'C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918236
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918237
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918238
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918240
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918241
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918242
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918243
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918244
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918245
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918246
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.z1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.z1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918247
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.51', 'subgroup_hash': 51, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918248
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.42', 'subgroup_hash': 42, 'subgroup_order': 48, 'subgroup_tex': 'C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918249
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918251
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bc1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bc1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918252
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.9', 'subgroup_hash': 9, 'subgroup_order': 48, 'subgroup_tex': 'C_6:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 59918253
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bd1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bd1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.9', 'subgroup_hash': 9, 'subgroup_order': 48, 'subgroup_tex': 'C_6:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 59918254
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918255
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.be1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.be1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918256
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918257
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bf1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bf1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918258
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918259
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918260
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bg1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bg1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918262
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bg1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bg1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918263
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bg2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bg2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918264
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bg2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bg2.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918265
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918266
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bh1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bh1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918267
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918268
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bi1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bi1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918269
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918270
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918271
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bj1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918274
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bj1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918275
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bj2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918276
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bj2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj2.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918277
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bj2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj2.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918278
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bj2.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bj2.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918279
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918280
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bk1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bk1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918281
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918282
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bl1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bl1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918283
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918285
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bm1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bm1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918286
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918287
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bn1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bn1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918288
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.51', 'subgroup_hash': 51, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918289
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bo1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bo1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.51', 'subgroup_hash': 51, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918290
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.42', 'subgroup_hash': 42, 'subgroup_order': 48, 'subgroup_tex': 'C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918291
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bp1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bp1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.42', 'subgroup_hash': 42, 'subgroup_order': 48, 'subgroup_tex': 'C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918292
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918293
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bq1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bq1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918294
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bq2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bq2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918296
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bq2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bq2.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918297
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918298
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.br1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918299
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.br1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918300
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.br1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918301
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.br2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918302
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.br2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br2.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918303
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.br2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br2.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918304
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.br2.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.br2.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918305
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918307
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bt1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918308
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918309
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bu1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bu1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918310
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918311
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918312
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.bx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.51', 'subgroup_hash': 51, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918313
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.by1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.by1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918314
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.bz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918315
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ca1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ca1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918316
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918318
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cb1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cb1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918319
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918320
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cc1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918321
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918322
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cd1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cd1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918323
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ce1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ce1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918324
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918325
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918326
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918327
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cg1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cg1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918329
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cg1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cg1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918330
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ch1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ch1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918331
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ch1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ch1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918332
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ch1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ch1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918333
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ch1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ch1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918334
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ci1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ci1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918335
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ci1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ci1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918336
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ci1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ci1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918337
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ci1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ci1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918338
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918340
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cj1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918341
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ck1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ck1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918342
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ck1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ck1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918343
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918344
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918345
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.51', 'subgroup_hash': 51, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918346
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cn1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cn1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.51', 'subgroup_hash': 51, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918347
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.co1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.co1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918348
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.co1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.co1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918349
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918351
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918352
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cr1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cr1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918353
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cr1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cr1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918354
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cr1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cr1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918355
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cr1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cr1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918356
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.14', 'subgroup_hash': 14, 'subgroup_order': 48, 'subgroup_tex': 'D_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918357
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cs1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cs1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.14', 'subgroup_hash': 14, 'subgroup_order': 48, 'subgroup_tex': 'D_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918358
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ct1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ct1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.10', 'subgroup_hash': 10, 'subgroup_order': 48, 'subgroup_tex': 'C_3:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 59918359
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.ct1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.ct1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.10', 'subgroup_hash': 10, 'subgroup_order': 48, 'subgroup_tex': 'C_3:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 59918360
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918362
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cu1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918363
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918364
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cv1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918365
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918366
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cw1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.cw1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918367
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918368
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cy1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cy1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918369
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918370
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.cz1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cz1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918371
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.da1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.da1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.51', 'subgroup_hash': 51, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918373
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.db1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.db1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918374
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.dc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.dc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.14', 'subgroup_hash': 14, 'subgroup_order': 48, 'subgroup_tex': 'D_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918375
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.dc1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.dc1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.14', 'subgroup_hash': 14, 'subgroup_order': 48, 'subgroup_tex': 'D_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918376
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.dd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.dd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.10', 'subgroup_hash': 10, 'subgroup_order': 48, 'subgroup_tex': 'C_3:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 59918377
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.dd1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.dd1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.10', 'subgroup_hash': 10, 'subgroup_order': 48, 'subgroup_tex': 'C_3:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 59918378
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.de1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.de1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918379
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.de1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.de1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918380
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.de1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.de1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918381
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.de1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.de1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918382
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.df1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.df1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918385
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.df1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.df1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918386
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.df1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.df1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918387
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.df1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.df1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918388
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.dg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918389
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.dg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918390
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.dg1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dg1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918391
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.16.dg1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dg1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918392
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 32, 'counter': 307, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 59918393
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 32, 'counter': 308, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, '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': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 59918394
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 32, 'counter': 309, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918396
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 32, 'counter': 310, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1.a1', 'outer_equivalence': False, '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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918397
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 32, 'counter': 311, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918398
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 32, 'counter': 312, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1.a1', 'outer_equivalence': False, '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': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918399
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 32, 'counter': 313, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918400
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 314, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918401
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 315, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918402
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 316, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.h1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.h1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918403
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 317, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.24.h1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.h1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918404
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918405
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918407
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918408
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918409
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918410
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.5', 'subgroup_hash': 5, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 59918411
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918412
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918413
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918414
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918415
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.r1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.r1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918416
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918418
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
-
id: 59918419
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918420
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918421
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918422
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918423
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918424
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918425
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918426
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.2', 'subgroup_hash': 2, 'subgroup_order': 32, 'subgroup_tex': 'C_2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 59918427
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.37', 'subgroup_hash': 37, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 59918429
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bc1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.37', 'subgroup_hash': 37, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 59918430
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.2', 'subgroup_hash': 2, 'subgroup_order': 32, 'subgroup_tex': 'C_2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 59918431
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918432
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918433
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918434
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.5', 'subgroup_hash': 5, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 59918435
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918436
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bi1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bi1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918437
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bi1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bi1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918438
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bi1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bi1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918440
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918441
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bj1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918442
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bj1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bj1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918443
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bj1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bj1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918444
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918445
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bk1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bk1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918446
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918447
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bl1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bl1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918448
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918449
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bm1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bm1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918451
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bm1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bm1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918452
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bm1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bm1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918453
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918454
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bn1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bn1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918455
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918456
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bo1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bo1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918457
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918458
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bp1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bp1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918459
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918460
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bq1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bq1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918462
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.br1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918463
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.br1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.br1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918464
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 16, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918465
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 16, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bs1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bs1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918466
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bt1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918467
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bt1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bt1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918468
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918469
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bu1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918470
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bu1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bu1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918471
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bu1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bu1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918473
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918474
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bv1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918475
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918476
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.24.bw1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bw1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918477
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 24, 'counter': 384, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918478
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 24, 'counter': 385, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 22, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918479
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 24, 'counter': 386, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918480
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 24, 'counter': 387, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_4', '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: 59918481
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 388, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918482
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 389, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918484
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 24, 'counter': 390, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', '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: 59918485
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 391, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': ['C5'], '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: 59918486
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 392, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918487
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 393, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918488
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 394, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.32.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918489
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918490
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918491
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918492
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918493
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918496
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918497
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918498
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918499
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918500
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.q1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.q1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918501
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918502
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.r1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.r1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918503
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918504
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.s1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.s1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918505
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918507
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.t1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.t1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918508
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.t1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.t1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918509
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.t1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.t1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918510
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918511
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918512
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918513
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918514
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918515
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.y1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.y1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918516
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.y2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.y2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918518
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918519
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.z1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.z1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918520
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.z2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.z2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918521
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918522
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918523
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918524
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918525
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bd1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bd1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918526
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918527
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.be1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.be1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918529
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.be1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.be1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918530
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.be1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.be1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918531
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918532
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bf1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bf1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918533
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918534
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918535
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bg2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bg2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918536
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bg2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bg2.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918537
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918538
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bh1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bh1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918540
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bh2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bh2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918541
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bh2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bh2.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918542
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918543
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bi1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918544
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bi1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918545
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bi1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918546
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bi1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918547
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bi1.c2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1.c2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918548
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bi1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918549
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bi1.d2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bi1.d2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918551
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918552
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918553
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bk1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bk1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918554
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918555
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918556
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918557
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918558
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918559
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918560
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bq2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bq2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918562
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.br1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918563
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918564
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bt1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918565
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918566
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918567
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bv1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918568
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918569
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bw1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.bw1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918570
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918571
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.by1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.by1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918573
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918574
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.bz1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bz1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918575
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ca1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ca1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918576
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ca1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ca1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918577
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918578
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cb1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cb1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918579
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918580
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cc1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918581
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918582
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ce1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ce1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918584
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918585
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918586
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ch1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.ch1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918587
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ci1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ci1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918588
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918589
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ck1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ck1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918590
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918591
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918592
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918593
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.co1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.co1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918595
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918596
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cp1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cp1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918597
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918598
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cq1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cq1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918599
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cr1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cr1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918600
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cr1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cr1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918601
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cr1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cr1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918602
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cr1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cr1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918603
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918604
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cs1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cs1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918607
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cs1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cs1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918608
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cs1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cs1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918609
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ct1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ct1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918610
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.ct1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ct1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918611
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918612
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cu1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918613
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918614
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cv1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918615
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918616
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cw1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cw1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918618
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918619
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cx1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cx1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918620
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cy1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cy1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918621
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cy1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.cy1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918622
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918623
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.cz1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cz1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918624
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.da1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.da1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918625
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.da1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.da1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918626
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.da1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.da1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918627
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.da1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.da1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918629
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.db1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.db1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 59918630
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 6, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.db1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.db1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 59918631
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918632
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dc1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918633
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918634
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dd1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dd1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918635
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.de1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.de1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918636
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.de1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.de1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918637
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.de1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.de1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918638
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.de1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.de1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918640
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.df1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.df1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918641
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.df1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.df1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918642
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.df1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.df1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918643
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.df1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.df1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918644
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918645
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dg1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dg1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918646
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918647
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dg1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dg1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918648
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918649
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dh1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dh1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918651
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dh1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dh1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918652
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dh1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dh1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918653
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dh1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dh1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918654
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dh1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dh1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918655
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dh1.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dh1.g1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918656
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dh1.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dh1.h1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 59918657
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.di1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.di1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918658
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.di1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.di1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918659
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918660
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dj1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918662
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dj1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dj1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918663
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dj1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dj1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918664
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918665
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dk1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dk1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918666
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918667
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dl1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dl1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918668
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dl1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dl1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918669
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dl1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dl1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918670
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918671
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dm1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dm1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918673
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dm1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dm1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918674
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.32.dm1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.dm1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918675
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 16, 'counter': 562, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.14', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6:C_4', 'simple': False, 'solvable': True, 'special_labels': ['U2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918676
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 16, 'counter': 563, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.14', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918677
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 16, 'counter': 564, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918678
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 16, 'counter': 565, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1.a1', 'outer_equivalence': False, '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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918679
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 16, 'counter': 566, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.14', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918680
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 16, 'counter': 567, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.36', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{12}', '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: 59918681
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 16, 'counter': 568, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.14', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6:C_4', '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: 59918682
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 569, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918684
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 570, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918685
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 571, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918686
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 572, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.48.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918687
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918688
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918689
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918690
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918691
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918692
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918693
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918695
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918696
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918697
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918698
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918699
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918700
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918701
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918702
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918703
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918704
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918706
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.z1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.z1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918707
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918708
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918709
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918710
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bc1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bc1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918711
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 59918712
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bd1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bd1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 59918713
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918714
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.be1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.be1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918715
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918718
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bf1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bf1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918719
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918720
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918721
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bg1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bg1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918722
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bg1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bg1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918723
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bg2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bg2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918724
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bg2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bg2.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918725
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918726
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bh1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bh1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918727
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918729
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bi1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bi1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918730
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918731
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918732
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bj1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918733
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bj1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918734
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bj2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918735
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bj2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj2.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918736
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bj2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj2.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918737
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bj2.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj2.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918738
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918740
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bk1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bk1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918741
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918742
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bl1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bl1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918743
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918744
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bm1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bm1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918745
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918746
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bn1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bn1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918747
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918748
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bo1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bo1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918749
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918751
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bp1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bp1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918752
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918753
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bq1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bq1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918754
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bq2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bq2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918755
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bq2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bq2.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918756
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918757
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.br1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918758
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.br1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918759
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.br1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918760
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.br2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918762
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.br2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br2.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918763
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.br2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br2.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918764
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.br2.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br2.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918765
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918766
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bt1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918767
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918768
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bu1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bu1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918769
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918770
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918771
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918773
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.by1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.by1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918774
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.bz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918775
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ca1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ca1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918776
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918777
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cb1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cb1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918778
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918779
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cc1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918780
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918781
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cd1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cd1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918782
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ce1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ce1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918784
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918785
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918786
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918787
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cg1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cg1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918788
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cg1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cg1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918789
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ch1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ch1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918790
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ch1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ch1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918791
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ch1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ch1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918792
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ch1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ch1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918793
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ci1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ci1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918795
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ci1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ci1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918796
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ci1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ci1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918797
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ci1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ci1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918798
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918799
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cj1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918800
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ck1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ck1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918801
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ck1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ck1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918802
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918803
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918804
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918806
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cn1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cn1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918807
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.co1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.co1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918808
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.co1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.co1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918809
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918810
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918811
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cr1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cr1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918812
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cr1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cr1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918813
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cr1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cr1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918814
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cr1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cr1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918815
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918817
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cs1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cs1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918818
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ct1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ct1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 59918819
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.ct1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ct1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 59918820
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918821
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cu1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918822
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918823
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cv1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918824
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918825
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cw1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cw1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918826
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918829
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cy1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cy1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918830
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918831
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.cz1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cz1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918832
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.da1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.da1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
-
id: 59918833
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.db1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.db1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918834
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.dc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918835
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.dc1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dc1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918836
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.dd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 59918837
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.dd1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dd1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 59918838
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.de1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.de1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918840
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.de1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.de1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918841
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.de1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.de1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918842
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.de1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.de1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918843
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.df1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.df1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918844
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.df1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.df1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918845
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.df1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.df1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918846
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.df1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.df1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918847
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.dg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918848
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.dg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918849
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.dg1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dg1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918851
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.48.dg1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dg1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918852
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 12, 'counter': 721, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.90', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 90, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': ['S'], '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: 59918853
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 12, 'counter': 722, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.64.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.32', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 32, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 59918854
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 12, 'counter': 723, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.64.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.32', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 32, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 59918855
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 12, 'counter': 724, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.64.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.67', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 67, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_4', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C6'], '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: 59918856
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 12, 'counter': 725, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.64.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.90', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 90, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918857
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918858
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918859
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918860
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918862
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918863
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918864
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918865
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918866
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918867
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918868
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 6, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918869
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918870
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918871
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918873
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918874
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918875
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918876
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918877
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 6, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918878
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918879
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.v1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.v1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918880
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918881
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918882
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918884
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.y1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.y1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918885
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 6, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918886
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918887
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918888
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 754, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.64.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918889
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 755, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.64.bc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bc1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918890
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 6, 'counter': 756, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.64.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918891
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918892
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.be1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.be1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918893
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918895
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bf1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bf1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918896
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918897
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918898
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bg1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bg1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918899
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bg1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bg1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918900
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918901
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bh1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bh1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918902
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bh1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bh1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918903
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bh1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bh1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918904
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918906
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bi1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bi1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918907
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bi1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bi1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918908
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bi1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bi1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918909
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918910
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918911
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918912
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bl1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bl1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918913
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918914
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918915
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918917
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bo1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bo1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918918
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bo2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bo2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918919
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918920
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918921
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bq1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bq1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918922
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.br1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918923
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918924
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bs1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bs1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918925
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bt1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918926
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918928
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bu1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918929
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bu2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bu2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918930
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918931
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918932
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bw1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bw1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918933
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918934
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bx1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bx1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918935
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.by1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.by1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918936
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.by1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.by1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918937
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.by1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.by1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918940
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.by1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.by1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918941
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918942
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bz1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bz1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918943
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bz1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bz1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918944
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bz1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bz1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918945
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bz2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bz2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918946
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bz2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bz2.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918947
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bz2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bz2.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918948
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.64.bz2.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.bz2.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
-
id: 59918949
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 809, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.64.ca1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.ca1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918951
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 810, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.64.ca1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.ca1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918952
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 811, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.64.ca1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.ca1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918953
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 812, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.64.ca1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.ca1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, '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: 59918954
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 813, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_{12}', '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: 59918955
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 814, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.134', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 134, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_{12}', '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: 59918956
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 8, 'counter': 815, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_{12}', '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: 59918957
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 8, 'counter': 816, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.136', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 136, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.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: 59918958
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 817, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 135, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918959
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 818, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 135, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918960
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': True, 'core_order': 8, 'counter': 819, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.160', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 160, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:S_3', '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: 59918962
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 820, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.137', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 137, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918963
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 821, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.137', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 137, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918964
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 822, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_{12}', '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: 59918965
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 823, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.96.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_{12}', '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: 59918966
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918967
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918968
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918969
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918970
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918971
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918973
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918974
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918975
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918976
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.q1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.q1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918977
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918978
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.r1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.r1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918979
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918980
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.s1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.s1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918981
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918982
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.t1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.t1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918984
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.t1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.t1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918985
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.t1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.t1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918986
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918987
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918988
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918989
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918990
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918991
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.y1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.y1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918992
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.y2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.y2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59918993
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918995
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.z1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.z1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918996
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.z2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.z2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918997
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918998
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59918999
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919000
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919001
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bd1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bd1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919002
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919003
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.be1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.be1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919004
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.be1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.be1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919006
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.be1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.be1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919007
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919008
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bf1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bf1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919009
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919010
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919011
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bg2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bg2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919012
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bg2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bg2.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919013
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919014
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bh1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bh1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919015
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bh2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bh2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919017
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bh2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bh2.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919018
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919019
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bi1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919020
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bi1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919021
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bi1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919022
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bi1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919023
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bi1.c2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1.c2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919024
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bi1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919025
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bi1.d2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1.d2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919026
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919028
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919029
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bk1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bk1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919030
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919031
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919032
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919033
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919034
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919035
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919036
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bq2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bq2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919037
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.br1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919039
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919040
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bt1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919041
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919042
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919043
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bv1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919044
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919045
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bw1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bw1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919046
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919047
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.by1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.by1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919048
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919051
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.bz1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bz1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919052
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ca1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ca1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919053
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ca1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ca1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919054
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919055
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cb1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cb1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919056
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919057
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cc1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919058
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919059
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ce1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ce1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919060
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919062
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919063
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ch1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ch1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919064
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ci1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ci1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919065
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919066
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ck1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ck1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919067
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919068
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919069
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919070
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.co1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.co1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919071
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919073
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cp1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cp1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919074
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919075
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cq1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cq1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919076
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cr1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cr1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919077
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cr1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cr1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919078
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cr1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cr1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919079
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 926, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cr1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cr1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919080
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919081
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 928, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cs1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cs1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919082
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 929, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cs1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cs1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919084
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 930, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cs1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cs1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919085
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 931, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ct1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ct1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919086
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 932, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.ct1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ct1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919087
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919088
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 934, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cu1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919089
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 935, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919090
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 936, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cv1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cv1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919091
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 937, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919092
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 938, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cw1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cw1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919093
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 939, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919095
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 940, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cx1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cx1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919096
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 941, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cy1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cy1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919097
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 942, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cy1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cy1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919098
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 943, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919099
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 944, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.cz1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cz1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919100
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 945, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.da1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.da1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919101
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 946, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.da1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.da1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919102
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 947, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.da1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.da1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919103
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 948, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.da1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.da1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919104
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 949, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.96.db1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.db1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 59919106
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 950, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.96.db1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.db1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 59919107
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 951, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919108
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 952, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dc1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919109
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 953, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919110
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 954, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dd1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dd1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919111
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 955, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.de1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.de1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919112
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 956, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.de1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.de1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919113
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 957, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.de1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.de1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919114
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 958, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.de1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.de1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919115
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 959, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.df1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.df1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919117
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 960, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.df1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.df1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919118
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 961, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.df1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.df1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919119
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 962, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.df1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.df1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919120
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 963, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919121
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 964, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dg1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dg1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919122
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 965, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919123
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 966, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dg1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dg1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919124
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 967, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919125
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 968, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dh1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919126
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 969, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dh1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919128
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 970, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dh1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919129
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 971, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dh1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919130
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 972, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dh1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919131
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 973, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dh1.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1.g1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919132
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 974, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dh1.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1.h1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919133
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 975, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.di1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.di1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919134
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 976, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.di1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.di1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919135
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 977, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919136
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 978, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dj1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dj1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919137
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 979, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dj1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dj1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919139
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 980, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dj1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dj1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919140
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 981, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919141
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 982, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dk1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dk1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919142
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 983, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919143
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 984, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dl1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dl1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919144
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 985, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dl1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dl1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919145
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 986, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dl1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dl1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
-
id: 59919146
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 987, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919147
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 988, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dm1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dm1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919148
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 989, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dm1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dm1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919150
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 990, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.96.dm1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dm1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 59919151
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 6, 'counter': 991, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.87077.128.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.850', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 850, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:C_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: 59919152
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 6, 'counter': 992, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.87077.128.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.853', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 853, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 59919153
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 6, 'counter': 993, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.87077.128.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.630', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 630, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_4', 'simple': False, 'solvable': True, 'special_labels': ['L3', 'C7'], '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: 59919154
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 3, 'counter': 994, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, '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: 59919155
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 3, 'counter': 995, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, '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: 59919156
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 996, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, '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: 59919157
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 997, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, '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: 59919158
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 998, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, '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: 59919159
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 999, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, '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: 59918045
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 1000, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, '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: 59918046
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 1001, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, '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: 59918047
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 1002, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, '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: 59918048
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 1003, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, '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: 59918049
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 3, 'counter': 1004, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, '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: 59918050
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 3, 'counter': 1005, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.128.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, '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: 59918051
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 1006, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.128.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, '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': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
-
id: 59918052
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 1007, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.128.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.m1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, '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': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
-
id: 59918053
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 4, 'counter': 1008, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.192.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.513', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 513, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_{12}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U3'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 59918054
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 4, 'counter': 1009, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.192.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times D_6):C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 59918056
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 4, 'counter': 1010, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.192.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^2\\times D_6):C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 59918057
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 4, 'counter': 1011, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.192.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.772', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 772, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_{12}', '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: 59918058
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 4, 'counter': 1012, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.87077.192.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.513', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 513, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_{12}', '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: 59918059
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 1013, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918060
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1014, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918061
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1015, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918062
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1016, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918063
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1017, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918064
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 1018, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918065
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1019, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918067
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1020, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918068
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1021, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918069
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1022, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918070
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 1023, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918071
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 1024, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918072
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1025, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918073
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1026, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918074
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1027, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918075
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1028, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918076
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 1029, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918078
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1030, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918079
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 1031, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918080
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1032, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918081
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1033, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.v1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.v1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918082
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1034, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918083
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1035, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918084
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1036, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918085
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1037, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.y1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.y1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918086
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1038, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918087
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 1039, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918089
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 1040, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918090
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1041, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918091
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 1042, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.bc1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bc1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918092
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 1043, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918093
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1044, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918094
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1045, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.be1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.be1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918095
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1046, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918096
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1047, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bf1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bf1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918097
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1048, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918098
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1049, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bg1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bg1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918100
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1050, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bg1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bg1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918101
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1051, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bg1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bg1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918102
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1052, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918103
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1053, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bh1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bh1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918104
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1054, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bh1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bh1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918105
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1055, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bh1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bh1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918106
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1056, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918107
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1057, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bi1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bi1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918108
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1058, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bi1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bi1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918109
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1059, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bi1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bi1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918111
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1060, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918112
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1061, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918113
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1062, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918114
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1063, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bl1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bl1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918115
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1064, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918116
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1065, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918117
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1066, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918118
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1067, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bo1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bo1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918119
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1068, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bo2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bo2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918120
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1069, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918122
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1070, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918123
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1071, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bq1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bq1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918124
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1072, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.br1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.br1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918125
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1073, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bs1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bs1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918126
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1074, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bs1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bs1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918127
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1075, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bt1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bt1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918128
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1076, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bu1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bu1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918129
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1077, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bu1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bu1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918130
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1078, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bu2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bu2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918131
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1079, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.bv1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bv1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918133
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1080, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bw1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bw1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918134
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1081, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bw1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bw1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918135
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1082, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bx1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bx1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918136
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1083, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bx1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bx1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918137
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1084, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.by1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.by1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918138
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1085, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.by1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.by1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918139
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1086, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.by1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.by1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918140
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1087, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.by1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.by1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918141
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1088, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bz1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918142
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1089, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bz1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918144
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1090, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bz1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918145
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1091, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bz1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918146
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1092, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bz2.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz2.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918147
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1093, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bz2.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz2.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918148
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1094, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bz2.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz2.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918149
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1095, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.87077.192.bz2.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz2.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918150
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1096, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.ca1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ca1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918151
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1097, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.ca1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ca1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918152
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1098, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.ca1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ca1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918153
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1099, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.192.ca1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ca1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, '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}
-
id: 59918156
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 3, 'counter': 1100, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '768.87077.256.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '256.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.6074', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6074, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5.D_4', 'simple': True, 'solvable': True, 'special_labels': ['L4', 'C8'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
-
id: 59918157
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 2, 'counter': 1101, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.87077.384.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '384.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '384.2590', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2590, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times D_6):C_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918158
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 2, 'counter': 1102, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.87077.384.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '384.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '384.2591', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2591, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times D_4).D_{12}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918159
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 2, 'counter': 1103, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.87077.384.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '384.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '384.4119', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4119, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4.D_{12}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
-
id: 59918160
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 1104, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, '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}
-
id: 59918161
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 1105, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, '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}
-
id: 59918162
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 1106, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, '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}
-
id: 59918163
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 1107, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, '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}
-
id: 59918164
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1108, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, '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}
-
id: 59918165
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1109, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, '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}
-
id: 59918167
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1110, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, '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}
-
id: 59918168
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1111, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, '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}
-
id: 59918169
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1112, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, '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}
-
id: 59918170
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1113, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, '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}
-
id: 59918171
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1114, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, '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}
-
id: 59918172
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1115, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, '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}
-
id: 59918173
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1116, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, '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: 59918174
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1117, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.87077.384.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.m1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, '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: 59918175
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.87077', 'ambient_counter': 87077, 'ambient_order': 768, 'ambient_tex': '(C_2^3\\times C_{12}).D_4', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 1, 'counter': 1118, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '768.87077.768.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '768.87077', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 87077, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2^3\\times C_{12}).D_4', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U4', 'D2', 'C9'], '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: 59918078
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.t1.a1', '96.m1.a1', '96.bq1.a1', '96.bq2.a1', '96.bw1.a1', '96.bw1.a2'], 'contains': ['384.b1.a1', '384.m1.a1', '384.m1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 80], 'label': '768.87077.192.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918097
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bg1.a1', '96.r1.a1', '96.bk1.a1', '96.bz1.a1', '96.dc1.a1', '96.df1.a1'], 'contains': ['384.d1.a1', '384.g1.a1', '384.i1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 454], 'label': '768.87077.192.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918098
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bg1.b1', '96.r1.a1', '96.bk1.a2', '96.bz1.b1', '96.dc1.a1', '96.df1.b1'], 'contains': ['384.d1.a1', '384.g1.b1', '384.i1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [76, 70], 'label': '768.87077.192.bg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.bg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918099
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.b1'], 'contains': ['16.h1.a1', '16.ct1.b1', '24.bq1.a1'], 'core': '16.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 256, 16, 388, 82, 400], 'label': '768.87077.8.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.b1', 'old_label': '8.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918042
{'ambient': '768.87077', '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': '192.a1.a1', 'complements': ['768.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.d1.b1', '2.e1.a1', '2.e1.b1', '3.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 256, 452, 64, 8, 2, 16, 384, 32], 'label': '768.87077.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.b1', '2.d1.a1', '2.e1.b1', '2.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918043
{'ambient': '768.87077', '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': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.d1.a1', '8.e1.a1', '8.f1.a1', '8.g1.a1', '8.o1.a1', '8.be1.a1', '8.bk1.a1', '8.bk1.b1', '8.bl1.a1', '8.bl1.b1', '8.bn1.a1', '8.bn1.b1', '12.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 256, 384, 2, 16, 452, 64], 'label': '768.87077.4.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.b1.a1', '8.a1.a1', '8.c1.a1', '8.f1.a1', '8.d1.a1', '8.g1.a1', '8.e1.a1', '12.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918044
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.cd1.b1', '16.ce1.a1', '16.cf1.a1', '16.cg1.c1', '16.cg1.d1', '16.ch1.c1', '16.ch1.d1', '16.cu1.b1', '16.cv1.b1', '16.cx1.a1', '16.cy1.a1', '16.de1.c1', '16.de1.d1', '16.df1.c1', '16.df1.d1', '24.bn1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 256, 2, 452, 448], 'label': '768.87077.8.bn1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '8.bn1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bn1.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918045
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.g1.a1', '64.p1.a1', '64.w1.a1', '64.be1.a1', '64.be1.b1', '64.bf1.a1', '64.bf1.b1', '64.bw1.a1', '64.bw1.b1', '64.bx1.a1', '64.bx1.b1', '64.by1.a1', '64.by1.a2', '64.by1.b1', '64.by1.b2'], 'contains': ['256.a1.a1', '384.h1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 256], 'label': '768.87077.128.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '128.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918046
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.h1.a1', '64.q1.a1', '64.x1.a1', '64.bg1.a1', '64.bg1.b1', '64.bg1.c1', '64.bg1.d1', '64.bk1.a1', '64.br1.a1', '64.bw1.a1', '64.bw1.b1'], 'contains': ['256.a1.a1', '384.i1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454, 256], 'label': '768.87077.128.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '128.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918047
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.i1.a1', '64.r1.a1', '64.y1.a1', '64.bi1.a1', '64.bi1.c1', '64.bl1.a1', '64.bs1.a1', '64.bs1.a2', '64.by1.a1', '64.by1.a2', '64.bz1.a1', '64.bz1.b1', '64.bz2.a1', '64.bz2.a2'], 'contains': ['256.a1.a1', '384.j1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [388, 256], 'label': '768.87077.128.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '128.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918048
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.i1.a1', '64.r1.a1', '64.y1.b1', '64.bi1.b1', '64.bi1.d1', '64.bl1.b1', '64.bs1.a1', '64.bs1.a2', '64.by1.b1', '64.by1.b2', '64.bz1.c1', '64.bz1.d1', '64.bz2.b1', '64.bz2.b2'], 'contains': ['256.a1.a1', '384.j1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 256], 'label': '768.87077.128.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '128.j1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.j1.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918049
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.h1.a1', '64.q1.a1', '64.z1.a1', '64.bh1.a1', '64.bh1.b1', '64.bh1.c1', '64.bh1.d1', '64.bm1.a1', '64.br1.a1', '64.bx1.a1', '64.bx1.b1', '64.ca1.a1', '64.ca1.b1', '64.ca1.c1', '64.ca1.d1'], 'contains': ['256.a1.a1', '384.k1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [390, 256], 'label': '768.87077.128.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '128.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918050
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.j1.a1', '64.s1.a1', '64.ba1.a1', '64.bi1.a1', '64.bi1.b1', '64.bi1.c1', '64.bi1.d1', '64.bn1.a1', '64.bt1.a1', '64.by1.a1', '64.by1.a2', '64.by1.b1', '64.by1.b2'], 'contains': ['256.a1.a1', '384.l1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [478, 256], 'label': '768.87077.128.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '128.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918051
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.k1.a1', '64.t1.a1', '64.bb1.a1', '64.bo1.a1', '64.bo2.a1', '64.bu1.a1', '64.bu2.a1', '64.bz1.a1', '64.bz1.c1', '64.bz2.a1', '64.bz2.a2', '64.bz2.b1', '64.bz2.b2'], 'contains': ['256.a1.a1', '384.m1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 256], 'label': '768.87077.128.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '128.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918052
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.k1.b1', '64.t1.a1', '64.bb1.a1', '64.bo1.b1', '64.bo2.a1', '64.bu1.b1', '64.bu2.a1', '64.bz1.b1', '64.bz1.d1', '64.bz2.a1', '64.bz2.a2', '64.bz2.b1', '64.bz2.b2'], 'contains': ['256.a1.a1', '384.m1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 256], 'label': '768.87077.128.m1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '128.m1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.m1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918053
{'ambient': '768.87077', '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.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.a1.a1', '96.b1.a1', '96.c1.a1', '96.i1.a1', '96.j1.a1', '96.k1.a1', '96.l1.a1', '96.m1.a1', '96.n1.a1', '96.o1.a1', '96.p1.a1'], 'contains': ['384.a1.a1', '384.b1.a1', '384.c1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64, 16], 'label': '768.87077.192.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.a1.a1', 'normal_contained_in': ['64.a1.a1', '96.a1.a1', '96.b1.a1', '96.c1.a1'], 'normal_contains': ['384.c1.a1', '384.b1.a1', '384.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918054
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': ['4.s1.d1', '4.s1.b1', '4.s1.c1', '4.s1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.b1.a1', '96.a1.a1', '96.q1.a1', '96.r1.a1', '96.s1.a1', '96.t1.a1', '96.t1.b1'], 'contains': ['384.a1.a1', '384.d1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 64], 'label': '768.87077.192.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1.a1', 'normal_contained_in': ['64.b1.a1', '96.a1.a1'], 'normal_contains': ['384.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918055
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1'], 'contains': ['16.cd1.a1', '16.ci1.a1', '16.ci1.b1', '16.cz1.a1', '16.cz1.b1', '16.dg1.a1', '16.dg1.b1', '24.bo1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 16, 390, 476, 448, 256], 'label': '768.87077.8.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '8.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918056
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': ['4.s1.d1', '4.s1.b1', '4.s1.c1', '4.s1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.b1.b1', '96.a1.a1', '96.q1.b1', '96.r1.b1', '96.s1.b1', '96.t1.c1', '96.t1.d1'], 'contains': ['384.a1.a1', '384.d1.b1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [26, 64], 'label': '768.87077.192.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1.b1', 'normal_contained_in': ['64.b1.b1', '96.a1.a1'], 'normal_contains': ['384.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.b1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.b1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918057
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.c1.a1', '96.b1.a1', '96.d1.a1', '96.e1.a1', '96.e1.b1', '96.f1.a1', '96.g1.a1', '96.g1.b1', '96.bx1.a1', '96.cd1.a1', '96.ce1.a1', '96.cf1.a1', '96.cg1.a1', '96.ch1.a1'], 'contains': ['384.c1.a1', '384.e1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [384, 16], 'label': '768.87077.192.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.c1.a1', 'normal_contained_in': ['64.c1.a1', '96.b1.a1', '96.e1.b1', '96.e1.a1', '96.d1.a1', '96.f1.a1', '96.g1.a1', '96.g1.b1'], 'normal_contains': ['384.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918058
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.d1.a1', '96.b1.a1', '96.h1.a1', '96.h1.b1', '96.by1.a1', '96.ci1.a1', '96.cj1.a1', '96.ck1.a1', '96.cl1.a1', '96.cm1.a1', '96.cn1.a1', '96.co1.a1'], 'contains': ['384.c1.a1', '384.f1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [448, 16], 'label': '768.87077.192.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.d1.a1', 'normal_contained_in': ['64.d1.a1', '96.b1.a1', '96.h1.b1', '96.h1.a1'], 'normal_contains': ['384.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918059
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.e1.a1', '96.b1.a1', '96.q1.a1', '96.q1.b1', '96.u1.a1', '96.v1.a1', '96.w1.a1', '96.x1.a1', '96.y1.a1', '96.y1.b1', '96.y2.a1', '96.z1.a1', '96.z1.b1', '96.z2.a1', '96.ba1.a1', '96.bb1.a1'], 'contains': ['384.a1.a1', '384.e1.a1', '384.f1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64, 384], 'label': '768.87077.192.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '192.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918060
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.f1.a1', '96.i1.a1', '96.r1.a1', '96.r1.b1', '96.u1.a1', '96.bc1.a1'], 'contains': ['384.a1.a1', '384.g1.a1', '384.g1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 64], 'label': '768.87077.192.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918061
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.g1.a1', '96.c1.a1', '96.q1.a1', '96.q1.b1', '96.bc1.a1', '96.bd1.a1', '96.bd1.a2', '96.be1.a1', '96.be1.b1', '96.be1.c1', '96.be1.d1'], 'contains': ['384.a1.a1', '384.h1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [394, 64], 'label': '768.87077.192.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '192.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918062
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.h1.a1', '96.j1.a1', '96.r1.a1', '96.r1.b1', '96.v1.a1', '96.bc1.a1', '96.bf1.a1', '96.bf1.b1'], 'contains': ['384.a1.a1', '384.i1.a1', '384.k1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [390, 64], 'label': '768.87077.192.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918063
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.i1.a1', '96.k1.a1', '96.s1.a1', '96.s1.b1', '96.w1.a1', '96.bd1.a1', '96.bd1.a2', '96.bg1.a1', '96.bg1.b1', '96.bg2.a1', '96.bg2.a2', '96.bh1.a1', '96.bh1.b1', '96.bh2.a1', '96.bh2.a2'], 'contains': ['384.a1.a1', '384.j1.a1', '384.j1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 64], 'label': '768.87077.192.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '192.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918064
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.j1.a1', '96.l1.a1', '96.s1.a1', '96.s1.b1', '96.x1.a1', '96.bd1.a1', '96.bd1.a2', '96.bi1.a1', '96.bi1.a2', '96.bi1.b1', '96.bi1.b2', '96.bi1.c1', '96.bi1.c2', '96.bi1.d1', '96.bi1.d2'], 'contains': ['384.a1.a1', '384.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 64], 'label': '768.87077.192.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '192.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918065
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.k1.a1', '96.m1.a1', '96.t1.a1', '96.t1.c1', '96.y1.a1', '96.y2.a1', '96.be1.a1', '96.be1.b1', '96.bg1.a1', '96.bg2.a1', '96.bg2.a2', '96.bi1.a1', '96.bi1.a2', '96.bi1.b1', '96.bi1.b2'], 'contains': ['384.a1.a1', '384.m1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 64], 'label': '768.87077.192.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '192.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918066
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1'], 'contains': ['16.cd1.b1', '16.ci1.c1', '16.ci1.d1', '16.cz1.a1', '16.cz1.b1', '16.dg1.c1', '16.dg1.d1', '24.bo1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 16, 390, 92, 448, 256], 'label': '768.87077.8.bo1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '8.bo1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bo1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918067
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.k1.b1', '96.m1.a1', '96.t1.b1', '96.t1.d1', '96.y1.b1', '96.y2.a1', '96.be1.c1', '96.be1.d1', '96.bg1.b1', '96.bg2.a1', '96.bg2.a2', '96.bi1.c1', '96.bi1.c2', '96.bi1.d1', '96.bi1.d2'], 'contains': ['384.a1.a1', '384.m1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [442, 64], 'label': '768.87077.192.k1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '192.k1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.k1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918068
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.l1.a1', '96.p1.a1', '96.t1.a1', '96.t1.d1', '96.z1.a1', '96.z2.a1', '96.be1.a1', '96.be1.c1', '96.bh1.a1', '96.bh2.a1', '96.bh2.a2', '96.bi1.a1', '96.bi1.a2', '96.bi1.c1', '96.bi1.c2'], 'contains': ['384.a1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32], 'label': '768.87077.192.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '192.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918069
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.l1.b1', '96.p1.a1', '96.t1.b1', '96.t1.c1', '96.z1.b1', '96.z2.a1', '96.be1.b1', '96.be1.d1', '96.bh1.b1', '96.bh2.a1', '96.bh2.a2', '96.bi1.b1', '96.bi1.b2', '96.bi1.d1', '96.bi1.d2'], 'contains': ['384.a1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [48], 'label': '768.87077.192.l1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '192.l1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.l1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918070
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.m1.a1', '96.a1.a1', '96.bj1.a1', '96.bk1.a1', '96.bk1.a2', '96.bl1.a1'], 'contains': ['384.b1.a1', '384.d1.a1', '384.d1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 80], 'label': '768.87077.192.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '192.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918071
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.n1.a1', '96.b1.a1', '96.bj1.a1', '96.bm1.a1', '96.bn1.a1', '96.bo1.a1', '96.bp1.a1', '96.bq1.a1', '96.bq2.a1', '96.br1.a1', '96.bs1.a1'], 'contains': ['384.b1.a1', '384.e1.a1', '384.f1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [80, 384], 'label': '768.87077.192.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '192.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918072
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.o1.a1', '96.i1.a1', '96.bk1.a1', '96.bk1.a2', '96.bm1.a1', '96.bt1.a1'], 'contains': ['384.b1.a1', '384.g1.a1', '384.g1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 80], 'label': '768.87077.192.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918073
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.p1.a1', '96.c1.a1', '96.bj1.a1', '96.bt1.a1', '96.bu1.a1'], 'contains': ['384.b1.a1', '384.h1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [394, 80], 'label': '768.87077.192.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '192.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918074
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.q1.a1', '96.j1.a1', '96.bk1.a1', '96.bk1.a2', '96.bn1.a1', '96.bt1.a1', '96.bv1.a1', '96.bv1.b1'], 'contains': ['384.b1.a1', '384.i1.a1', '384.k1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [390, 80], 'label': '768.87077.192.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918075
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.r1.a1', '96.k1.a1', '96.bl1.a1', '96.bo1.a1', '96.bu1.a1', '96.bw1.a1', '96.bw1.a2'], 'contains': ['384.b1.a1', '384.j1.a1', '384.j1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 80], 'label': '768.87077.192.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '192.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918076
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.s1.a1', '96.l1.a1', '96.bl1.a1', '96.bp1.a1', '96.bu1.a1'], 'contains': ['384.b1.a1', '384.l1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 80], 'label': '768.87077.192.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '192.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918077
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1'], 'contains': ['16.h1.a1', '16.cm1.a1', '16.cn1.a1', '16.co1.a1', '16.cs1.b1', '24.bp1.a1'], 'core': '16.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 16, 66, 388, 400], 'label': '768.87077.8.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '8.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918079
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.u1.a1', '96.a1.a1', '96.bx1.a1', '96.by1.a1', '96.bz1.a1', '96.bz1.b1', '96.ca1.a1', '96.ca1.b1', '96.cb1.a1', '96.cb1.b1', '96.cc1.a1', '96.cc1.b1'], 'contains': ['384.c1.a1', '384.d1.a1', '384.d1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 16], 'label': '768.87077.192.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '192.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918080
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.v1.a1', '96.h1.a1', '96.i1.a1', '96.bz1.a1', '96.ca1.a1', '96.cd1.a1', '96.cp1.a1', '96.cq1.a1', '96.cr1.a1', '96.cr1.b1', '96.cs1.a1', '96.cs1.b1'], 'contains': ['384.c1.a1', '384.g1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 16], 'label': '768.87077.192.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '192.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918081
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.v1.b1', '96.h1.b1', '96.i1.a1', '96.bz1.b1', '96.ca1.b1', '96.cd1.a1', '96.cp1.b1', '96.cq1.b1', '96.cr1.c1', '96.cr1.d1', '96.cs1.c1', '96.cs1.d1'], 'contains': ['384.c1.a1', '384.g1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 16], 'label': '768.87077.192.v1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '192.v1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.v1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918082
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.w1.a1', '96.c1.a1', '96.bx1.a1', '96.by1.a1', '96.cp1.a1', '96.cp1.b1', '96.cq1.a1', '96.cq1.b1', '96.ct1.a1', '96.ct1.b1', '96.cu1.a1', '96.cu1.b1'], 'contains': ['384.c1.a1', '384.h1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [394, 16], 'label': '768.87077.192.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '192.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918083
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.x1.a1', '96.d1.a1', '96.j1.a1', '96.bz1.a1', '96.bz1.b1', '96.ci1.a1', '96.cp1.a1', '96.cp1.b1', '96.cv1.a1', '96.cv1.b1', '96.cw1.a1', '96.cw1.a2'], 'contains': ['384.c1.a1', '384.i1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [454, 16], 'label': '768.87077.192.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '192.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918084
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.y1.a1', '96.e1.a1', '96.k1.a1', '96.cb1.a1', '96.cj1.a1', '96.cr1.a1', '96.cr1.c1', '96.ct1.a1', '96.cv1.a1', '96.cx1.a1', '96.cy1.a1'], 'contains': ['384.c1.a1', '384.j1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [388, 16], 'label': '768.87077.192.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '192.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918085
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.y1.b1', '96.e1.b1', '96.k1.a1', '96.cb1.b1', '96.cj1.a1', '96.cr1.b1', '96.cr1.d1', '96.ct1.b1', '96.cv1.b1', '96.cx1.b1', '96.cy1.b1'], 'contains': ['384.c1.a1', '384.j1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [452, 16], 'label': '768.87077.192.y1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '192.y1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.y1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918086
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.z1.a1', '96.f1.a1', '96.j1.a1', '96.ca1.a1', '96.ca1.b1', '96.ci1.a1', '96.cq1.a1', '96.cq1.b1', '96.cx1.a1', '96.cx1.b1', '96.cz1.a1', '96.cz1.a2', '96.da1.a1', '96.da1.b1', '96.da1.c1', '96.da1.d1'], 'contains': ['384.c1.a1', '384.k1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [390, 16], 'label': '768.87077.192.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '192.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918087
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.ba1.a1', '96.l1.a1', '96.cb1.a1', '96.cb1.b1', '96.ce1.a1', '96.ck1.a1', '96.cs1.a1', '96.cs1.b1', '96.cs1.c1', '96.cs1.d1', '96.ct1.a1', '96.ct1.b1', '96.cw1.a1', '96.cw1.a2', '96.cz1.a1', '96.cz1.a2'], 'contains': ['384.c1.a1', '384.l1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 16], 'label': '768.87077.192.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '192.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918088
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1'], 'contains': ['16.h1.b1', '16.cm1.a1', '16.cn1.b1', '16.co1.b1', '16.cs1.a1', '24.bp1.b1'], 'core': '16.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 16, 2, 452, 400], 'label': '768.87077.8.bp1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.bp1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bp1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918089
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bb1.a1', '96.m1.a1', '96.cf1.a1', '96.cl1.a1', '96.cy1.a1', '96.cy1.b1'], 'contains': ['384.c1.a1', '384.m1.a1', '384.m1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 16], 'label': '768.87077.192.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918090
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.m1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bc1.a1', '96.g1.a1', '96.n1.a1', '96.cc1.a1', '96.cm1.a1', '96.cs1.a1', '96.cs1.c1', '96.cu1.a1', '96.cv1.b1', '96.cx1.a1', '96.db1.a1'], 'contains': ['384.c1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2], 'label': '768.87077.192.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '192.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918091
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.m1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bc1.b1', '96.g1.b1', '96.n1.a1', '96.cc1.b1', '96.cm1.a1', '96.cs1.b1', '96.cs1.d1', '96.cu1.b1', '96.cv1.a1', '96.cx1.b1', '96.db1.b1'], 'contains': ['384.c1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [66], 'label': '768.87077.192.bc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '192.bc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918092
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bd1.a1', '96.o1.a1', '96.cc1.a1', '96.cc1.b1', '96.cg1.a1', '96.cn1.a1', '96.cr1.a1', '96.cr1.b1', '96.cr1.c1', '96.cr1.d1', '96.cu1.a1', '96.cu1.b1', '96.cw1.a1', '96.cw1.a2', '96.cz1.a1', '96.cz1.a2'], 'contains': ['384.c1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8], 'label': '768.87077.192.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '192.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918093
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.be1.a1', '96.q1.a1', '96.bj1.a1', '96.bx1.a1', '96.dc1.a1', '96.dd1.a1', '96.de1.a1', '96.de1.b1'], 'contains': ['384.d1.a1', '384.e1.a1', '384.h1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 384], 'label': '768.87077.192.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '192.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918094
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.be1.b1', '96.q1.b1', '96.bj1.a1', '96.bx1.a1', '96.dc1.b1', '96.dd1.b1', '96.de1.c1', '96.de1.d1'], 'contains': ['384.d1.b1', '384.e1.a1', '384.h1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 384], 'label': '768.87077.192.be1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '192.be1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.be1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918095
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bf1.a1', '96.q1.a1', '96.bj1.a1', '96.by1.a1', '96.df1.a1', '96.df1.b1', '96.dg1.a1', '96.dg1.a2'], 'contains': ['384.d1.a1', '384.f1.a1', '384.h1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 448], 'label': '768.87077.192.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '192.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918096
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bf1.b1', '96.q1.b1', '96.bj1.a1', '96.by1.a1', '96.df1.c1', '96.df1.d1', '96.dg1.b1', '96.dg1.b2'], 'contains': ['384.d1.b1', '384.f1.a1', '384.h1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 448], 'label': '768.87077.192.bf1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '192.bf1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bf1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918100
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bg1.c1', '96.r1.b1', '96.bk1.a2', '96.bz1.a1', '96.dc1.b1', '96.df1.c1'], 'contains': ['384.d1.b1', '384.g1.a1', '384.i1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 454], 'label': '768.87077.192.bg1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.bg1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bg1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918101
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bg1.d1', '96.r1.b1', '96.bk1.a1', '96.bz1.b1', '96.dc1.b1', '96.df1.d1'], 'contains': ['384.d1.b1', '384.g1.b1', '384.i1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 70], 'label': '768.87077.192.bg1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.bg1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bg1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918102
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bh1.a1', '96.r1.a1', '96.bk1.a2', '96.ca1.a1', '96.dd1.a1', '96.df1.a1', '96.dh1.a1', '96.dh1.b1'], 'contains': ['384.d1.a1', '384.g1.a1', '384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [12, 6], 'label': '768.87077.192.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918103
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bh1.b1', '96.r1.a1', '96.bk1.a1', '96.ca1.b1', '96.dd1.a1', '96.df1.b1', '96.dh1.c1', '96.dh1.d1'], 'contains': ['384.d1.a1', '384.g1.b1', '384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [396, 390], 'label': '768.87077.192.bh1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.bh1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bh1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918104
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bh1.c1', '96.r1.b1', '96.bk1.a1', '96.ca1.a1', '96.dd1.b1', '96.df1.c1', '96.dh1.e1', '96.dh1.f1'], 'contains': ['384.d1.b1', '384.g1.a1', '384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [28, 6], 'label': '768.87077.192.bh1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.bh1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bh1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918105
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bh1.d1', '96.r1.b1', '96.bk1.a2', '96.ca1.b1', '96.dd1.b1', '96.df1.d1', '96.dh1.g1', '96.dh1.h1'], 'contains': ['384.d1.b1', '384.g1.b1', '384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [412, 390], 'label': '768.87077.192.bh1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '192.bh1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bh1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918106
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bi1.a1', '96.s1.a1', '96.bl1.a1', '96.cb1.a1', '96.de1.a1', '96.dg1.a1', '96.dg1.a2'], 'contains': ['384.d1.a1', '384.j1.a1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 388], 'label': '768.87077.192.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918107
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bi1.b1', '96.s1.a1', '96.bl1.a1', '96.cb1.b1', '96.de1.b1', '96.dg1.a1', '96.dg1.a2'], 'contains': ['384.d1.a1', '384.j1.b1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452], 'label': '768.87077.192.bi1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.bi1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bi1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918108
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bi1.c1', '96.s1.b1', '96.bl1.a1', '96.cb1.a1', '96.de1.c1', '96.dg1.b1', '96.dg1.b2'], 'contains': ['384.d1.b1', '384.j1.a1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 388], 'label': '768.87077.192.bi1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.bi1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bi1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918109
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bi1.d1', '96.s1.b1', '96.bl1.a1', '96.cb1.b1', '96.de1.d1', '96.dg1.b1', '96.dg1.b2'], 'contains': ['384.d1.b1', '384.j1.b1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 452], 'label': '768.87077.192.bi1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.bi1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bi1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918110
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1'], 'contains': ['16.h1.b1', '16.ct1.a1', '24.bq1.b1'], 'core': '16.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 256, 16, 452, 2, 384], 'label': '768.87077.8.bq1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1.a1', 'old_label': '8.bq1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bq1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918111
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bj1.a1', '96.u1.a1', '96.bm1.a1', '96.cd1.a1', '96.dc1.a1', '96.dc1.b1', '96.dd1.a1', '96.dd1.b1'], 'contains': ['384.e1.a1', '384.g1.a1', '384.g1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 384], 'label': '768.87077.192.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '192.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918112
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bk1.a1', '96.d1.a1', '96.v1.a1', '96.bn1.a1', '96.dc1.a1', '96.dc1.b1', '96.di1.a1', '96.di1.b1'], 'contains': ['384.e1.a1', '384.i1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454, 384], 'label': '768.87077.192.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '192.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918113
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bl1.a1', '96.e1.a1', '96.w1.a1', '96.bo1.a1', '96.de1.a1', '96.de1.c1', '96.dj1.a1', '96.dj1.b1'], 'contains': ['384.e1.a1', '384.j1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [388, 384], 'label': '768.87077.192.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '192.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918114
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bl1.b1', '96.e1.b1', '96.w1.a1', '96.bo1.a1', '96.de1.b1', '96.de1.d1', '96.dj1.c1', '96.dj1.d1'], 'contains': ['384.e1.a1', '384.j1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 384], 'label': '768.87077.192.bl1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '192.bl1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bl1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918115
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bm1.a1', '96.f1.a1', '96.v1.a1', '96.bn1.a1', '96.dd1.a1', '96.dd1.b1', '96.dk1.a1', '96.dk1.b1'], 'contains': ['384.e1.a1', '384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [390, 384], 'label': '768.87077.192.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '192.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918116
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bn1.a1', '96.x1.a1', '96.bp1.a1', '96.ce1.a1', '96.de1.a1', '96.de1.b1', '96.de1.c1', '96.de1.d1'], 'contains': ['384.e1.a1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [478, 384], 'label': '768.87077.192.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918117
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bo1.a1', '96.y1.a1', '96.bq2.a1', '96.cf1.a1', '96.di1.a1', '96.dj1.b1', '96.dj1.d1', '96.dk1.a1'], 'contains': ['384.e1.a1', '384.m1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 384], 'label': '768.87077.192.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '192.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918118
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bo1.b1', '96.y1.b1', '96.bq2.a1', '96.cf1.a1', '96.di1.b1', '96.dj1.a1', '96.dj1.c1', '96.dk1.b1'], 'contains': ['384.e1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [442, 384], 'label': '768.87077.192.bo1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '192.bo1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bo1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918119
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bo2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bo2.a1', '96.y2.a1', '96.bq1.a1', '96.cf1.a1', '96.dj1.a1', '96.dj1.b1', '96.dj1.c1', '96.dj1.d1'], 'contains': ['384.e1.a1', '384.m1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 400], 'label': '768.87077.192.bo2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bo2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bo2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918120
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bp1.a1', '96.bb1.a1', '96.bs1.a1', '96.ch1.a1', '96.di1.a1', '96.di1.b1', '96.dk1.a1', '96.dk1.b1'], 'contains': ['384.e1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [40], 'label': '768.87077.192.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.q1.a1', 'old_label': '192.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918121
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.s1.a1', '4.s1.b1'], 'contains': ['16.i1.a1', '16.cn1.a1', '16.co1.a1', '16.cq1.a1', '16.cs1.a1', '24.br1.a1'], 'core': '16.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 16, 2, 388, 400], 'label': '768.87077.8.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '8.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918122
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bq1.a1', '96.h1.a1', '96.u1.a1', '96.bm1.a1', '96.df1.a1', '96.df1.c1', '96.dl1.a1', '96.dl1.b1'], 'contains': ['384.f1.a1', '384.g1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 448], 'label': '768.87077.192.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '192.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918123
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bq1.b1', '96.h1.b1', '96.u1.a1', '96.bm1.a1', '96.df1.b1', '96.df1.d1', '96.dl1.c1', '96.dl1.d1'], 'contains': ['384.f1.a1', '384.g1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 448], 'label': '768.87077.192.bq1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '192.bq1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bq1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918124
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.br1.a1', '96.v1.a1', '96.bn1.a1', '96.ci1.a1', '96.df1.a1', '96.df1.b1', '96.df1.c1', '96.df1.d1'], 'contains': ['384.f1.a1', '384.i1.a1', '384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [454, 448], 'label': '768.87077.192.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '192.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918125
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bs1.a1', '96.w1.a1', '96.bo1.a1', '96.cj1.a1', '96.dg1.a1', '96.dg1.b1', '96.dm1.a1', '96.dm1.b1'], 'contains': ['384.f1.a1', '384.j1.a1', '384.j1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 448], 'label': '768.87077.192.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '192.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918126
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bs1.a2', '96.w1.a1', '96.bo1.a1', '96.cj1.a1', '96.dg1.a2', '96.dg1.b2', '96.dm1.a2', '96.dm1.b2'], 'contains': ['384.f1.a1', '384.j1.a1', '384.j1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 464], 'label': '768.87077.192.bs1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '192.bs1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bs1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918127
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bt1.a1', '96.x1.a1', '96.bp1.a1', '96.ck1.a1', '96.dg1.a1', '96.dg1.a2', '96.dg1.b1', '96.dg1.b2'], 'contains': ['384.f1.a1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [478, 448], 'label': '768.87077.192.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918128
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bu1.a1', '96.y1.a1', '96.bq1.a1', '96.cl1.a1', '96.dl1.a1', '96.dl1.c1', '96.dm1.b1', '96.dm1.b2'], 'contains': ['384.f1.a1', '384.m1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 448], 'label': '768.87077.192.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '192.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918129
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bu1.b1', '96.y1.b1', '96.bq1.a1', '96.cl1.a1', '96.dl1.b1', '96.dl1.d1', '96.dm1.a1', '96.dm1.a2'], 'contains': ['384.f1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [442, 448], 'label': '768.87077.192.bu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '192.bu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918130
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bu2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bu2.a1', '96.y2.a1', '96.bq2.a1', '96.cl1.a1', '96.dm1.a1', '96.dm1.a2', '96.dm1.b1', '96.dm1.b2'], 'contains': ['384.f1.a1', '384.m1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 464], 'label': '768.87077.192.bu2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bu2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bu2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918131
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bv1.a1', '96.ba1.a1', '96.br1.a1', '96.co1.a1', '96.dl1.a1', '96.dl1.b1', '96.dl1.c1', '96.dl1.d1'], 'contains': ['384.f1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [418], 'label': '768.87077.192.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.o1.a1', 'old_label': '192.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918132
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.s1.c1', '4.s1.d1'], 'contains': ['16.i1.b1', '16.cn1.b1', '16.co1.b1', '16.cq1.a1', '16.cs1.b1', '24.br1.b1'], 'core': '16.i1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 16, 66, 452, 400], 'label': '768.87077.8.br1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.br1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.br1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918133
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bw1.a1', '96.bc1.a1', '96.bt1.a1', '96.cp1.a1', '96.dc1.a1', '96.dc1.b1', '96.df1.a1', '96.df1.c1'], 'contains': ['384.g1.a1', '384.h1.a1', '384.i1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 70], 'label': '768.87077.192.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '192.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918134
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bw1.b1', '96.bc1.a1', '96.bt1.a1', '96.cp1.b1', '96.dc1.a1', '96.dc1.b1', '96.df1.b1', '96.df1.d1'], 'contains': ['384.g1.b1', '384.h1.a1', '384.i1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 454], 'label': '768.87077.192.bw1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '192.bw1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bw1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918135
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bx1.a1', '96.bc1.a1', '96.bt1.a1', '96.cq1.a1', '96.dd1.a1', '96.dd1.b1', '96.df1.a1', '96.df1.c1'], 'contains': ['384.g1.a1', '384.h1.a1', '384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [28, 390], 'label': '768.87077.192.bx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '192.bx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918136
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bx1.b1', '96.bc1.a1', '96.bt1.a1', '96.cq1.b1', '96.dd1.a1', '96.dd1.b1', '96.df1.b1', '96.df1.d1'], 'contains': ['384.g1.b1', '384.h1.a1', '384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [412, 6], 'label': '768.87077.192.bx1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '192.bx1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bx1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918137
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.by1.a1', '96.bd1.a1', '96.bu1.a1', '96.ct1.a1', '96.de1.a1', '96.de1.c1', '96.dg1.a2', '96.dg1.b1'], 'contains': ['384.h1.a1', '384.j1.a1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [394, 388], 'label': '768.87077.192.by1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.by1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.by1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918138
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.by1.a2', '96.bd1.a2', '96.bu1.a1', '96.ct1.a1', '96.de1.a1', '96.de1.c1', '96.dg1.a1', '96.dg1.b2'], 'contains': ['384.h1.a1', '384.j1.a1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [410, 388], 'label': '768.87077.192.by1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.by1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.by1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918139
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.by1.b1', '96.bd1.a1', '96.bu1.a1', '96.ct1.b1', '96.de1.b1', '96.de1.d1', '96.dg1.a1', '96.dg1.b2'], 'contains': ['384.h1.a1', '384.j1.b1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [394, 452], 'label': '768.87077.192.by1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.by1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.by1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918140
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.by1.b2', '96.bd1.a2', '96.bu1.a1', '96.ct1.b1', '96.de1.b1', '96.de1.d1', '96.dg1.a2', '96.dg1.b1'], 'contains': ['384.h1.a1', '384.j1.b1', '384.l1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [410, 452], 'label': '768.87077.192.by1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '192.by1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.by1.b2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918141
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bz1.a1', '96.bg1.a1', '96.bw1.a2', '96.cy1.a1', '96.dj1.b1', '96.dm1.b1', '96.dm1.b2'], 'contains': ['384.j1.a1', '384.m1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 404], 'label': '768.87077.192.bz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918142
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bz1.b1', '96.bg1.b1', '96.bw1.a2', '96.cy1.a1', '96.dj1.a1', '96.dm1.a1', '96.dm1.a2'], 'contains': ['384.j1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442, 404], 'label': '768.87077.192.bz1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bz1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918143
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '4.r1.a1', '4.r1.b1'], 'contains': ['16.i1.a1', '16.cr1.a1', '16.cr1.b1', '24.bs1.a1'], 'core': '16.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 16, 384, 388, 256, 390], 'label': '768.87077.8.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918144
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bz1.c1', '96.bg1.a1', '96.bw1.a1', '96.cy1.b1', '96.dj1.d1', '96.dm1.b1', '96.dm1.b2'], 'contains': ['384.j1.b1', '384.m1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 468], 'label': '768.87077.192.bz1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bz1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918145
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bz1.d1', '96.bg1.b1', '96.bw1.a1', '96.cy1.b1', '96.dj1.c1', '96.dm1.a1', '96.dm1.a2'], 'contains': ['384.j1.b1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442, 468], 'label': '768.87077.192.bz1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bz1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918146
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bz2.a1', '96.bg2.a1', '96.bw1.a1', '96.cy1.a1', '96.dj1.a1', '96.dj1.b1', '96.dm1.a1', '96.dm1.b2'], 'contains': ['384.j1.a1', '384.m1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 388], 'label': '768.87077.192.bz2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bz2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918147
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bz2.a2', '96.bg2.a2', '96.bw1.a1', '96.cy1.a1', '96.dj1.a1', '96.dj1.b1', '96.dm1.a2', '96.dm1.b1'], 'contains': ['384.j1.a1', '384.m1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442, 388], 'label': '768.87077.192.bz2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bz2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz2.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918148
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bz2.b1', '96.bg2.a1', '96.bw1.a2', '96.cy1.b1', '96.dj1.c1', '96.dj1.d1', '96.dm1.a2', '96.dm1.b1'], 'contains': ['384.j1.b1', '384.m1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 452], 'label': '768.87077.192.bz2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bz2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz2.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918149
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.bz2.b2', '96.bg2.a2', '96.bw1.a2', '96.cy1.b1', '96.dj1.c1', '96.dj1.d1', '96.dm1.a1', '96.dm1.b2'], 'contains': ['384.j1.b1', '384.m1.a1', '384.m1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442, 452], 'label': '768.87077.192.bz2.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '192.bz2.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz2.b2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918150
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.ca1.a1', '96.bf1.a1', '96.bv1.a1', '96.da1.a1', '96.dh1.a1', '96.dh1.c1', '96.dh1.e1', '96.dh1.g1'], 'contains': ['384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33], 'label': '768.87077.192.ca1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '192.ca1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ca1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918151
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.ca1.b1', '96.bf1.a1', '96.bv1.a1', '96.da1.b1', '96.dh1.b1', '96.dh1.d1', '96.dh1.f1', '96.dh1.h1'], 'contains': ['384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [421], 'label': '768.87077.192.ca1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '192.ca1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ca1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918152
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.ca1.c1', '96.bf1.b1', '96.bv1.b1', '96.da1.c1', '96.dh1.a1', '96.dh1.d1', '96.dh1.e1', '96.dh1.h1'], 'contains': ['384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [41], 'label': '768.87077.192.ca1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '192.ca1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ca1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918153
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '192.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.ca1.d1', '96.bf1.b1', '96.bv1.b1', '96.da1.d1', '96.dh1.b1', '96.dh1.c1', '96.dh1.f1', '96.dh1.g1'], 'contains': ['384.k1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [105], 'label': '768.87077.192.ca1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '192.ca1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ca1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918154
{'ambient': '768.87077', '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': '48.d1.a1', 'complements': ['192.ca1.a1', '192.ca1.b1', '192.ca1.c1', '192.ca1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.h1.a1', '8.i1.a1', '8.m1.a1', '8.q1.a1', '8.x1.a1', '8.bg1.a1', '8.bj1.a1', '8.bj1.b1', '8.bj1.c1', '8.bj1.d1', '12.e1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 64, 16, 32, 256, 452, 384], 'label': '768.87077.4.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.b1.a1', '8.h1.a1', '8.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918155
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '4.r1.c1', '4.r1.d1'], 'contains': ['16.i1.b1', '16.cr1.c1', '16.cr1.d1', '24.bs1.b1'], 'core': '16.i1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41, 16, 400, 452, 256, 6], 'label': '768.87077.8.bs1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bs1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bs1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918156
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '256.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['128.a1.a1', '128.b1.a1', '128.c1.a1', '128.d1.a1', '128.d1.b1', '128.e1.a1', '128.f1.a1', '128.g1.a1', '128.g1.b1', '128.h1.a1', '128.i1.a1', '128.j1.a1', '128.j1.b1', '128.k1.a1', '128.l1.a1', '128.m1.a1', '128.m1.b1'], 'contains': ['768.a1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [256], 'label': '768.87077.256.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '256.a1.a1', 'normal_contained_in': ['128.c1.a1', '128.b1.a1', '128.a1.a1'], 'normal_contains': ['768.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '256.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918157
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.a1.a1', '192.a1.a1', '192.b1.a1', '192.b1.b1', '192.e1.a1', '192.f1.a1', '192.g1.a1', '192.h1.a1', '192.i1.a1', '192.j1.a1', '192.k1.a1', '192.k1.b1', '192.l1.a1', '192.l1.b1'], 'contains': ['768.a1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64], 'label': '768.87077.384.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.a1.a1', 'normal_contained_in': ['128.a1.a1', '192.a1.a1', '192.b1.a1', '192.b1.b1'], 'normal_contains': ['768.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '384.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918158
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.b1.a1', '192.a1.a1', '192.m1.a1', '192.n1.a1', '192.o1.a1', '192.p1.a1', '192.q1.a1', '192.r1.a1', '192.s1.a1', '192.t1.a1'], 'contains': ['768.a1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [80], 'label': '768.87077.384.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.b1.a1', 'normal_contained_in': ['128.b1.a1', '192.a1.a1'], 'normal_contains': ['768.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '384.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918159
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.c1.a1', '192.a1.a1', '192.c1.a1', '192.d1.a1', '192.u1.a1', '192.v1.a1', '192.v1.b1', '192.w1.a1', '192.x1.a1', '192.y1.a1', '192.y1.b1', '192.z1.a1', '192.ba1.a1', '192.bb1.a1', '192.bc1.a1', '192.bc1.b1', '192.bd1.a1'], 'contains': ['768.a1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [16], 'label': '768.87077.384.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.c1.a1', 'normal_contained_in': ['128.c1.a1', '192.a1.a1', '192.d1.a1', '192.c1.a1'], 'normal_contains': ['768.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '384.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918160
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.d1.a1', '192.b1.a1', '192.m1.a1', '192.u1.a1', '192.be1.a1', '192.bf1.a1', '192.bg1.a1', '192.bg1.b1', '192.bh1.a1', '192.bh1.b1', '192.bi1.a1', '192.bi1.b1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10], 'label': '768.87077.384.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '384.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918161
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.d1.b1', '192.b1.b1', '192.m1.a1', '192.u1.a1', '192.be1.b1', '192.bf1.b1', '192.bg1.c1', '192.bg1.d1', '192.bh1.c1', '192.bh1.d1', '192.bi1.c1', '192.bi1.d1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26], 'label': '768.87077.384.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '384.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918162
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.e1.a1', '192.c1.a1', '192.e1.a1', '192.n1.a1', '192.be1.a1', '192.be1.b1', '192.bj1.a1', '192.bk1.a1', '192.bl1.a1', '192.bl1.b1', '192.bm1.a1', '192.bn1.a1', '192.bo1.a1', '192.bo1.b1', '192.bo2.a1', '192.bp1.a1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [384], 'label': '768.87077.384.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '384.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918163
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.f1.a1', '192.d1.a1', '192.e1.a1', '192.n1.a1', '192.bf1.a1', '192.bf1.b1', '192.bq1.a1', '192.bq1.b1', '192.br1.a1', '192.bs1.a1', '192.bs1.a2', '192.bt1.a1', '192.bu1.a1', '192.bu1.b1', '192.bu2.a1', '192.bv1.a1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [448], 'label': '768.87077.384.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '384.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918164
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.g1.a1', '192.f1.a1', '192.o1.a1', '192.v1.a1', '192.bg1.a1', '192.bg1.c1', '192.bh1.a1', '192.bh1.c1', '192.bj1.a1', '192.bq1.a1', '192.bw1.a1', '192.bx1.a1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476], 'label': '768.87077.384.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '384.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918165
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.g1.b1', '192.f1.a1', '192.o1.a1', '192.v1.b1', '192.bg1.b1', '192.bg1.d1', '192.bh1.b1', '192.bh1.d1', '192.bj1.a1', '192.bq1.b1', '192.bw1.b1', '192.bx1.b1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92], 'label': '768.87077.384.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '384.g1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.g1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918166
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '4.s1.a1', '4.s1.b1'], 'contains': ['16.i1.a1', '16.ct1.a1', '24.bt1.a1'], 'core': '16.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 256, 16, 388, 2, 384], 'label': '768.87077.8.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '8.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918167
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.h1.a1', '192.g1.a1', '192.p1.a1', '192.w1.a1', '192.be1.a1', '192.be1.b1', '192.bf1.a1', '192.bf1.b1', '192.bw1.a1', '192.bw1.b1', '192.bx1.a1', '192.bx1.b1', '192.by1.a1', '192.by1.a2', '192.by1.b1', '192.by1.b2'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394], 'label': '768.87077.384.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '384.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918168
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.i1.a1', '192.h1.a1', '192.q1.a1', '192.x1.a1', '192.bg1.a1', '192.bg1.b1', '192.bg1.c1', '192.bg1.d1', '192.bk1.a1', '192.br1.a1', '192.bw1.a1', '192.bw1.b1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454], 'label': '768.87077.384.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '384.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918169
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.j1.a1', '192.i1.a1', '192.r1.a1', '192.y1.a1', '192.bi1.a1', '192.bi1.c1', '192.bl1.a1', '192.bs1.a1', '192.bs1.a2', '192.by1.a1', '192.by1.a2', '192.bz1.a1', '192.bz1.b1', '192.bz2.a1', '192.bz2.a2'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [388], 'label': '768.87077.384.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '384.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918170
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.j1.b1', '192.i1.a1', '192.r1.a1', '192.y1.b1', '192.bi1.b1', '192.bi1.d1', '192.bl1.b1', '192.bs1.a1', '192.bs1.a2', '192.by1.b1', '192.by1.b2', '192.bz1.c1', '192.bz1.d1', '192.bz2.b1', '192.bz2.b2'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452], 'label': '768.87077.384.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '384.j1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.j1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918171
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.k1.a1', '192.h1.a1', '192.q1.a1', '192.z1.a1', '192.bh1.a1', '192.bh1.b1', '192.bh1.c1', '192.bh1.d1', '192.bm1.a1', '192.br1.a1', '192.bx1.a1', '192.bx1.b1', '192.ca1.a1', '192.ca1.b1', '192.ca1.c1', '192.ca1.d1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [390], 'label': '768.87077.384.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '384.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918172
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.l1.a1', '192.j1.a1', '192.s1.a1', '192.ba1.a1', '192.bi1.a1', '192.bi1.b1', '192.bi1.c1', '192.bi1.d1', '192.bn1.a1', '192.bt1.a1', '192.by1.a1', '192.by1.a2', '192.by1.b1', '192.by1.b2'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [478], 'label': '768.87077.384.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '384.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918173
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.m1.a1', '192.k1.a1', '192.t1.a1', '192.bb1.a1', '192.bo1.a1', '192.bo2.a1', '192.bu1.a1', '192.bu2.a1', '192.bz1.a1', '192.bz1.c1', '192.bz2.a1', '192.bz2.a2', '192.bz2.b1', '192.bz2.b2'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426], 'label': '768.87077.384.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '384.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918174
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '384.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.m1.b1', '192.k1.b1', '192.t1.a1', '192.bb1.a1', '192.bo1.b1', '192.bo2.a1', '192.bu1.b1', '192.bu2.a1', '192.bz1.b1', '192.bz1.d1', '192.bz2.a1', '192.bz2.a2', '192.bz2.b1', '192.bz2.b2'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442], 'label': '768.87077.384.m1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '384.m1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.m1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918175
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '768.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['256.a1.a1', '384.a1.a1', '384.b1.a1', '384.c1.a1', '384.d1.a1', '384.d1.b1', '384.e1.a1', '384.f1.a1', '384.g1.a1', '384.g1.b1', '384.h1.a1', '384.i1.a1', '384.j1.a1', '384.j1.b1', '384.k1.a1', '384.l1.a1', '384.m1.a1', '384.m1.b1'], 'contains': [], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '768.87077.768.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.a1.a1', 'normal_contained_in': ['256.a1.a1', '384.c1.a1', '384.b1.a1', '384.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '768.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918176
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.b1', '4.s1.c1', '4.s1.d1'], 'contains': ['16.i1.b1', '16.ct1.b1', '24.bt1.b1'], 'core': '16.i1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 256, 16, 452, 82, 400], 'label': '768.87077.8.bt1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.bt1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bt1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918177
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.q1.a1', '4.r1.a1', '4.r1.c1'], 'contains': ['16.cp1.a1', '16.cr1.a1', '16.cr1.c1', '24.bu1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [485, 16, 400, 8, 256, 6], 'label': '768.87077.8.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918178
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.q1.a1', '4.r1.b1', '4.r1.c1'], 'contains': ['16.cp1.a1', '16.cr1.a1', '16.cr1.d1', '24.bu1.b1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 16, 384, 8, 256, 390], 'label': '768.87077.8.bu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918179
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.q1.a1', '4.r1.a1', '4.r1.d1'], 'contains': ['16.cp1.a1', '16.cr1.b1', '16.cr1.c1', '24.bu1.c1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 16, 384, 8, 256, 390], 'label': '768.87077.8.bu1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bu1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bu1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918180
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.q1.a1', '4.r1.b1', '4.r1.d1'], 'contains': ['16.cp1.a1', '16.cr1.b1', '16.cr1.d1', '24.bu1.d1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [421, 16, 400, 8, 256, 6], 'label': '768.87077.8.bu1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bu1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bu1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918181
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1'], 'contains': ['16.cu1.a1', '16.cw1.a1', '16.da1.a1', '16.db1.a1', '16.dc1.a1', '16.dc1.a2', '24.bv1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 256, 16, 418, 452, 448], 'label': '768.87077.8.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '8.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918182
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1'], 'contains': ['16.cu1.b1', '16.cw1.b1', '16.da1.a1', '16.db1.a1', '16.dc1.a1', '16.dc1.a2', '24.bv1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 256, 16, 418, 452, 448], 'label': '768.87077.8.bv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '8.bv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918183
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.o1.a1'], 'contains': ['16.cv1.a1', '16.dd1.a1', '16.dd1.b1', '24.bw1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 256, 16, 476, 2, 448], 'label': '768.87077.8.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.o1.a1', 'old_label': '8.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918184
{'ambient': '768.87077', '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': '96.b1.a1', 'complements': ['192.ca1.b1', '192.ca1.a1', '192.ca1.c1', '192.ca1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.j1.a1', '8.k1.a1', '8.n1.a1', '8.y1.a1', '12.f1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 16, 400, 418, 256, 452, 64], 'label': '768.87077.4.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.b1.a1', '8.j1.a1', '8.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918185
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.o1.a1'], 'contains': ['16.cv1.b1', '16.dd1.a1', '16.dd1.b1', '24.bw1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 256, 16, 92, 2, 464], 'label': '768.87077.8.bw1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.o1.a1', 'old_label': '8.bw1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bw1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918186
{'ambient': '768.87077', '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': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1', '6.b1.a1', '6.c1.a1'], 'contains': ['24.a1.a1', '24.b1.a1', '24.c1.a1', '24.d1.a1', '24.e1.a1', '24.f1.a1', '24.g1.a1', '24.k1.a1', '24.be1.a1', '24.bk1.a1', '24.bk1.b1', '24.bl1.a1', '24.bl1.b1', '24.bn1.a1', '24.bn1.b1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 2, 452, 384, 64], 'label': '768.87077.12.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.b1.a1', '24.a1.a1', '24.c1.a1', '24.f1.a1', '24.d1.a1', '24.g1.a1', '24.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918187
{'ambient': '768.87077', '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': '32.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.a1.a1', '6.d1.a1', '6.e1.a1'], 'contains': ['24.f1.a1', '24.h1.c1', '24.h1.d1', '24.r1.a1', '24.bs1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 452, 64], 'label': '768.87077.12.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.g1.a1', '6.a1.a1'], 'normal_contains': ['24.f1.a1', '24.h1.d1', '24.h1.c1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918188
{'ambient': '768.87077', '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': '32.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '6.a1.a1', '6.d1.b1', '6.e1.b1'], 'contains': ['24.f1.a1', '24.h1.a1', '24.h1.b1', '24.r1.b1', '24.bs1.b1'], 'core': '12.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41, 452, 64], 'label': '768.87077.12.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.b1', 'normal_contained_in': ['4.g1.b1', '6.a1.a1'], 'normal_contains': ['24.f1.a1', '24.h1.a1', '24.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918189
{'ambient': '768.87077', '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': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1', '6.b1.a1'], 'contains': ['24.a1.a1', '24.i1.a1', '24.j1.a1', '24.o1.a1', '24.p1.a1', '24.q1.a1', '24.s1.a1', '24.bi1.a1', '24.bi1.b1', '24.bi1.c1', '24.bi1.d1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [476, 32, 454, 16], 'label': '768.87077.12.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918190
{'ambient': '768.87077', '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': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '24.l1.a1', '24.r1.a1', '24.r1.b1', '24.bf1.a1', '24.bm1.a1', '24.bm1.b1', '24.bm1.c1', '24.bm1.d1', '24.bo1.a1', '24.bo1.b1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 476, 64, 384], 'label': '768.87077.12.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918191
{'ambient': '768.87077', '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': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.b1.a1'], 'contains': ['24.b1.a1', '24.i1.a1', '24.m1.a1', '24.t1.a1', '24.u1.a1', '24.x1.a1', '24.bg1.a1', '24.bj1.a1', '24.bj1.b1', '24.bj1.c1', '24.bj1.d1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [10, 32, 452, 16, 384], 'label': '768.87077.12.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918192
{'ambient': '768.87077', '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': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.b1.a1'], 'contains': ['24.b1.a1', '24.j1.a1', '24.v1.a1', '24.w1.a1', '24.y1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [10, 418, 452], 'label': '768.87077.12.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918193
{'ambient': '768.87077', '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': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.l1.a1', '6.b1.a1'], 'contains': ['24.c1.a1', '24.i1.a1', '24.j1.a1', '24.z1.a1', '24.ba1.a1', '24.bb1.a1', '24.bd1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [8, 32, 2], 'label': '768.87077.12.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918194
{'ambient': '768.87077', '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': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.m1.a1', '6.c1.a1'], 'contains': ['24.c1.a1', '24.n1.a1', '24.bc1.a1', '24.bc1.b1', '24.bh1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 8, 384], 'label': '768.87077.12.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '12.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918195
{'ambient': '768.87077', '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': '96.b1.a1', 'complements': ['192.ca1.b1', '192.ca1.a1', '192.ca1.c1', '192.ca1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.d1.a1', '8.h1.a1', '8.j1.a1', '8.s1.a1', '8.ba1.a1', '8.bv1.a1', '8.bv1.b1', '12.i1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 16, 448, 418, 256, 452, 384], 'label': '768.87077.4.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.d1.a1', '8.h1.a1', '8.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918196
{'ambient': '768.87077', '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': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.b1.a1'], 'contains': ['24.d1.a1', '24.o1.a1', '24.t1.a1', '24.v1.a1', '24.ba1.a1', '24.bv1.a1', '24.bv1.b1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [8, 418, 452, 384], 'label': '768.87077.12.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918197
{'ambient': '768.87077', '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': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.b1.a1'], 'contains': ['24.d1.a1', '24.p1.a1', '24.u1.a1', '24.w1.a1', '24.bd1.a1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [8, 32, 452], 'label': '768.87077.12.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918198
{'ambient': '768.87077', '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': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.n1.a1', '6.b1.a1'], 'contains': ['24.e1.a1', '24.o1.a1', '24.p1.a1', '24.x1.a1', '24.y1.a1', '24.z1.a1', '24.bb1.a1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [476, 32, 2], 'label': '768.87077.12.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918199
{'ambient': '768.87077', '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': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.o1.a1', '6.c1.a1'], 'contains': ['24.e1.a1', '24.bc1.a1', '24.bc1.b1', '24.bw1.a1', '24.bw1.b1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 476, 384], 'label': '768.87077.12.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '12.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918200
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.b1.a1', '6.d1.a1', '6.d1.b1'], 'contains': ['24.f1.a1', '24.q1.a1', '24.t1.a1', '24.w1.a1', '24.z1.a1', '24.bp1.a1', '24.bp1.b1', '24.br1.a1', '24.br1.b1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [40, 2, 452, 64], 'label': '768.87077.12.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918201
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '6.b1.a1', '6.e1.a1', '6.e1.b1'], 'contains': ['24.f1.a1', '24.s1.a1', '24.u1.a1', '24.v1.a1', '24.bb1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [32, 2, 452], 'label': '768.87077.12.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918202
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '6.c1.a1', '6.d1.b1', '6.e1.a1'], 'contains': ['24.f1.a1', '24.bc1.a1', '24.bq1.b1', '24.bt1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 452, 64], 'label': '768.87077.12.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918203
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.b1', '6.c1.a1', '6.d1.a1', '6.e1.b1'], 'contains': ['24.f1.a1', '24.bc1.b1', '24.bq1.a1', '24.bt1.b1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [9, 452, 64], 'label': '768.87077.12.o1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.o1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918204
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.p1.a1', '6.b1.a1'], 'contains': ['24.g1.a1', '24.q1.a1', '24.s1.a1', '24.x1.a1', '24.y1.a1', '24.ba1.a1', '24.bd1.a1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [8, 32, 454], 'label': '768.87077.12.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918205
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.q1.a1', '6.a1.a1'], 'contains': ['24.g1.a1', '24.r1.a1', '24.r1.b1', '24.bu1.a1', '24.bu1.b1', '24.bu1.c1', '24.bu1.d1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 8, 64], 'label': '768.87077.12.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918206
{'ambient': '768.87077', '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': '96.b1.a1', 'complements': ['192.ca1.a1', '192.ca1.b1', '192.ca1.c1', '192.ca1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.d1.a1', '8.i1.a1', '8.k1.a1', '8.t1.a1', '8.bd1.a1', '12.j1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 16, 384, 32, 256, 452, 448], 'label': '768.87077.4.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.d1.a1', '8.i1.a1', '8.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918207
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.r1.a1', '6.a1.a1'], 'contains': ['24.h1.a1', '24.bl1.a1', '24.bm1.a1', '24.bm1.c1', '24.bs1.a1', '24.bu1.a1', '24.bu1.c1'], 'core': '24.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 8, 388], 'label': '768.87077.12.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918208
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.r1.b1', '6.a1.a1'], 'contains': ['24.h1.b1', '24.bl1.a1', '24.bm1.b1', '24.bm1.d1', '24.bs1.a1', '24.bu1.b1', '24.bu1.d1'], 'core': '24.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 8, 388], 'label': '768.87077.12.r1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.r1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.r1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918209
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.r1.c1', '6.a1.a1'], 'contains': ['24.h1.c1', '24.bl1.b1', '24.bm1.a1', '24.bm1.b1', '24.bs1.b1', '24.bu1.a1', '24.bu1.b1'], 'core': '24.h1.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 8, 452], 'label': '768.87077.12.r1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.r1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.r1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918210
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.r1.d1', '6.a1.a1'], 'contains': ['24.h1.d1', '24.bl1.b1', '24.bm1.c1', '24.bm1.d1', '24.bs1.b1', '24.bu1.c1', '24.bu1.d1'], 'core': '24.h1.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 8, 452], 'label': '768.87077.12.r1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.r1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.r1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918211
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.s1.a1', '6.d1.b1'], 'contains': ['24.h1.a1', '24.br1.a1', '24.bt1.a1'], 'core': '24.h1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 40], 'label': '768.87077.12.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '12.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918212
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.s1.b1', '6.d1.b1'], 'contains': ['24.h1.b1', '24.br1.a1', '24.bt1.a1'], 'core': '24.h1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [65, 40], 'label': '768.87077.12.s1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '12.s1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.s1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918213
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.s1.c1', '6.d1.a1'], 'contains': ['24.h1.c1', '24.br1.b1', '24.bt1.b1'], 'core': '24.h1.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [33, 40], 'label': '768.87077.12.s1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '12.s1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.s1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918214
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '12.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.s1.d1', '6.d1.a1'], 'contains': ['24.h1.d1', '24.br1.b1', '24.bt1.b1'], 'core': '24.h1.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [97, 40], 'label': '768.87077.12.s1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '12.s1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.s1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918215
{'ambient': '768.87077', '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': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.m1.a1', '8.n1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.q1.a1', '32.q1.b1', '32.bj1.a1', '32.bx1.a1', '32.by1.a1', '48.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 256, 64, 384, 16], 'label': '768.87077.16.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.b1.a1', '8.a1.a1', '8.c1.a1'], 'normal_contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '48.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918216
{'ambient': '768.87077', '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': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.d1.a1', '8.e1.a1', '8.s1.a1', '8.t1.a1'], 'contains': ['32.b1.a1', '32.h1.a1', '32.h1.b1', '32.i1.a1', '32.u1.a1', '32.bm1.a1', '32.cd1.a1', '48.b1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [476, 256, 64, 384, 16], 'label': '768.87077.16.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1', '8.d1.a1', '8.e1.a1'], 'normal_contains': ['32.b1.a1', '32.h1.b1', '32.h1.a1', '48.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918233
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '8.m1.a1', '8.t1.a1', '8.w1.a1', '8.x1.a1', '8.bb1.a1', '8.bd1.a1'], 'contains': ['32.b1.a1', '32.p1.a1', '32.z1.a1', '32.z1.b1', '32.z2.a1', '48.o1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [32, 256, 384, 16, 64], 'label': '768.87077.16.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918217
{'ambient': '768.87077', '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': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.a1', '2.d1.b1'], 'contains': ['8.f1.a1', '8.h1.a1', '8.k1.a1', '8.u1.a1', '8.z1.a1', '8.bp1.a1', '8.bp1.b1', '8.br1.a1', '8.br1.b1', '12.m1.a1'], 'core': '4.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40, 16, 400, 2, 256, 452, 64], 'label': '768.87077.4.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': ['2.a1.a1', '2.d1.b1', '2.d1.a1'], 'normal_contains': ['8.f1.a1', '8.h1.a1', '8.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918218
{'ambient': '768.87077', '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': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.f1.a1', '8.g1.a1', '8.u1.a1', '8.v1.a1', '8.v1.b1', '8.w1.a1'], 'contains': ['32.b1.a1', '32.d1.a1', '32.f1.a1', '32.j1.a1', '32.v1.a1', '32.bn1.a1', '32.ci1.a1', '48.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [454, 256, 64, 384, 16], 'label': '768.87077.16.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.a1.a1', '8.f1.a1', '8.g1.a1'], 'normal_contains': ['32.b1.a1', '32.d1.a1', '32.f1.a1', '48.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918219
{'ambient': '768.87077', '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': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.d1.a1', '8.f1.a1', '8.h1.a1', '8.i1.a1', '8.j1.a1', '8.k1.a1'], 'contains': ['32.b1.a1', '32.e1.a1', '32.e1.b1', '32.k1.a1', '32.w1.a1', '32.bo1.a1', '32.cj1.a1', '48.d1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [452, 256, 64, 384, 16], 'label': '768.87077.16.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': ['8.b1.a1', '8.f1.a1', '8.d1.a1', '8.h1.a1', '8.i1.a1', '8.j1.a1', '8.k1.a1'], 'normal_contains': ['32.b1.a1', '32.e1.b1', '32.e1.a1', '48.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918220
{'ambient': '768.87077', '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': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.e1.a1', '8.g1.a1', '8.x1.a1', '8.y1.a1'], 'contains': ['32.b1.a1', '32.l1.a1', '32.x1.a1', '32.bp1.a1', '32.ce1.a1', '32.ck1.a1', '48.e1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [478, 256, 64, 384, 16], 'label': '768.87077.16.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': ['8.b1.a1', '8.g1.a1', '8.e1.a1'], 'normal_contains': ['32.b1.a1', '48.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918221
{'ambient': '768.87077', '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': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.e1.a1', '8.f1.a1', '8.z1.a1', '8.bb1.a1', '8.bc1.a1', '8.bc1.b1'], 'contains': ['32.b1.a1', '32.g1.a1', '32.g1.b1', '32.n1.a1', '32.cm1.a1', '48.f1.a1'], 'core': '16.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 16, 64, 384, 256], 'label': '768.87077.16.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': ['8.c1.a1', '8.f1.a1', '8.e1.a1'], 'normal_contains': ['32.b1.a1', '32.g1.a1', '32.g1.b1', '48.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918222
{'ambient': '768.87077', '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': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.d1.a1', '8.g1.a1', '8.ba1.a1', '8.bd1.a1'], 'contains': ['32.b1.a1', '32.o1.a1', '32.cg1.a1', '32.cn1.a1', '48.g1.a1'], 'core': '16.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 16, 64, 384, 256], 'label': '768.87077.16.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': ['8.c1.a1', '8.d1.a1', '8.g1.a1'], 'normal_contains': ['32.b1.a1', '48.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918223
{'ambient': '768.87077', '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': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.bk1.a1', '8.bp1.a1', '8.bq1.a1'], 'contains': ['32.d1.a1', '32.e1.a1', '32.g1.b1', '32.cv1.a1', '48.h1.a1'], 'core': '16.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [66, 16, 388, 384, 256], 'label': '768.87077.16.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1.a1', 'normal_contained_in': ['8.f1.a1'], 'normal_contains': ['32.e1.a1', '32.d1.a1', '32.g1.b1', '48.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918224
{'ambient': '768.87077', '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': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.bk1.b1', '8.bp1.b1', '8.bq1.b1'], 'contains': ['32.d1.a1', '32.e1.b1', '32.g1.a1', '32.cv1.b1', '48.h1.b1'], 'core': '16.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 16, 452, 384, 256], 'label': '768.87077.16.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1.b1', 'normal_contained_in': ['8.f1.a1'], 'normal_contains': ['32.e1.b1', '32.d1.a1', '32.g1.a1', '48.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918225
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.l1.a1', '8.l1.b1', '8.bl1.a1', '8.br1.a1', '8.bs1.a1', '8.bt1.a1'], 'contains': ['32.e1.a1', '32.f1.a1', '32.g1.a1', '32.cx1.a1', '48.i1.a1'], 'core': '16.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 16, 388, 384, 256], 'label': '768.87077.16.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.i1.a1', 'normal_contained_in': ['8.f1.a1', '8.l1.a1', '8.l1.b1'], 'normal_contains': ['32.e1.a1', '32.f1.a1', '32.g1.a1', '48.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918226
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.l1.c1', '8.l1.d1', '8.bl1.b1', '8.br1.b1', '8.bs1.b1', '8.bt1.b1'], 'contains': ['32.e1.b1', '32.f1.a1', '32.g1.b1', '32.cx1.b1', '48.i1.b1'], 'core': '16.i1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [66, 16, 452, 384, 256], 'label': '768.87077.16.i1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.i1.b1', 'normal_contained_in': ['8.f1.a1', '8.l1.d1', '8.l1.c1'], 'normal_contains': ['32.e1.b1', '32.f1.a1', '32.g1.b1', '48.i1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.i1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918227
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.o1.a1', '8.p1.a1'], 'contains': ['32.a1.a1', '32.i1.a1', '32.j1.a1', '32.r1.a1', '32.r1.b1', '32.bk1.a1', '32.bk1.a2', '32.bz1.a1', '32.bz1.b1', '32.ca1.a1', '32.ca1.b1', '48.j1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 256, 454, 64, 16], 'label': '768.87077.16.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918228
{'ambient': '768.87077', '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': '32.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.f1.a1', '8.l1.c1', '8.l1.d1', '8.v1.a1', '8.bs1.a1', '12.b1.a1'], 'core': '4.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 384, 390, 452, 16, 64, 256], 'label': '768.87077.4.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': ['2.b1.a1', '2.d1.a1', '2.e1.a1'], 'normal_contains': ['8.f1.a1', '8.l1.d1', '8.l1.c1', '12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918229
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.o1.a1', '8.q1.a1'], 'contains': ['32.a1.a1', '32.k1.a1', '32.l1.a1', '32.s1.a1', '32.s1.b1', '32.bl1.a1', '32.cb1.a1', '32.cb1.b1', '48.k1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 256, 452, 64, 16], 'label': '768.87077.16.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918230
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.q1.a1'], 'contains': ['32.a1.a1', '32.m1.a1', '32.p1.a1', '32.t1.a1', '32.t1.b1', '32.t1.c1', '32.t1.d1', '48.l1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 32, 16, 64], 'label': '768.87077.16.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918231
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.o1.a1', '8.r1.a1'], 'contains': ['32.a1.a1', '32.n1.a1', '32.o1.a1', '32.cc1.a1', '32.cc1.b1', '48.m1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 2, 64, 256], 'label': '768.87077.16.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '16.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918232
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.m1.a1', '8.s1.a1', '8.u1.a1', '8.x1.a1', '8.z1.a1', '8.ba1.a1'], 'contains': ['32.b1.a1', '32.m1.a1', '32.y1.a1', '32.y1.b1', '32.y2.a1', '32.bq1.a1', '32.bq2.a1', '32.cf1.a1', '32.cl1.a1', '48.n1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [426, 256, 64, 384, 16], 'label': '768.87077.16.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918234
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '8.n1.a1', '8.s1.a1', '8.w1.a1', '8.y1.a1', '8.ba1.a1', '8.bb1.a1'], 'contains': ['32.b1.a1', '32.ba1.a1', '32.br1.a1', '32.co1.a1', '48.p1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [418, 256, 384, 16, 464], 'label': '768.87077.16.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918235
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '8.n1.a1', '8.t1.a1', '8.u1.a1', '8.y1.a1', '8.z1.a1', '8.bd1.a1'], 'contains': ['32.b1.a1', '32.bb1.a1', '32.bs1.a1', '32.ch1.a1', '48.q1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 64, 16, 400], 'label': '768.87077.16.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918236
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.be1.a1', '8.bf1.a1'], 'contains': ['32.c1.a1', '32.i1.a1', '32.j1.a1', '32.bc1.a1', '32.bt1.a1', '32.cp1.a1', '32.cp1.b1', '32.cq1.a1', '32.cq1.b1', '48.r1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 256, 454, 64, 16], 'label': '768.87077.16.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918237
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.o1.a1', '8.be1.a1'], 'contains': ['32.i1.a1', '32.k1.a1', '32.o1.a1', '32.cr1.a1', '32.cr1.b1', '32.cr1.c1', '32.cr1.d1', '48.s1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 452, 64, 256], 'label': '768.87077.16.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918238
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.o1.a1', '8.be1.a1'], 'contains': ['32.i1.a1', '32.l1.a1', '32.n1.a1', '32.cs1.a1', '32.cs1.b1', '32.cs1.c1', '32.cs1.d1', '48.t1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 16, 2, 64, 256], 'label': '768.87077.16.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918239
{'ambient': '768.87077', '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': '32.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.b1', '2.e1.b1'], 'contains': ['8.f1.a1', '8.l1.a1', '8.l1.b1', '8.v1.b1', '8.bs1.b1', '12.b1.b1'], 'core': '4.g1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41, 400, 6, 452, 16, 64, 256], 'label': '768.87077.4.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.b1', 'normal_contained_in': ['2.b1.a1', '2.d1.b1', '2.e1.b1'], 'normal_contains': ['8.f1.a1', '8.l1.a1', '8.l1.b1', '12.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.g1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918240
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.be1.a1', '8.bg1.a1'], 'contains': ['32.c1.a1', '32.k1.a1', '32.l1.a1', '32.bd1.a1', '32.bd1.a2', '32.bu1.a1', '32.ct1.a1', '32.ct1.b1', '48.u1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [394, 256, 452, 64, 16], 'label': '768.87077.16.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918241
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.bg1.a1'], 'contains': ['32.c1.a1', '32.m1.a1', '32.p1.a1', '32.be1.a1', '32.be1.b1', '32.be1.c1', '32.be1.d1', '48.v1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 256, 32, 16, 64], 'label': '768.87077.16.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918242
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.be1.a1', '8.bh1.a1'], 'contains': ['32.c1.a1', '32.n1.a1', '32.o1.a1', '32.cu1.a1', '32.cu1.b1', '48.w1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [392, 16, 2, 64, 256], 'label': '768.87077.16.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '16.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918243
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.o1.a1', '8.be1.a1'], 'contains': ['32.j1.a1', '32.k1.a1', '32.n1.a1', '32.cv1.a1', '32.cv1.b1', '32.cx1.a1', '32.cx1.b1', '48.x1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 16, 452, 64, 256], 'label': '768.87077.16.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918244
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '8.o1.a1', '8.be1.a1'], 'contains': ['32.j1.a1', '32.l1.a1', '32.o1.a1', '32.cw1.a1', '32.cw1.a2', '32.cz1.a1', '32.cz1.a2', '48.y1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 454, 64, 256], 'label': '768.87077.16.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918245
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1', '8.v1.a1', '8.bf1.a1'], 'contains': ['32.j1.a1', '32.bf1.a1', '32.bv1.a1', '32.da1.a1', '32.da1.b1', '48.z1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 390, 64, 16, 256], 'label': '768.87077.16.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918246
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1', '8.v1.b1', '8.bf1.a1'], 'contains': ['32.j1.a1', '32.bf1.b1', '32.bv1.b1', '32.da1.c1', '32.da1.d1', '48.z1.b1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [41, 6, 64, 16, 256], 'label': '768.87077.16.z1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.z1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.z1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918247
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.q1.a1', '8.bg1.a1'], 'contains': ['32.k1.a1', '32.m1.a1', '32.bg1.a1', '32.bg1.b1', '32.bg2.a1', '32.bg2.a2', '32.bw1.a1', '32.bw1.a2', '32.cy1.a1', '32.cy1.b1', '48.ba1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 256, 452, 64, 16], 'label': '768.87077.16.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918248
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '8.q1.a1', '8.bg1.a1'], 'contains': ['32.k1.a1', '32.p1.a1', '32.bh1.a1', '32.bh1.b1', '32.bh2.a1', '32.bh2.a2', '48.bb1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [32, 256, 452, 16, 64], 'label': '768.87077.16.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918249
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.x1.a1', '8.bg1.a1'], 'contains': ['32.l1.a1', '32.m1.a1', '32.p1.a1', '32.bi1.a1', '32.bi1.b1', '32.bi1.c1', '32.bi1.d1', '48.bc1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [94, 256, 32, 16, 64], 'label': '768.87077.16.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918250
{'ambient': '768.87077', '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': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.e1.a1', '2.e1.b1'], 'contains': ['8.f1.a1', '8.i1.a1', '8.j1.a1', '8.w1.a1', '8.bb1.a1', '12.n1.a1'], 'core': '4.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32, 16, 384, 2, 256, 452, 64], 'label': '768.87077.4.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': ['2.a1.a1', '2.e1.b1', '2.e1.a1'], 'normal_contains': ['8.f1.a1', '8.i1.a1', '8.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918251
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.x1.a1', '8.bg1.a1'], 'contains': ['32.l1.a1', '32.m1.a1', '32.p1.a1', '32.bi1.a2', '32.bi1.b2', '32.bi1.c2', '32.bi1.d2', '48.bc1.a2'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 256, 32, 16, 64], 'label': '768.87077.16.bc1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bc1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bc1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918252
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.r1.a1', '8.bc1.a1', '8.bh1.a1'], 'contains': ['32.n1.a1', '32.db1.a1', '48.bd1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 256, 64, 2, 16], 'label': '768.87077.16.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '16.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918253
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.r1.a1', '8.bc1.b1', '8.bh1.a1'], 'contains': ['32.n1.a1', '32.db1.b1', '48.bd1.b1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 256, 64, 82, 16], 'label': '768.87077.16.bd1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '16.bd1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bd1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918254
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.bi1.a1', '8.bi1.b1'], 'contains': ['32.q1.a1', '32.r1.a1', '32.u1.a1', '32.v1.a1', '32.bc1.a1', '32.dc1.a1', '32.dd1.a1', '32.df1.a1', '32.df1.b1', '48.be1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 256, 454, 64, 384], 'label': '768.87077.16.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918255
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.bi1.c1', '8.bi1.d1'], 'contains': ['32.q1.b1', '32.r1.b1', '32.u1.a1', '32.v1.a1', '32.bc1.a1', '32.dc1.b1', '32.dd1.b1', '32.df1.c1', '32.df1.d1', '48.be1.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 256, 454, 64, 384], 'label': '768.87077.16.be1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.be1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.be1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918256
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.bj1.a1', '8.bj1.b1'], 'contains': ['32.q1.a1', '32.s1.a1', '32.w1.a1', '32.x1.a1', '32.bd1.a1', '32.bd1.a2', '32.de1.a1', '32.de1.b1', '32.dg1.a1', '32.dg1.a2', '48.bf1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 452, 64, 384], 'label': '768.87077.16.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918257
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.bj1.c1', '8.bj1.d1'], 'contains': ['32.q1.b1', '32.s1.b1', '32.w1.a1', '32.x1.a1', '32.bd1.a1', '32.bd1.a2', '32.de1.c1', '32.de1.d1', '32.dg1.b1', '32.dg1.b2', '48.bf1.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 452, 64, 384], 'label': '768.87077.16.bf1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bf1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bf1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918258
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.bi1.a1', '8.bj1.b1'], 'contains': ['32.q1.a1', '32.t1.a1', '32.y1.a1', '32.z1.a1', '32.be1.a1', '48.bg1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 256, 32, 384, 64], 'label': '768.87077.16.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918259
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.bi1.b1', '8.bj1.a1'], 'contains': ['32.q1.a1', '32.t1.b1', '32.y1.b1', '32.z1.b1', '32.be1.d1', '48.bg1.b1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 256, 48, 384, 64], 'label': '768.87077.16.bg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.bg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918260
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.bi1.c1', '8.bj1.d1'], 'contains': ['32.q1.b1', '32.t1.c1', '32.y1.a1', '32.z1.b1', '32.be1.b1', '48.bg1.c1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26, 256, 48, 384, 64], 'label': '768.87077.16.bg1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.bg1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bg1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918261
{'ambient': '768.87077', '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': '192.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.b1', '2.e1.a1'], 'contains': ['8.f1.a1', '8.bc1.a1', '8.bq1.b1', '8.bt1.a1', '12.o1.a1'], 'core': '4.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 16, 384, 452, 256, 64, 2], 'label': '768.87077.4.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.b1', '2.e1.a1'], 'normal_contains': ['8.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918262
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.bi1.d1', '8.bj1.c1'], 'contains': ['32.q1.b1', '32.t1.d1', '32.y1.b1', '32.z1.a1', '32.be1.c1', '48.bg1.d1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26, 256, 32, 384, 64], 'label': '768.87077.16.bg1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.bg1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bg1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918263
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.bj1.a1', '8.bj1.b1'], 'contains': ['32.q1.a1', '32.t1.a1', '32.t1.b1', '32.y2.a1', '32.z2.a1', '32.be1.b1', '32.be1.c1', '48.bg2.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 32, 400, 64], 'label': '768.87077.16.bg2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bg2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bg2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918264
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '8.bj1.c1', '8.bj1.d1'], 'contains': ['32.q1.b1', '32.t1.c1', '32.t1.d1', '32.y2.a1', '32.z2.a1', '32.be1.a1', '32.be1.d1', '48.bg2.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 32, 400, 64], 'label': '768.87077.16.bg2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bg2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bg2.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918265
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1.a1', '8.bi1.a1', '8.bi1.b1'], 'contains': ['32.q1.a1', '32.ba1.a1', '32.bb1.a1', '48.bh1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 418, 64, 400], 'label': '768.87077.16.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918266
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1.a1', '8.bi1.c1', '8.bi1.d1'], 'contains': ['32.q1.b1', '32.ba1.a1', '32.bb1.a1', '48.bh1.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 418, 64, 400], 'label': '768.87077.16.bh1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bh1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bh1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918267
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1'], 'contains': ['32.r1.a1', '32.bf1.a1', '32.bf1.b1', '32.dh1.a1', '32.dh1.b1', '32.dh1.c1', '32.dh1.d1', '48.bi1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 390, 460, 64, 256], 'label': '768.87077.16.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '16.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918268
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1'], 'contains': ['32.r1.b1', '32.bf1.a1', '32.bf1.b1', '32.dh1.e1', '32.dh1.f1', '32.dh1.g1', '32.dh1.h1', '48.bi1.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 390, 476, 64, 256], 'label': '768.87077.16.bi1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '16.bi1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bi1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918269
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.bj1.b1'], 'contains': ['32.s1.a1', '32.t1.a1', '32.bg1.a1', '32.bh1.a1', '32.bi1.a1', '32.bi1.a2', '48.bj1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 32, 452, 64], 'label': '768.87077.16.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918270
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.bj1.a1'], 'contains': ['32.s1.a1', '32.t1.b1', '32.bg1.b1', '32.bh1.b1', '32.bi1.d1', '32.bi1.d2', '48.bj1.b1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 48, 452, 64], 'label': '768.87077.16.bj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918271
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.bj1.d1'], 'contains': ['32.s1.b1', '32.t1.c1', '32.bg1.a1', '32.bh1.b1', '32.bi1.b1', '32.bi1.b2', '48.bj1.c1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 48, 452, 64], 'label': '768.87077.16.bj1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bj1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918272
{'ambient': '768.87077', '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': '96.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.h1.a1', '4.j1.a1', '4.l1.a1', '4.n1.a1', '4.p1.a1', '6.b1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 448, 384, 32, 452, 256, 16, 2], 'label': '768.87077.2.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.f1.a1', '4.h1.a1', '4.d1.a1', '4.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918273
{'ambient': '768.87077', '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': '192.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.a1', '2.e1.b1'], 'contains': ['8.f1.a1', '8.bc1.b1', '8.bq1.a1', '8.bt1.b1', '12.o1.b1'], 'core': '4.i1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 16, 400, 452, 256, 64, 82], 'label': '768.87077.4.i1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': ['2.c1.a1', '2.d1.a1', '2.e1.b1'], 'normal_contains': ['8.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.i1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918274
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.bj1.c1'], 'contains': ['32.s1.b1', '32.t1.d1', '32.bg1.b1', '32.bh1.a1', '32.bi1.c1', '32.bi1.c2', '48.bj1.d1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 32, 452, 64], 'label': '768.87077.16.bj1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bj1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918275
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.bj1.a1', '8.bj1.b1'], 'contains': ['32.s1.a1', '32.t1.a1', '32.t1.b1', '32.bg2.a1', '32.bh2.a1', '32.bi1.b1', '32.bi1.c2', '48.bj2.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 32, 468, 64], 'label': '768.87077.16.bj2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bj2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918276
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.bj1.a1', '8.bj1.b1'], 'contains': ['32.s1.a1', '32.t1.a1', '32.t1.b1', '32.bg2.a2', '32.bh2.a2', '32.bi1.b2', '32.bi1.c1', '48.bj2.a2'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 48, 468, 64], 'label': '768.87077.16.bj2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bj2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj2.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918277
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.bj1.c1', '8.bj1.d1'], 'contains': ['32.s1.b1', '32.t1.c1', '32.t1.d1', '32.bg2.a1', '32.bh2.a2', '32.bi1.a1', '32.bi1.d2', '48.bj2.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 48, 468, 64], 'label': '768.87077.16.bj2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bj2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj2.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918278
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '8.bj1.c1', '8.bj1.d1'], 'contains': ['32.s1.b1', '32.t1.c1', '32.t1.d1', '32.bg2.a2', '32.bh2.a1', '32.bi1.a2', '32.bi1.d1', '48.bj2.b2'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 32, 468, 64], 'label': '768.87077.16.bj2.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bj2.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj2.b2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918279
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1.a1', '8.bi1.a1', '8.bi1.c1'], 'contains': ['32.u1.a1', '32.y1.a1', '32.ba1.a1', '32.dl1.a1', '32.dl1.c1', '48.bk1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 256, 418, 400, 464], 'label': '768.87077.16.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918280
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1.a1', '8.bi1.b1', '8.bi1.d1'], 'contains': ['32.u1.a1', '32.y1.b1', '32.ba1.a1', '32.dl1.b1', '32.dl1.d1', '48.bk1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 256, 418, 400, 464], 'label': '768.87077.16.bk1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bk1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bk1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918281
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.t1.a1', '8.bi1.a1', '8.bi1.d1'], 'contains': ['32.u1.a1', '32.z1.a1', '32.bb1.a1', '48.bl1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 256, 32, 448, 384], 'label': '768.87077.16.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918282
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.t1.a1', '8.bi1.b1', '8.bi1.c1'], 'contains': ['32.u1.a1', '32.z1.b1', '32.bb1.a1', '48.bl1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 256, 48, 448, 384], 'label': '768.87077.16.bl1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bl1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bl1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918283
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.u1.a1', '8.bi1.a1', '8.bi1.c1'], 'contains': ['32.v1.a1', '32.y1.a1', '32.bb1.a1', '32.di1.a1', '32.dk1.a1', '48.bm1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [56, 256, 454, 64, 400], 'label': '768.87077.16.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918284
{'ambient': '768.87077', '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': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.m1.a1', '8.n1.a1', '8.s1.a1', '8.t1.a1', '8.u1.a1', '8.w1.a1', '8.bi1.a1', '8.bi1.b1', '8.bi1.c1', '8.bi1.d1', '12.c1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 384, 448, 32, 256, 454, 16], 'label': '768.87077.4.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918285
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.u1.a1', '8.bi1.b1', '8.bi1.d1'], 'contains': ['32.v1.a1', '32.y1.b1', '32.bb1.a1', '32.di1.b1', '32.dk1.b1', '48.bm1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40, 256, 454, 64, 400], 'label': '768.87077.16.bm1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bm1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bm1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918286
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.w1.a1', '8.bi1.a1', '8.bi1.d1'], 'contains': ['32.v1.a1', '32.z1.a1', '32.ba1.a1', '48.bn1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [32, 256, 454, 64, 384], 'label': '768.87077.16.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918287
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.w1.a1', '8.bi1.b1', '8.bi1.c1'], 'contains': ['32.v1.a1', '32.z1.b1', '32.ba1.a1', '48.bn1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [48, 256, 454, 64, 384], 'label': '768.87077.16.bn1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '16.bn1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bn1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918288
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.bj1.a1', '8.bj1.c1'], 'contains': ['32.w1.a1', '32.y1.b1', '32.y2.a1', '32.bg1.b1', '32.bg2.a1', '32.bg2.a2', '32.dj1.a1', '32.dj1.c1', '32.dm1.a1', '32.dm1.a2', '48.bo1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [442, 256, 452, 64, 384], 'label': '768.87077.16.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918289
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.bj1.b1', '8.bj1.d1'], 'contains': ['32.w1.a1', '32.y1.a1', '32.y2.a1', '32.bg1.a1', '32.bg2.a1', '32.bg2.a2', '32.dj1.b1', '32.dj1.d1', '32.dm1.b1', '32.dm1.b2', '48.bo1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 256, 452, 64, 384], 'label': '768.87077.16.bo1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bo1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bo1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918290
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '8.bj1.a1', '8.bj1.d1'], 'contains': ['32.w1.a1', '32.z1.b1', '32.z2.a1', '32.bh1.b1', '32.bh2.a1', '32.bh2.a2', '48.bp1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [48, 256, 452, 384, 64], 'label': '768.87077.16.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918291
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '8.bj1.b1', '8.bj1.c1'], 'contains': ['32.w1.a1', '32.z1.a1', '32.z2.a1', '32.bh1.a1', '32.bh2.a1', '32.bh2.a2', '48.bp1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [32, 256, 452, 384, 64], 'label': '768.87077.16.bp1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bp1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bp1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918292
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.x1.a1', '8.bj1.b1', '8.bj1.c1'], 'contains': ['32.x1.a1', '32.y2.a1', '32.z1.a1', '32.bi1.a1', '32.bi1.a2', '32.bi1.c1', '32.bi1.c2', '48.bq1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 256, 32, 384, 64], 'label': '768.87077.16.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918293
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.x1.a1', '8.bj1.a1', '8.bj1.d1'], 'contains': ['32.x1.a1', '32.y2.a1', '32.z1.b1', '32.bi1.b1', '32.bi1.b2', '32.bi1.d1', '32.bi1.d2', '48.bq1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 256, 48, 384, 64], 'label': '768.87077.16.bq1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bq1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bq1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918450
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1'], 'contains': ['8.l1.d1', '8.br1.b1', '8.bt1.b1', '12.s1.d1'], 'core': '8.l1.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 16, 400, 40, 256, 390, 68], 'label': '768.87077.4.s1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '4.s1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.s1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918294
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.x1.a1', '8.bj1.b1', '8.bj1.d1'], 'contains': ['32.x1.a1', '32.y1.a1', '32.z2.a1', '32.bi1.a1', '32.bi1.a2', '32.bi1.b1', '32.bi1.b2', '48.bq2.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 256, 32, 400, 64], 'label': '768.87077.16.bq2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bq2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bq2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918295
{'ambient': '768.87077', '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': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.a1.a1', '8.p1.a1', '8.v1.a1', '8.v1.b1', '8.bf1.a1', '8.bm1.a1', '8.bm1.b1', '8.bm1.c1', '8.bm1.d1', '8.bo1.a1', '8.bo1.b1', '12.d1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 390, 256, 476, 16, 64, 384], 'label': '768.87077.4.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918296
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.x1.a1', '8.bj1.a1', '8.bj1.c1'], 'contains': ['32.x1.a1', '32.y1.b1', '32.z2.a1', '32.bi1.c1', '32.bi1.c2', '32.bi1.d1', '32.bi1.d2', '48.bq2.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [462, 256, 32, 400, 64], 'label': '768.87077.16.bq2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.bq2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bq2.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918297
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '8.bj1.b1', '8.bj1.c1'], 'contains': ['32.bd1.a1', '32.be1.a1', '32.be1.c1', '32.bg2.a1', '32.bh1.a1', '32.bi1.a2', '32.bi1.c1', '48.br1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 256, 32, 452, 64], 'label': '768.87077.16.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918298
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '8.bj1.b1', '8.bj1.c1'], 'contains': ['32.bd1.a2', '32.be1.a1', '32.be1.c1', '32.bg2.a2', '32.bh1.a1', '32.bi1.a1', '32.bi1.c2', '48.br1.a2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [410, 256, 32, 452, 64], 'label': '768.87077.16.br1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.br1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918299
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '8.bj1.a1', '8.bj1.d1'], 'contains': ['32.bd1.a1', '32.be1.b1', '32.be1.d1', '32.bg2.a2', '32.bh1.b1', '32.bi1.b1', '32.bi1.d2', '48.br1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 256, 48, 452, 64], 'label': '768.87077.16.br1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.br1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918300
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '8.bj1.a1', '8.bj1.d1'], 'contains': ['32.bd1.a2', '32.be1.b1', '32.be1.d1', '32.bg2.a1', '32.bh1.b1', '32.bi1.b2', '32.bi1.d1', '48.br1.b2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [410, 256, 48, 452, 64], 'label': '768.87077.16.br1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.br1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br1.b2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918301
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '8.bj1.b1', '8.bj1.d1'], 'contains': ['32.bd1.a1', '32.be1.a1', '32.be1.b1', '32.bg1.a1', '32.bh2.a1', '32.bi1.a1', '32.bi1.b2', '48.br2.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 256, 32, 468, 64], 'label': '768.87077.16.br2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.br2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918302
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '8.bj1.b1', '8.bj1.d1'], 'contains': ['32.bd1.a2', '32.be1.a1', '32.be1.b1', '32.bg1.a1', '32.bh2.a2', '32.bi1.a2', '32.bi1.b1', '48.br2.a2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [410, 256, 48, 468, 64], 'label': '768.87077.16.br2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.br2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br2.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918303
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '8.bj1.a1', '8.bj1.c1'], 'contains': ['32.bd1.a1', '32.be1.c1', '32.be1.d1', '32.bg1.b1', '32.bh2.a2', '32.bi1.c2', '32.bi1.d1', '48.br2.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 256, 48, 468, 64], 'label': '768.87077.16.br2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.br2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br2.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918304
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '8.bj1.a1', '8.bj1.c1'], 'contains': ['32.bd1.a2', '32.be1.c1', '32.be1.d1', '32.bg1.b1', '32.bh2.a1', '32.bi1.c1', '32.bi1.d2', '48.br2.b2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [410, 256, 32, 468, 64], 'label': '768.87077.16.br2.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '16.br2.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br2.b2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918305
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['32.bj1.a1', '32.bk1.a1', '32.bk1.a2', '32.bm1.a1', '32.bn1.a1', '32.bt1.a1', '32.dc1.a1', '32.dc1.b1', '32.dd1.a1', '32.dd1.b1', '32.df1.a1', '32.df1.b1', '32.df1.c1', '32.df1.d1', '48.bs1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 256, 454, 80, 384], 'label': '768.87077.16.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '16.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918306
{'ambient': '768.87077', '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': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.m1.a1', '8.n1.a1', '8.z1.a1', '8.ba1.a1', '8.bb1.a1', '8.bd1.a1', '12.g1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 384, 32, 256, 2, 448], 'label': '768.87077.4.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918307
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1'], 'contains': ['32.bj1.a1', '32.bl1.a1', '32.bo1.a1', '32.bp1.a1', '32.bu1.a1', '32.de1.a1', '32.de1.b1', '32.de1.c1', '32.de1.d1', '32.dg1.a1', '32.dg1.a2', '32.dg1.b1', '32.dg1.b2', '48.bt1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 256, 452, 80, 384], 'label': '768.87077.16.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '16.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918308
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1'], 'contains': ['32.bk1.a1', '32.bv1.a1', '32.bv1.b1', '32.dh1.c1', '32.dh1.d1', '32.dh1.e1', '32.dh1.f1', '48.bu1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 390, 476, 80, 256], 'label': '768.87077.16.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '16.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918309
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1'], 'contains': ['32.bk1.a2', '32.bv1.a1', '32.bv1.b1', '32.dh1.a1', '32.dh1.b1', '32.dh1.g1', '32.dh1.h1', '48.bu1.a2'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 390, 460, 80, 256], 'label': '768.87077.16.bu1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '16.bu1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bu1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918310
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1.a1'], 'contains': ['32.bm1.a1', '32.bq1.a1', '32.br1.a1', '32.dl1.a1', '32.dl1.b1', '32.dl1.c1', '32.dl1.d1', '48.bv1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 256, 418, 384, 464], 'label': '768.87077.16.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.s1.a1', 'old_label': '16.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918311
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.u1.a1'], 'contains': ['32.bn1.a1', '32.bq2.a1', '32.bs1.a1', '32.di1.a1', '32.di1.b1', '32.dk1.a1', '32.dk1.b1', '48.bw1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40, 256, 454, 80, 400], 'label': '768.87077.16.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.u1.a1', 'old_label': '16.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918312
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1'], 'contains': ['32.bo1.a1', '32.bq1.a1', '32.bq2.a1', '32.bw1.a1', '32.bw1.a2', '32.dj1.a1', '32.dj1.b1', '32.dj1.c1', '32.dj1.d1', '32.dm1.a1', '32.dm1.a2', '32.dm1.b1', '32.dm1.b2', '48.bx1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 256, 452, 80, 384], 'label': '768.87077.16.bx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '16.bx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918313
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.y1.a1'], 'contains': ['32.bp1.a1', '32.br1.a1', '32.bs1.a1', '48.by1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [478, 256, 418, 80, 384], 'label': '768.87077.16.by1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.y1.a1', 'old_label': '16.by1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.by1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918314
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.bk1.a1', '8.bk1.b1'], 'contains': ['32.d1.a1', '32.bx1.a1', '32.bz1.a1', '32.bz1.b1', '32.cd1.a1', '32.cp1.a1', '32.cp1.b1', '32.dc1.a1', '32.dc1.b1', '48.bz1.a1'], 'core': '32.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 256, 454, 384, 16], 'label': '768.87077.16.bz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.bz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918315
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.bl1.a1', '8.bl1.b1', '8.bm1.a1', '8.bm1.b1', '8.bm1.c1', '8.bm1.d1'], 'contains': ['32.f1.a1', '32.bx1.a1', '32.ca1.a1', '32.ca1.b1', '32.cd1.a1', '32.cq1.a1', '32.cq1.b1', '32.dd1.a1', '32.dd1.b1', '48.ca1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [412, 256, 390, 384, 16], 'label': '768.87077.16.ca1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.ca1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ca1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918316
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.bk1.a1', '8.bl1.a1'], 'contains': ['32.e1.a1', '32.bx1.a1', '32.cb1.a1', '32.ce1.a1', '32.ct1.a1', '32.de1.a1', '32.de1.c1', '48.cb1.a1'], 'core': '32.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 256, 388, 384, 16], 'label': '768.87077.16.cb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918317
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.c1.a1', '8.r1.a1', '8.bc1.a1', '8.bc1.b1', '8.bh1.a1', '12.h1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 16, 64, 8, 256, 384, 2], 'label': '768.87077.4.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '4.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918318
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.bk1.b1', '8.bl1.b1'], 'contains': ['32.e1.b1', '32.bx1.a1', '32.cb1.b1', '32.ce1.a1', '32.ct1.b1', '32.de1.b1', '32.de1.d1', '48.cb1.b1'], 'core': '32.e1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 256, 452, 384, 16], 'label': '768.87077.16.cb1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cb1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cb1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918319
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.bk1.b1', '8.bl1.a1'], 'contains': ['32.g1.a1', '32.bx1.a1', '32.cc1.a1', '32.cg1.a1', '32.cu1.a1', '48.cc1.a1'], 'core': '32.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 2, 384, 256], 'label': '768.87077.16.cc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918320
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.bk1.a1', '8.bl1.b1'], 'contains': ['32.g1.b1', '32.bx1.a1', '32.cc1.b1', '32.cg1.a1', '32.cu1.b1', '48.cc1.b1'], 'core': '32.g1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 66, 384, 256], 'label': '768.87077.16.cc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918321
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.bn1.a1', '8.bo1.a1'], 'contains': ['32.h1.a1', '32.by1.a1', '32.bz1.a1', '32.ca1.a1', '32.ci1.a1', '32.cp1.a1', '32.cq1.a1', '32.df1.a1', '32.df1.c1', '48.cd1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 256, 454, 448, 16], 'label': '768.87077.16.cd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918322
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.bn1.b1', '8.bo1.b1'], 'contains': ['32.h1.b1', '32.by1.a1', '32.bz1.b1', '32.ca1.b1', '32.ci1.a1', '32.cp1.b1', '32.cq1.b1', '32.df1.b1', '32.df1.d1', '48.cd1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 256, 454, 448, 16], 'label': '768.87077.16.cd1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cd1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cd1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918323
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.bn1.a1', '8.bn1.b1'], 'contains': ['32.by1.a1', '32.cb1.a1', '32.cb1.b1', '32.cj1.a1', '32.ck1.a1', '32.ct1.a1', '32.ct1.b1', '32.dg1.a1', '32.dg1.a2', '32.dg1.b1', '32.dg1.b2', '48.ce1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 452, 448, 16], 'label': '768.87077.16.ce1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.ce1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ce1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918324
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.bn1.a1', '8.bn1.b1'], 'contains': ['32.by1.a1', '32.cc1.a1', '32.cc1.b1', '32.cm1.a1', '32.cn1.a1', '32.cu1.a1', '32.cu1.b1', '48.cf1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 2, 448, 256], 'label': '768.87077.16.cf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.cf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918325
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '8.bk1.a1', '8.bn1.a1'], 'contains': ['32.bz1.a1', '32.cb1.a1', '32.cc1.b1', '32.cr1.a1', '32.cs1.b1', '32.cv1.a1', '32.cw1.a1', '48.cg1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 70, 388, 256], 'label': '768.87077.16.cg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.cg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918326
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '8.bk1.b1', '8.bn1.a1'], 'contains': ['32.bz1.a1', '32.cb1.b1', '32.cc1.a1', '32.cr1.b1', '32.cs1.a1', '32.cv1.b1', '32.cw1.a2', '48.cg1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 454, 452, 256], 'label': '768.87077.16.cg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.cg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918327
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '8.bk1.a1', '8.bn1.b1'], 'contains': ['32.bz1.b1', '32.cb1.a1', '32.cc1.b1', '32.cr1.c1', '32.cs1.d1', '32.cv1.a1', '32.cw1.a2', '48.cg1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 454, 388, 256], 'label': '768.87077.16.cg1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.cg1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cg1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918328
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.e1.a1', '8.s1.a1', '8.t1.a1', '8.x1.a1', '8.y1.a1', '8.z1.a1', '8.bb1.a1', '12.k1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 16, 384, 32, 256, 2, 448], 'label': '768.87077.4.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918329
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '8.bk1.b1', '8.bn1.b1'], 'contains': ['32.bz1.b1', '32.cb1.b1', '32.cc1.a1', '32.cr1.d1', '32.cs1.c1', '32.cv1.b1', '32.cw1.a1', '48.cg1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 70, 452, 256], 'label': '768.87077.16.cg1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.cg1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cg1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918330
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '8.bl1.a1', '8.bn1.a1'], 'contains': ['32.ca1.a1', '32.cb1.a1', '32.cc1.a1', '32.cr1.a1', '32.cs1.a1', '32.cx1.a1', '32.cz1.a1', '48.ch1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 6, 388, 256], 'label': '768.87077.16.ch1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.ch1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ch1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918331
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '8.bl1.b1', '8.bn1.a1'], 'contains': ['32.ca1.a1', '32.cb1.b1', '32.cc1.b1', '32.cr1.b1', '32.cs1.b1', '32.cx1.b1', '32.cz1.a2', '48.ch1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 390, 452, 256], 'label': '768.87077.16.ch1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.ch1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ch1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918332
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '8.bl1.a1', '8.bn1.b1'], 'contains': ['32.ca1.b1', '32.cb1.a1', '32.cc1.a1', '32.cr1.c1', '32.cs1.c1', '32.cx1.a1', '32.cz1.a2', '48.ch1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 390, 388, 256], 'label': '768.87077.16.ch1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.ch1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ch1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918333
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '8.bl1.b1', '8.bn1.b1'], 'contains': ['32.ca1.b1', '32.cb1.b1', '32.cc1.b1', '32.cr1.d1', '32.cs1.d1', '32.cx1.b1', '32.cz1.a1', '48.ch1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 6, 452, 256], 'label': '768.87077.16.ch1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.ch1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ch1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918334
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1', '8.bm1.a1', '8.bo1.a1'], 'contains': ['32.ca1.a1', '32.da1.a1', '32.da1.c1', '32.dh1.a1', '32.dh1.e1', '48.ci1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [485, 6, 28, 16, 256], 'label': '768.87077.16.ci1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.ci1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ci1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918335
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1', '8.bm1.d1', '8.bo1.a1'], 'contains': ['32.ca1.a1', '32.da1.b1', '32.da1.d1', '32.dh1.b1', '32.dh1.f1', '48.ci1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [421, 6, 28, 16, 256], 'label': '768.87077.16.ci1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.ci1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ci1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918336
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1', '8.bm1.b1', '8.bo1.b1'], 'contains': ['32.ca1.b1', '32.da1.a1', '32.da1.d1', '32.dh1.c1', '32.dh1.g1', '48.ci1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 390, 412, 16, 256], 'label': '768.87077.16.ci1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.ci1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ci1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918337
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1', '8.bm1.c1', '8.bo1.b1'], 'contains': ['32.ca1.b1', '32.da1.b1', '32.da1.c1', '32.dh1.d1', '32.dh1.h1', '48.ci1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [97, 390, 412, 16, 256], 'label': '768.87077.16.ci1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.ci1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ci1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918338
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.bk1.a1', '8.bl1.a1'], 'contains': ['32.e1.a1', '32.cd1.a1', '32.cg1.a1', '32.cr1.a1', '32.cr1.c1', '48.cj1.a1'], 'core': '32.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 388, 384, 256], 'label': '768.87077.16.cj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918339
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1'], 'contains': ['8.e1.a1', '8.bc1.a1', '8.bc1.b1', '8.bw1.a1', '8.bw1.b1', '12.l1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 16, 448, 476, 256, 384, 2], 'label': '768.87077.4.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '4.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918340
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.bk1.b1', '8.bl1.b1'], 'contains': ['32.e1.b1', '32.cd1.a1', '32.cg1.a1', '32.cr1.b1', '32.cr1.d1', '48.cj1.b1'], 'core': '32.e1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 452, 384, 256], 'label': '768.87077.16.cj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918341
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.bk1.b1', '8.bl1.a1'], 'contains': ['32.g1.a1', '32.cd1.a1', '32.ce1.a1', '32.cs1.a1', '32.cs1.c1', '48.ck1.a1'], 'core': '32.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 16, 2, 384, 256], 'label': '768.87077.16.ck1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.ck1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ck1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918342
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.bk1.a1', '8.bl1.b1'], 'contains': ['32.g1.b1', '32.cd1.a1', '32.ce1.a1', '32.cs1.b1', '32.cs1.d1', '48.ck1.b1'], 'core': '32.g1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 16, 66, 384, 256], 'label': '768.87077.16.ck1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.ck1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ck1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918343
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '8.bk1.a1', '8.bk1.b1'], 'contains': ['32.d1.a1', '32.ce1.a1', '32.cg1.a1', '32.cw1.a1', '32.cw1.a2', '48.cl1.a1'], 'core': '32.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 454, 384, 256], 'label': '768.87077.16.cl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918344
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.u1.a1', '8.bp1.a1', '8.bp1.b1'], 'contains': ['32.d1.a1', '32.cf1.a1', '32.ch1.a1', '32.di1.a1', '32.di1.b1', '48.cm1.a1'], 'core': '32.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40, 256, 454, 16, 400], 'label': '768.87077.16.cm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '16.cm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918345
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.bp1.a1', '8.br1.a1'], 'contains': ['32.e1.a1', '32.cf1.a1', '32.cy1.a1', '32.dj1.a1', '32.dj1.b1', '48.cn1.a1'], 'core': '32.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [426, 256, 388, 384, 16], 'label': '768.87077.16.cn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '16.cn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918346
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.bp1.b1', '8.br1.b1'], 'contains': ['32.e1.b1', '32.cf1.a1', '32.cy1.b1', '32.dj1.c1', '32.dj1.d1', '48.cn1.b1'], 'core': '32.e1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [426, 256, 452, 384, 16], 'label': '768.87077.16.cn1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '16.cn1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cn1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918347
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '8.bp1.a1', '8.br1.a1'], 'contains': ['32.e1.a1', '32.ch1.a1', '48.co1.a1'], 'core': '32.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 388, 400, 16], 'label': '768.87077.16.co1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '16.co1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.co1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918348
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '8.bp1.b1', '8.br1.b1'], 'contains': ['32.e1.b1', '32.ch1.a1', '48.co1.b1'], 'core': '32.e1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 452, 400, 16], 'label': '768.87077.16.co1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '16.co1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.co1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918349
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '8.bl1.a1', '8.bl1.b1', '8.bu1.a1', '8.bu1.b1', '8.bu1.c1', '8.bu1.d1'], 'contains': ['32.f1.a1', '32.ce1.a1', '32.cg1.a1', '32.cz1.a1', '32.cz1.a2', '48.cp1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 390, 384, 256], 'label': '768.87077.16.cp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918350
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.g1.a1', '8.u1.a1', '8.w1.a1', '8.x1.a1', '8.y1.a1', '8.ba1.a1', '8.bd1.a1', '12.p1.a1'], 'core': '8.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 384, 32, 256, 454, 448], 'label': '768.87077.4.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918351
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.u1.a1', '8.br1.a1', '8.br1.b1'], 'contains': ['32.f1.a1', '32.cf1.a1', '32.ch1.a1', '32.dk1.a1', '32.dk1.b1', '48.cq1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40, 256, 390, 16, 400], 'label': '768.87077.16.cq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '16.cq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918352
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.c1', '8.v1.a1', '8.bm1.a1', '8.bm1.b1', '8.bs1.a1', '8.bu1.a1', '8.bu1.b1'], 'contains': ['32.f1.a1', '32.da1.a1', '48.cr1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 16, 384, 256, 390], 'label': '768.87077.16.cr1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cr1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cr1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918353
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.d1', '8.v1.a1', '8.bm1.c1', '8.bm1.d1', '8.bs1.a1', '8.bu1.c1', '8.bu1.d1'], 'contains': ['32.f1.a1', '32.da1.b1', '48.cr1.b1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [421, 16, 384, 256, 6], 'label': '768.87077.16.cr1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cr1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cr1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918354
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '8.v1.b1', '8.bm1.a1', '8.bm1.c1', '8.bs1.b1', '8.bu1.a1', '8.bu1.c1'], 'contains': ['32.f1.a1', '32.da1.c1', '48.cr1.c1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41, 16, 384, 256, 6], 'label': '768.87077.16.cr1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cr1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cr1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918355
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.b1', '8.v1.b1', '8.bm1.b1', '8.bm1.d1', '8.bs1.b1', '8.bu1.b1', '8.bu1.d1'], 'contains': ['32.f1.a1', '32.da1.d1', '48.cr1.d1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [105, 16, 384, 256, 6], 'label': '768.87077.16.cr1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.cr1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cr1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918356
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.z1.a1', '8.bp1.b1', '8.br1.a1'], 'contains': ['32.g1.a1', '32.cf1.a1', '32.ch1.a1', '48.cs1.a1'], 'core': '32.g1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40, 256, 2, 400, 16], 'label': '768.87077.16.cs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '16.cs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918357
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.z1.a1', '8.bp1.a1', '8.br1.b1'], 'contains': ['32.g1.b1', '32.cf1.a1', '32.ch1.a1', '48.cs1.b1'], 'core': '32.g1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40, 256, 66, 400, 16], 'label': '768.87077.16.cs1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '16.cs1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cs1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918358
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bc1.a1', '8.bq1.b1', '8.bt1.a1'], 'contains': ['32.g1.a1', '32.db1.a1', '48.ct1.a1'], 'core': '32.g1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 256, 384, 2, 16], 'label': '768.87077.16.ct1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.a1', 'old_label': '16.ct1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ct1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918359
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bc1.b1', '8.bq1.a1', '8.bt1.b1'], 'contains': ['32.g1.b1', '32.db1.b1', '48.ct1.b1'], 'core': '32.g1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 256, 384, 82, 16], 'label': '768.87077.16.ct1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.b1', 'old_label': '16.ct1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ct1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918360
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.bn1.a1', '8.bv1.a1'], 'contains': ['32.h1.a1', '32.cj1.a1', '32.cn1.a1', '32.cr1.a1', '32.cr1.b1', '48.cu1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 452, 448, 256], 'label': '768.87077.16.cu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.cu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918361
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.g1.a1', '8.v1.a1', '8.v1.b1', '8.bu1.a1', '8.bu1.b1', '8.bu1.c1', '8.bu1.d1', '12.q1.a1'], 'core': '8.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 384, 390, 8, 16, 64, 256], 'label': '768.87077.4.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918362
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.bn1.b1', '8.bv1.b1'], 'contains': ['32.h1.b1', '32.cj1.a1', '32.cn1.a1', '32.cr1.c1', '32.cr1.d1', '48.cu1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [392, 16, 452, 448, 256], 'label': '768.87077.16.cu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.cu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918363
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.bn1.a1', '8.bw1.a1'], 'contains': ['32.h1.a1', '32.ck1.a1', '32.cm1.a1', '32.cs1.a1', '32.cs1.b1', '48.cv1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 16, 2, 448, 256], 'label': '768.87077.16.cv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '16.cv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918364
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.bn1.b1', '8.bw1.b1'], 'contains': ['32.h1.b1', '32.ck1.a1', '32.cm1.a1', '32.cs1.c1', '32.cs1.d1', '48.cv1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 16, 2, 448, 256], 'label': '768.87077.16.cv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '16.cv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918365
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1.a1', '8.bv1.a1'], 'contains': ['32.h1.a1', '32.cl1.a1', '32.co1.a1', '32.dl1.a1', '32.dl1.b1', '48.cw1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 256, 418, 16, 464], 'label': '768.87077.16.cw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '16.cw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918366
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1.a1', '8.bv1.b1'], 'contains': ['32.h1.b1', '32.cl1.a1', '32.co1.a1', '32.dl1.c1', '32.dl1.d1', '48.cw1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 256, 418, 16, 464], 'label': '768.87077.16.cw1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '16.cw1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cw1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918367
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.bn1.a1', '8.bn1.b1'], 'contains': ['32.ci1.a1', '32.cj1.a1', '32.cm1.a1', '32.cv1.a1', '32.cv1.b1', '32.cx1.a1', '32.cx1.b1', '48.cx1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 16, 452, 448, 256], 'label': '768.87077.16.cx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.cx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918368
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '8.bn1.a1', '8.bn1.b1'], 'contains': ['32.ci1.a1', '32.ck1.a1', '32.cn1.a1', '32.cw1.a1', '32.cw1.a2', '32.cz1.a1', '32.cz1.a2', '48.cy1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 454, 448, 256], 'label': '768.87077.16.cy1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.cy1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cy1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918369
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.v1.a1', '8.bo1.a1', '8.bo1.b1'], 'contains': ['32.ci1.a1', '32.da1.a1', '32.da1.b1', '48.cz1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 16, 448, 256, 390], 'label': '768.87077.16.cz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.cz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918370
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.v1.b1', '8.bo1.a1', '8.bo1.b1'], 'contains': ['32.ci1.a1', '32.da1.c1', '32.da1.d1', '48.cz1.b1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [41, 16, 448, 256, 6], 'label': '768.87077.16.cz1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.cz1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cz1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918371
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.bv1.a1', '8.bv1.b1'], 'contains': ['32.cj1.a1', '32.cl1.a1', '32.cy1.a1', '32.cy1.b1', '32.dm1.a1', '32.dm1.a2', '32.dm1.b1', '32.dm1.b2', '48.da1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 256, 452, 448, 16], 'label': '768.87077.16.da1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '16.da1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.da1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918372
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.l1.a1', '8.bl1.a1', '8.bm1.a1', '8.bm1.c1', '8.bs1.a1', '8.bu1.a1', '8.bu1.c1', '12.r1.a1'], 'core': '8.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 384, 390, 8, 16, 388, 256], 'label': '768.87077.4.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918373
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '8.bv1.a1', '8.bv1.b1'], 'contains': ['32.cj1.a1', '32.co1.a1', '48.db1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [418, 256, 452, 464, 16], 'label': '768.87077.16.db1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '16.db1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.db1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918374
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.ba1.a1', '8.bv1.a1', '8.bv1.b1'], 'contains': ['32.cl1.a1', '32.cn1.a1', '32.co1.a1', '48.dc1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 256, 418, 448, 16], 'label': '768.87077.16.dc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '16.dc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918375
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.ba1.a1', '8.bv1.a1', '8.bv1.b1'], 'contains': ['32.cl1.a1', '32.cn1.a1', '32.co1.a1', '48.dc1.a2'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 256, 418, 448, 16], 'label': '768.87077.16.dc1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '16.dc1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dc1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918376
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bc1.a1', '8.bw1.a1', '8.bw1.b1'], 'contains': ['32.cm1.a1', '32.db1.a1', '48.dd1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 256, 448, 2, 16], 'label': '768.87077.16.dd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.o1.a1', 'old_label': '16.dd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918377
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bc1.b1', '8.bw1.a1', '8.bw1.b1'], 'contains': ['32.cm1.a1', '32.db1.b1', '48.dd1.b1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [9, 256, 448, 82, 16], 'label': '768.87077.16.dd1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.o1.a1', 'old_label': '16.dd1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dd1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918378
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '8.bk1.a1', '8.bn1.a1'], 'contains': ['32.cp1.a1', '32.cr1.a1', '32.cs1.b1', '32.ct1.a1', '32.cu1.b1', '32.cv1.a1', '32.cw1.a2', '48.de1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 454, 388, 256], 'label': '768.87077.16.de1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.de1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.de1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918379
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '8.bk1.b1', '8.bn1.a1'], 'contains': ['32.cp1.a1', '32.cr1.b1', '32.cs1.a1', '32.ct1.b1', '32.cu1.a1', '32.cv1.b1', '32.cw1.a1', '48.de1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 70, 452, 256], 'label': '768.87077.16.de1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.de1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.de1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918380
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '8.bk1.a1', '8.bn1.b1'], 'contains': ['32.cp1.b1', '32.cr1.c1', '32.cs1.d1', '32.ct1.a1', '32.cu1.b1', '32.cv1.a1', '32.cw1.a1', '48.de1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 70, 388, 256], 'label': '768.87077.16.de1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.de1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.de1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918381
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '8.bk1.b1', '8.bn1.b1'], 'contains': ['32.cp1.b1', '32.cr1.d1', '32.cs1.c1', '32.ct1.b1', '32.cu1.a1', '32.cv1.b1', '32.cw1.a2', '48.de1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 454, 452, 256], 'label': '768.87077.16.de1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.de1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.de1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918382
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '8.bl1.a1', '8.bn1.a1'], 'contains': ['32.cq1.a1', '32.cr1.a1', '32.cs1.a1', '32.ct1.a1', '32.cu1.a1', '32.cx1.a1', '32.cz1.a2', '48.df1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 390, 388, 256], 'label': '768.87077.16.df1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.df1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.df1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918383
{'ambient': '768.87077', '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': '32.a1.a1', 'complements': ['384.m1.b1', '384.m1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.g1.a1', '4.g1.b1', '4.k1.a1', '4.q1.a1', '4.r1.a1', '4.r1.b1', '4.r1.c1', '4.r1.d1', '6.a1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 256, 390, 8, 64, 16, 384, 452], 'label': '768.87077.2.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.g1.b1', '4.g1.a1', '6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918384
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.l1.b1', '8.bl1.a1', '8.bm1.b1', '8.bm1.d1', '8.bs1.a1', '8.bu1.b1', '8.bu1.d1', '12.r1.b1'], 'core': '8.l1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 384, 390, 8, 16, 388, 256], 'label': '768.87077.4.r1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.r1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.r1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918385
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '8.bl1.b1', '8.bn1.a1'], 'contains': ['32.cq1.a1', '32.cr1.b1', '32.cs1.b1', '32.ct1.b1', '32.cu1.b1', '32.cx1.b1', '32.cz1.a1', '48.df1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 6, 452, 256], 'label': '768.87077.16.df1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.df1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.df1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918386
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-
id: 59918387
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '8.bl1.b1', '8.bn1.b1'], 'contains': ['32.cq1.b1', '32.cr1.d1', '32.cs1.d1', '32.ct1.b1', '32.cu1.b1', '32.cx1.b1', '32.cz1.a2', '48.df1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 390, 452, 256], 'label': '768.87077.16.df1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '16.df1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.df1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918388
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bf1.a1', '8.bm1.b1', '8.bo1.a1'], 'contains': ['32.cq1.a1', '32.da1.a1', '32.da1.d1', '48.dg1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 16, 28, 256, 390], 'label': '768.87077.16.dg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.dg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918389
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bf1.a1', '8.bm1.c1', '8.bo1.a1'], 'contains': ['32.cq1.a1', '32.da1.b1', '32.da1.c1', '48.dg1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [97, 16, 28, 256, 390], 'label': '768.87077.16.dg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.dg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918390
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bf1.a1', '8.bm1.a1', '8.bo1.b1'], 'contains': ['32.cq1.b1', '32.da1.a1', '32.da1.c1', '48.dg1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [485, 16, 412, 256, 6], 'label': '768.87077.16.dg1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.dg1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dg1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918391
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '16.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bf1.a1', '8.bm1.d1', '8.bo1.b1'], 'contains': ['32.cq1.b1', '32.da1.b1', '32.da1.d1', '48.dg1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [421, 16, 412, 256, 6], 'label': '768.87077.16.dg1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '16.dg1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dg1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918392
{'ambient': '768.87077', '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': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.c1.a1', '12.d1.a1'], 'contains': ['48.a1.a1', '48.b1.a1', '48.c1.a1', '48.j1.a1', '48.r1.a1', '48.be1.a1', '48.be1.b1', '48.bs1.a1', '48.bz1.a1', '48.ca1.a1', '48.cd1.a1', '48.cd1.b1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [476, 454, 64, 16, 384], 'label': '768.87077.24.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '48.c1.a1', '48.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918393
{'ambient': '768.87077', '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': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1', '12.e1.a1', '12.f1.a1'], 'contains': ['48.a1.a1', '48.d1.a1', '48.e1.a1', '48.k1.a1', '48.u1.a1', '48.bf1.a1', '48.bf1.b1', '48.bt1.a1', '48.cb1.a1', '48.cb1.b1', '48.ce1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 452, 64, 16, 384], 'label': '768.87077.24.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.b1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '48.d1.a1', '48.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918394
{'ambient': '768.87077', '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': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.a1.a1', '12.g1.a1', '12.h1.a1'], 'contains': ['48.a1.a1', '48.f1.a1', '48.g1.a1', '48.m1.a1', '48.w1.a1', '48.cc1.a1', '48.cc1.b1', '48.cf1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 2, 64, 384], 'label': '768.87077.24.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': ['8.c1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '48.f1.a1', '48.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918395
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.l1.c1', '8.bl1.b1', '8.bm1.a1', '8.bm1.b1', '8.bs1.b1', '8.bu1.a1', '8.bu1.b1', '12.r1.c1'], 'core': '8.l1.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 384, 390, 8, 16, 452, 256], 'label': '768.87077.4.r1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.r1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.r1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918396
{'ambient': '768.87077', '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': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.a1.a1', '12.i1.a1', '12.j1.a1'], 'contains': ['48.b1.a1', '48.d1.a1', '48.g1.a1', '48.s1.a1', '48.cj1.a1', '48.cj1.b1', '48.cu1.a1', '48.cu1.b1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 452, 64, 384], 'label': '768.87077.24.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': ['8.d1.a1', '12.a1.a1'], 'normal_contains': ['48.d1.a1', '48.b1.a1', '48.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918397
{'ambient': '768.87077', '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': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.a1.a1', '12.k1.a1', '12.l1.a1'], 'contains': ['48.b1.a1', '48.e1.a1', '48.f1.a1', '48.t1.a1', '48.ck1.a1', '48.ck1.b1', '48.cv1.a1', '48.cv1.b1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [476, 2, 64, 384], 'label': '768.87077.24.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': ['8.e1.a1', '12.a1.a1'], 'normal_contains': ['48.b1.a1', '48.e1.a1', '48.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918398
{'ambient': '768.87077', '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': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '12.a1.a1', '12.b1.a1', '12.b1.b1', '12.m1.a1', '12.n1.a1', '12.o1.a1', '12.o1.b1'], 'contains': ['48.c1.a1', '48.d1.a1', '48.f1.a1', '48.h1.a1', '48.h1.b1', '48.i1.a1', '48.i1.b1', '48.x1.a1', '48.cx1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 452, 64, 384], 'label': '768.87077.24.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.a1', 'normal_contained_in': ['8.f1.a1', '12.a1.a1', '12.b1.b1', '12.b1.a1'], 'normal_contains': ['48.d1.a1', '48.c1.a1', '48.f1.a1', '48.h1.b1', '48.h1.a1', '48.i1.b1', '48.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918399
{'ambient': '768.87077', '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': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '12.a1.a1', '12.p1.a1', '12.q1.a1'], 'contains': ['48.c1.a1', '48.e1.a1', '48.g1.a1', '48.y1.a1', '48.cl1.a1', '48.cp1.a1', '48.cy1.a1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 454, 64, 384], 'label': '768.87077.24.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': ['8.g1.a1', '12.a1.a1'], 'normal_contains': ['48.c1.a1', '48.e1.a1', '48.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918400
{'ambient': '768.87077', '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': '32.a1.a1', 'complements': ['32.bi1.a2', '32.bi1.c2', '32.bi1.d2', '32.bi1.b2', '32.bi1.c1', '32.bi1.a1', '32.bi1.b1', '32.bi1.d1', '32.t1.a1', '32.t1.d1', '32.t1.b1', '32.t1.c1', '32.be1.a1', '32.be1.c1', '32.be1.d1', '32.be1.b1', '32.dl1.d1', '32.dl1.c1', '32.dl1.b1', '32.dl1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '12.b1.b1', '12.r1.a1', '12.s1.a1'], 'contains': ['48.i1.a1', '48.cr1.c1'], 'core': '24.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41, 388], 'label': '768.87077.24.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.a1', 'normal_contained_in': ['8.l1.a1', '12.b1.b1'], 'normal_contains': ['48.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918401
{'ambient': '768.87077', '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': '32.a1.a1', 'complements': ['32.bi1.a2', '32.bi1.c2', '32.bi1.d2', '32.bi1.b2', '32.bi1.c1', '32.bi1.a1', '32.bi1.b1', '32.bi1.d1', '32.t1.a1', '32.t1.d1', '32.t1.b1', '32.t1.c1', '32.be1.a1', '32.be1.c1', '32.be1.d1', '32.be1.b1', '32.dl1.d1', '32.dl1.c1', '32.dl1.b1', '32.dl1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.l1.b1', '12.b1.b1', '12.r1.b1', '12.s1.b1'], 'contains': ['48.i1.a1', '48.cr1.d1'], 'core': '24.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [105, 388], 'label': '768.87077.24.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.b1', 'normal_contained_in': ['8.l1.b1', '12.b1.b1'], 'normal_contains': ['48.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918402
{'ambient': '768.87077', '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': '32.a1.a1', 'complements': ['32.bi1.a2', '32.bi1.c2', '32.bi1.d2', '32.bi1.b2', '32.bi1.c1', '32.bi1.a1', '32.bi1.b1', '32.bi1.d1', '32.t1.a1', '32.t1.d1', '32.t1.b1', '32.t1.c1', '32.be1.a1', '32.be1.c1', '32.be1.d1', '32.be1.b1', '32.dl1.b1', '32.dl1.a1', '32.dl1.d1', '32.dl1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['8.l1.c1', '12.b1.a1', '12.r1.c1', '12.s1.c1'], 'contains': ['48.i1.b1', '48.cr1.a1'], 'core': '24.h1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 452], 'label': '768.87077.24.h1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.c1', 'normal_contained_in': ['8.l1.c1', '12.b1.a1'], 'normal_contains': ['48.i1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.h1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918403
{'ambient': '768.87077', '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': '32.a1.a1', 'complements': ['32.bi1.a2', '32.bi1.c2', '32.bi1.d2', '32.bi1.b2', '32.bi1.c1', '32.bi1.a1', '32.bi1.b1', '32.bi1.d1', '32.t1.a1', '32.t1.d1', '32.t1.b1', '32.t1.c1', '32.be1.a1', '32.be1.c1', '32.be1.d1', '32.be1.b1', '32.dl1.b1', '32.dl1.a1', '32.dl1.d1', '32.dl1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['8.l1.d1', '12.b1.a1', '12.r1.d1', '12.s1.d1'], 'contains': ['48.i1.b1', '48.cr1.b1'], 'core': '24.h1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [97, 452], 'label': '768.87077.24.h1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.d1', 'normal_contained_in': ['8.l1.d1', '12.b1.a1'], 'normal_contains': ['48.i1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.h1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918404
{'ambient': '768.87077', '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': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '12.c1.a1', '12.e1.a1', '12.g1.a1'], 'contains': ['48.a1.a1', '48.l1.a1', '48.n1.a1', '48.o1.a1', '48.v1.a1', '48.bg1.a1', '48.bg1.b1', '48.bg1.c1', '48.bg1.d1', '48.bg2.a1', '48.bg2.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [10, 32, 384, 16], 'label': '768.87077.24.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918405
{'ambient': '768.87077', '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': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1.a1', '12.c1.a1', '12.f1.a1', '12.g1.a1'], 'contains': ['48.a1.a1', '48.p1.a1', '48.q1.a1', '48.bh1.a1', '48.bh1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [10, 418, 16], 'label': '768.87077.24.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918406
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.l1.d1', '8.bl1.b1', '8.bm1.c1', '8.bm1.d1', '8.bs1.b1', '8.bu1.c1', '8.bu1.d1', '12.r1.d1'], 'core': '8.l1.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 384, 390, 8, 16, 452, 256], 'label': '768.87077.4.r1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.r1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.r1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918407
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.o1.a1', '12.a1.a1'], 'contains': ['48.j1.a1', '48.k1.a1', '48.m1.a1', '48.s1.a1', '48.t1.a1', '48.x1.a1', '48.y1.a1', '48.cg1.a1', '48.cg1.b1', '48.cg1.c1', '48.cg1.d1', '48.ch1.a1', '48.ch1.b1', '48.ch1.c1', '48.ch1.d1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 2, 452, 64], 'label': '768.87077.24.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '24.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918408
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.p1.a1', '12.d1.a1'], 'contains': ['48.j1.a1', '48.z1.a1', '48.z1.b1', '48.bi1.a1', '48.bi1.b1', '48.bu1.a1', '48.bu1.a2', '48.ci1.a1', '48.ci1.b1', '48.ci1.c1', '48.ci1.d1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 476, 64, 16], 'label': '768.87077.24.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '24.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918409
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.q1.a1', '12.e1.a1'], 'contains': ['48.k1.a1', '48.l1.a1', '48.ba1.a1', '48.bb1.a1', '48.bc1.a1', '48.bc1.a2', '48.bj1.a1', '48.bj1.b1', '48.bj1.c1', '48.bj1.d1', '48.bj2.a1', '48.bj2.a2', '48.bj2.b1', '48.bj2.b2'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 32, 452, 16], 'label': '768.87077.24.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '24.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918410
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.r1.a1', '12.h1.a1'], 'contains': ['48.m1.a1', '48.bd1.a1', '48.bd1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 8], 'label': '768.87077.24.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.h1.a1', 'old_label': '24.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918411
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1.a1', '12.c1.a1', '12.i1.a1', '12.k1.a1'], 'contains': ['48.b1.a1', '48.n1.a1', '48.p1.a1', '48.bk1.a1', '48.bk1.b1', '48.bv1.a1', '48.cw1.a1', '48.cw1.b1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [476, 418, 384, 16], 'label': '768.87077.24.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918412
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.t1.a1', '12.c1.a1', '12.j1.a1', '12.k1.a1'], 'contains': ['48.b1.a1', '48.o1.a1', '48.q1.a1', '48.bl1.a1', '48.bl1.b1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [476, 32, 16], 'label': '768.87077.24.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918413
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.u1.a1', '12.c1.a1', '12.m1.a1', '12.p1.a1'], 'contains': ['48.c1.a1', '48.n1.a1', '48.q1.a1', '48.bm1.a1', '48.bm1.b1', '48.bw1.a1', '48.cm1.a1', '48.cq1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 454, 64, 16], 'label': '768.87077.24.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918414
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.v1.a1', '12.b1.a1', '12.d1.a1', '12.q1.a1'], 'contains': ['48.c1.a1', '48.z1.a1', '48.cr1.a1', '48.cr1.b1', '48.cz1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 64, 384], 'label': '768.87077.24.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918415
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.v1.b1', '12.b1.b1', '12.d1.a1', '12.q1.a1'], 'contains': ['48.c1.a1', '48.z1.b1', '48.cr1.c1', '48.cr1.d1', '48.cz1.b1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41, 64, 384], 'label': '768.87077.24.r1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.r1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.r1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918416
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.w1.a1', '12.c1.a1', '12.n1.a1', '12.p1.a1'], 'contains': ['48.c1.a1', '48.o1.a1', '48.p1.a1', '48.bn1.a1', '48.bn1.b1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [32, 454, 16], 'label': '768.87077.24.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918417
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.b1'], 'contains': ['8.l1.a1', '8.br1.a1', '8.bt1.a1', '12.s1.a1'], 'core': '8.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 16, 384, 40, 256, 2, 388], 'label': '768.87077.4.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '4.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918418
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '12.e1.a1', '12.i1.a1', '12.m1.a1'], 'contains': ['48.d1.a1', '48.n1.a1', '48.ba1.a1', '48.bo1.a1', '48.bo1.b1', '48.bx1.a1', '48.cn1.a1', '48.cn1.b1', '48.da1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [426, 452, 64, 16, 384], 'label': '768.87077.24.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918419
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '12.e1.a1', '12.j1.a1', '12.n1.a1'], 'contains': ['48.d1.a1', '48.o1.a1', '48.bb1.a1', '48.bp1.a1', '48.bp1.b1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [32, 452, 384, 16], 'label': '768.87077.24.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918420
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '12.f1.a1', '12.i1.a1', '12.n1.a1'], 'contains': ['48.d1.a1', '48.p1.a1', '48.db1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [418, 452, 384], 'label': '768.87077.24.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918421
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '12.f1.a1', '12.j1.a1', '12.m1.a1'], 'contains': ['48.d1.a1', '48.q1.a1', '48.co1.a1', '48.co1.b1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [40, 452, 64], 'label': '768.87077.24.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918422
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.x1.a1', '12.e1.a1', '12.k1.a1', '12.p1.a1'], 'contains': ['48.e1.a1', '48.n1.a1', '48.o1.a1', '48.bc1.a1', '48.bc1.a2', '48.bq1.a1', '48.bq1.b1', '48.bq2.a1', '48.bq2.b1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [478, 32, 384, 16], 'label': '768.87077.24.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918423
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.y1.a1', '12.f1.a1', '12.k1.a1', '12.p1.a1'], 'contains': ['48.e1.a1', '48.p1.a1', '48.q1.a1', '48.by1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [478, 418, 16], 'label': '768.87077.24.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918424
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.z1.a1', '12.g1.a1', '12.k1.a1', '12.m1.a1'], 'contains': ['48.f1.a1', '48.n1.a1', '48.q1.a1', '48.cs1.a1', '48.cs1.b1'], 'core': '48.f1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 2, 64], 'label': '768.87077.24.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918425
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.ba1.a1', '12.g1.a1', '12.i1.a1', '12.p1.a1'], 'contains': ['48.g1.a1', '48.n1.a1', '48.p1.a1', '48.dc1.a1', '48.dc1.a2'], 'core': '48.g1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [8, 418, 384], 'label': '768.87077.24.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918426
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bb1.a1', '12.g1.a1', '12.k1.a1', '12.n1.a1'], 'contains': ['48.f1.a1', '48.o1.a1', '48.p1.a1'], 'core': '48.f1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [32, 2], 'label': '768.87077.24.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918427
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bc1.a1', '12.h1.a1', '12.l1.a1', '12.o1.a1'], 'contains': ['48.f1.a1', '48.bd1.a1', '48.ct1.a1', '48.dd1.a1'], 'core': '48.f1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 64, 384], 'label': '768.87077.24.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '24.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918428
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.b1'], 'contains': ['8.l1.b1', '8.br1.a1', '8.bt1.a1', '12.s1.b1'], 'core': '8.l1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [65, 16, 384, 40, 256, 2, 388], 'label': '768.87077.4.s1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '4.s1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.s1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918429
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bc1.b1', '12.h1.a1', '12.l1.a1', '12.o1.b1'], 'contains': ['48.f1.a1', '48.bd1.b1', '48.ct1.b1', '48.dd1.b1'], 'core': '48.f1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9, 64, 384], 'label': '768.87077.24.bc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '24.bc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918430
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bd1.a1', '12.g1.a1', '12.j1.a1', '12.p1.a1'], 'contains': ['48.g1.a1', '48.o1.a1', '48.q1.a1'], 'core': '48.g1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [8, 32], 'label': '768.87077.24.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918473
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bv1.a1', '12.i1.a1'], 'contains': ['48.cu1.a1', '48.cw1.a1', '48.da1.a1', '48.db1.a1', '48.dc1.a1', '48.dc1.a2'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [8, 418, 452], 'label': '768.87077.24.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '24.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918431
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.be1.a1', '12.a1.a1'], 'contains': ['48.r1.a1', '48.s1.a1', '48.t1.a1', '48.u1.a1', '48.w1.a1', '48.x1.a1', '48.y1.a1', '48.de1.a1', '48.de1.b1', '48.de1.c1', '48.de1.d1', '48.df1.a1', '48.df1.b1', '48.df1.c1', '48.df1.d1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 2, 452, 64], 'label': '768.87077.24.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '24.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918432
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bf1.a1', '12.d1.a1'], 'contains': ['48.r1.a1', '48.z1.a1', '48.z1.b1', '48.dg1.a1', '48.dg1.b1', '48.dg1.c1', '48.dg1.d1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 92, 64], 'label': '768.87077.24.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '24.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918433
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bg1.a1', '12.e1.a1'], 'contains': ['48.u1.a1', '48.v1.a1', '48.ba1.a1', '48.bb1.a1', '48.bc1.a1', '48.bc1.a2', '48.br1.a1', '48.br1.a2', '48.br1.b1', '48.br1.b2', '48.br2.a1', '48.br2.a2', '48.br2.b1', '48.br2.b2'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [394, 32, 452, 16], 'label': '768.87077.24.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '24.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918434
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bh1.a1', '12.h1.a1'], 'contains': ['48.w1.a1', '48.bd1.a1', '48.bd1.b1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 392], 'label': '768.87077.24.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.h1.a1', 'old_label': '24.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918435
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bi1.a1', '12.c1.a1'], 'contains': ['48.be1.a1', '48.bg1.a1', '48.bh1.a1', '48.bk1.a1', '48.bl1.a1', '48.bm1.a1', '48.bn1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [460, 32, 454], 'label': '768.87077.24.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '24.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918436
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bi1.b1', '12.c1.a1'], 'contains': ['48.be1.a1', '48.bg1.b1', '48.bh1.a1', '48.bk1.b1', '48.bl1.b1', '48.bm1.b1', '48.bn1.b1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [460, 48, 454], 'label': '768.87077.24.bi1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '24.bi1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bi1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918437
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bi1.c1', '12.c1.a1'], 'contains': ['48.be1.b1', '48.bg1.c1', '48.bh1.b1', '48.bk1.a1', '48.bl1.b1', '48.bm1.a1', '48.bn1.b1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [476, 48, 454], 'label': '768.87077.24.bi1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '24.bi1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bi1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918438
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bi1.d1', '12.c1.a1'], 'contains': ['48.be1.b1', '48.bg1.d1', '48.bh1.b1', '48.bk1.b1', '48.bl1.a1', '48.bm1.b1', '48.bn1.a1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [476, 32, 454], 'label': '768.87077.24.bi1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '24.bi1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bi1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918439
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '4.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1'], 'contains': ['8.l1.c1', '8.br1.b1', '8.bt1.b1', '12.s1.c1'], 'core': '8.l1.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 16, 400, 40, 256, 390, 68], 'label': '768.87077.4.s1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '4.s1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.s1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918440
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bj1.a1', '12.e1.a1'], 'contains': ['48.bf1.a1', '48.bg1.b1', '48.bg2.a1', '48.bj1.b1', '48.bj2.a1', '48.bj2.a2', '48.bo1.a1', '48.bp1.a1', '48.bq1.b1', '48.bq2.b1', '48.br1.b1', '48.br1.b2', '48.br2.b1', '48.br2.b2'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 48, 452, 384], 'label': '768.87077.24.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '24.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918441
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bj1.b1', '12.e1.a1'], 'contains': ['48.bf1.a1', '48.bg1.a1', '48.bg2.a1', '48.bj1.a1', '48.bj2.a1', '48.bj2.a2', '48.bo1.b1', '48.bp1.b1', '48.bq1.a1', '48.bq2.a1', '48.br1.a1', '48.br1.a2', '48.br2.a1', '48.br2.a2'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 32, 452, 384], 'label': '768.87077.24.bj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '24.bj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918442
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bj1.c1', '12.e1.a1'], 'contains': ['48.bf1.b1', '48.bg1.d1', '48.bg2.b1', '48.bj1.d1', '48.bj2.b1', '48.bj2.b2', '48.bo1.a1', '48.bp1.b1', '48.bq1.a1', '48.bq2.b1', '48.br1.a1', '48.br1.a2', '48.br2.b1', '48.br2.b2'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 32, 452, 384], 'label': '768.87077.24.bj1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '24.bj1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bj1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918443
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bj1.d1', '12.e1.a1'], 'contains': ['48.bf1.b1', '48.bg1.c1', '48.bg2.b1', '48.bj1.c1', '48.bj2.b1', '48.bj2.b2', '48.bo1.b1', '48.bp1.a1', '48.bq1.b1', '48.bq2.a1', '48.br1.b1', '48.br1.b2', '48.br2.a1', '48.br2.a2'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 48, 452, 384], 'label': '768.87077.24.bj1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '24.bj1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bj1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918444
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bk1.a1', '12.a1.a1'], 'contains': ['48.h1.a1', '48.bz1.a1', '48.cb1.a1', '48.cc1.b1', '48.cg1.a1', '48.cg1.c1', '48.cj1.a1', '48.ck1.b1', '48.cl1.a1', '48.de1.a1', '48.de1.c1'], 'core': '48.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 454, 388, 384], 'label': '768.87077.24.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918445
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bk1.b1', '12.a1.a1'], 'contains': ['48.h1.b1', '48.bz1.a1', '48.cb1.b1', '48.cc1.a1', '48.cg1.b1', '48.cg1.d1', '48.cj1.b1', '48.ck1.a1', '48.cl1.a1', '48.de1.b1', '48.de1.d1'], 'core': '48.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 454, 452, 384], 'label': '768.87077.24.bk1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bk1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bk1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918446
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bl1.a1', '12.a1.a1', '12.r1.a1', '12.r1.b1'], 'contains': ['48.i1.a1', '48.ca1.a1', '48.cb1.a1', '48.cc1.a1', '48.ch1.a1', '48.ch1.c1', '48.cj1.a1', '48.ck1.a1', '48.cp1.a1', '48.df1.a1', '48.df1.c1'], 'core': '48.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 390, 388, 384], 'label': '768.87077.24.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918447
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bl1.b1', '12.a1.a1', '12.r1.c1', '12.r1.d1'], 'contains': ['48.i1.b1', '48.ca1.a1', '48.cb1.b1', '48.cc1.b1', '48.ch1.b1', '48.ch1.d1', '48.cj1.b1', '48.ck1.b1', '48.cp1.a1', '48.df1.b1', '48.df1.d1'], 'core': '48.i1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 66, 468, 384], 'label': '768.87077.24.bl1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bl1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bl1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918448
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bm1.a1', '12.d1.a1', '12.r1.a1', '12.r1.c1'], 'contains': ['48.ca1.a1', '48.ci1.a1', '48.cr1.a1', '48.cr1.c1', '48.dg1.c1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [485, 412, 384], 'label': '768.87077.24.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918449
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bm1.b1', '12.d1.a1', '12.r1.b1', '12.r1.c1'], 'contains': ['48.ca1.a1', '48.ci1.c1', '48.cr1.a1', '48.cr1.d1', '48.dg1.a1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 412, 384], 'label': '768.87077.24.bm1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bm1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bm1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918451
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bm1.c1', '12.d1.a1', '12.r1.a1', '12.r1.d1'], 'contains': ['48.ca1.a1', '48.ci1.d1', '48.cr1.b1', '48.cr1.c1', '48.dg1.b1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 412, 384], 'label': '768.87077.24.bm1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bm1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bm1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918452
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bm1.d1', '12.d1.a1', '12.r1.b1', '12.r1.d1'], 'contains': ['48.ca1.a1', '48.ci1.b1', '48.cr1.b1', '48.cr1.d1', '48.dg1.d1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [421, 412, 384], 'label': '768.87077.24.bm1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bm1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bm1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918453
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bn1.a1', '12.a1.a1'], 'contains': ['48.cd1.a1', '48.ce1.a1', '48.cf1.a1', '48.cg1.a1', '48.cg1.b1', '48.ch1.a1', '48.ch1.b1', '48.cu1.a1', '48.cv1.a1', '48.cx1.a1', '48.cy1.a1', '48.de1.a1', '48.de1.b1', '48.df1.a1', '48.df1.b1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 2, 452, 448], 'label': '768.87077.24.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '24.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918454
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bn1.b1', '12.a1.a1'], 'contains': ['48.cd1.b1', '48.ce1.a1', '48.cf1.a1', '48.cg1.c1', '48.cg1.d1', '48.ch1.c1', '48.ch1.d1', '48.cu1.b1', '48.cv1.b1', '48.cx1.a1', '48.cy1.a1', '48.de1.c1', '48.de1.d1', '48.df1.c1', '48.df1.d1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 2, 452, 448], 'label': '768.87077.24.bn1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '24.bn1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bn1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918455
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bo1.a1', '12.d1.a1'], 'contains': ['48.cd1.a1', '48.ci1.a1', '48.ci1.b1', '48.cz1.a1', '48.cz1.b1', '48.dg1.a1', '48.dg1.b1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 476, 448], 'label': '768.87077.24.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '24.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918456
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bo1.b1', '12.d1.a1'], 'contains': ['48.cd1.b1', '48.ci1.c1', '48.ci1.d1', '48.cz1.a1', '48.cz1.b1', '48.dg1.c1', '48.dg1.d1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 92, 448], 'label': '768.87077.24.bo1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '24.bo1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bo1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918457
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bp1.a1', '12.m1.a1'], 'contains': ['48.h1.a1', '48.cm1.a1', '48.cn1.a1', '48.co1.a1', '48.cs1.b1'], 'core': '48.h1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 66, 388], 'label': '768.87077.24.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '24.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918458
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bp1.b1', '12.m1.a1'], 'contains': ['48.h1.b1', '48.cm1.a1', '48.cn1.b1', '48.co1.b1', '48.cs1.a1'], 'core': '48.h1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 2, 452], 'label': '768.87077.24.bp1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '24.bp1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bp1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918459
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bq1.a1', '12.o1.b1'], 'contains': ['48.h1.a1', '48.ct1.b1'], 'core': '48.h1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9, 388], 'label': '768.87077.24.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1.b1', 'old_label': '24.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918460
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bq1.b1', '12.o1.a1'], 'contains': ['48.h1.b1', '48.ct1.a1'], 'core': '48.h1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 452], 'label': '768.87077.24.bq1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1.a1', 'old_label': '24.bq1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bq1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918461
{'ambient': '768.87077', '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': '32.a1.a1', 'complements': ['128.m1.b1', '128.m1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.b1.b1', '12.d1.a1', '12.q1.a1', '12.r1.a1', '12.r1.b1', '12.r1.c1', '12.r1.d1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 8, 452, 64], 'label': '768.87077.6.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['12.a1.a1', '12.b1.b1', '12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918462
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.br1.a1', '12.m1.a1', '12.s1.a1', '12.s1.b1'], 'contains': ['48.i1.a1', '48.cn1.a1', '48.co1.a1', '48.cq1.a1', '48.cs1.a1'], 'core': '48.i1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 2, 388], 'label': '768.87077.24.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '24.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918463
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.br1.b1', '12.m1.a1', '12.s1.c1', '12.s1.d1'], 'contains': ['48.i1.b1', '48.cn1.b1', '48.co1.b1', '48.cq1.a1', '48.cs1.b1'], 'core': '48.i1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 66, 452], 'label': '768.87077.24.br1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '24.br1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.br1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918464
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bs1.a1', '12.b1.a1', '12.r1.a1', '12.r1.b1'], 'contains': ['48.i1.a1', '48.cr1.a1', '48.cr1.b1'], 'core': '48.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 388], 'label': '768.87077.24.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918465
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bs1.b1', '12.b1.b1', '12.r1.c1', '12.r1.d1'], 'contains': ['48.i1.b1', '48.cr1.c1', '48.cr1.d1'], 'core': '48.i1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41, 452], 'label': '768.87077.24.bs1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bs1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bs1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918466
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bt1.a1', '12.o1.a1', '12.s1.a1', '12.s1.b1'], 'contains': ['48.i1.a1', '48.ct1.a1'], 'core': '48.i1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 388], 'label': '768.87077.24.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '24.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918467
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bt1.b1', '12.o1.b1', '12.s1.c1', '12.s1.d1'], 'contains': ['48.i1.b1', '48.ct1.b1'], 'core': '48.i1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [9, 452], 'label': '768.87077.24.bt1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '24.bt1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bt1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918468
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bu1.a1', '12.q1.a1', '12.r1.a1', '12.r1.c1'], 'contains': ['48.cp1.a1', '48.cr1.a1', '48.cr1.c1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [485, 8], 'label': '768.87077.24.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918469
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bu1.b1', '12.q1.a1', '12.r1.b1', '12.r1.c1'], 'contains': ['48.cp1.a1', '48.cr1.a1', '48.cr1.d1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 8], 'label': '768.87077.24.bu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918470
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bu1.c1', '12.q1.a1', '12.r1.a1', '12.r1.d1'], 'contains': ['48.cp1.a1', '48.cr1.b1', '48.cr1.c1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 8], 'label': '768.87077.24.bu1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bu1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bu1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918471
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bu1.d1', '12.q1.a1', '12.r1.b1', '12.r1.d1'], 'contains': ['48.cp1.a1', '48.cr1.b1', '48.cr1.d1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [421, 8], 'label': '768.87077.24.bu1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.bu1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bu1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918472
{'ambient': '768.87077', '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': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.c1.a1', '12.e1.a1', '12.f1.a1', '12.g1.a1', '12.i1.a1', '12.j1.a1', '12.k1.a1', '12.m1.a1', '12.n1.a1', '12.p1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [8, 32, 2, 452], 'label': '768.87077.6.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918474
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bv1.b1', '12.i1.a1'], 'contains': ['48.cu1.b1', '48.cw1.b1', '48.da1.a1', '48.db1.a1', '48.dc1.a1', '48.dc1.a2'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [392, 418, 452], 'label': '768.87077.24.bv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '24.bv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918475
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bw1.a1', '12.l1.a1'], 'contains': ['48.cv1.a1', '48.dd1.a1', '48.dd1.b1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 476], 'label': '768.87077.24.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '24.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918476
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '24.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bw1.b1', '12.l1.a1'], 'contains': ['48.cv1.b1', '48.dd1.a1', '48.dd1.b1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 92], 'label': '768.87077.24.bw1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '24.bw1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bw1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918477
{'ambient': '768.87077', '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.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.j1.a1', '16.k1.a1', '16.l1.a1', '16.m1.a1'], 'contains': ['64.a1.a1', '64.b1.a1', '64.b1.b1', '64.m1.a1', '64.u1.a1', '96.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 64, 16, 256], 'label': '768.87077.32.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.a1', '64.b1.a1', '64.b1.b1', '96.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918478
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id: 59918479
{'ambient': '768.87077', '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.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.r1.a1', '16.u1.a1', '16.v1.a1', '16.w1.a1'], 'contains': ['64.a1.a1', '64.g1.a1', '64.p1.a1', '64.w1.a1', '96.c1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [394, 64, 16, 256], 'label': '768.87077.32.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.c1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.a1', '96.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918480
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.h1.a1', '16.h1.b1', '16.bz1.a1', '16.cl1.a1', '16.cm1.a1'], 'contains': ['64.c1.a1', '64.x1.a1', '64.bk1.a1', '96.d1.a1'], 'core': '32.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [454, 384, 16, 256], 'label': '768.87077.32.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.d1.a1', 'normal_contained_in': ['16.c1.a1', '16.h1.b1', '16.h1.a1'], 'normal_contains': ['64.c1.a1', '96.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918481
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.h1.a1', '16.i1.a1', '16.cb1.a1', '16.cj1.a1', '16.cn1.a1', '16.co1.a1'], 'contains': ['64.c1.a1', '64.y1.a1', '64.bl1.a1', '96.e1.a1'], 'core': '32.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [388, 384, 16, 256], 'label': '768.87077.32.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1.a1', 'normal_contained_in': ['16.d1.a1', '16.h1.a1', '16.i1.a1'], 'normal_contains': ['64.c1.a1', '96.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918482
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.h1.b1', '16.i1.b1', '16.cb1.b1', '16.cj1.b1', '16.cn1.b1', '16.co1.b1'], 'contains': ['64.c1.a1', '64.y1.b1', '64.bl1.b1', '96.e1.b1'], 'core': '32.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [452, 384, 16, 256], 'label': '768.87077.32.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1.b1', 'normal_contained_in': ['16.d1.a1', '16.h1.b1', '16.i1.b1'], 'normal_contains': ['64.c1.a1', '96.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '32.e1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918483
{'ambient': '768.87077', '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': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.h1.a1', '12.l1.a1', '12.o1.a1', '12.o1.b1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 8, 452], 'label': '768.87077.6.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918484
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.i1.a1', '16.i1.b1', '16.ca1.a1', '16.cp1.a1', '16.cq1.a1', '16.cr1.a1', '16.cr1.b1', '16.cr1.c1', '16.cr1.d1'], 'contains': ['64.c1.a1', '64.z1.a1', '64.bm1.a1', '96.f1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [390, 384, 16, 256], 'label': '768.87077.32.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.f1.a1', 'normal_contained_in': ['16.c1.a1', '16.i1.b1', '16.i1.a1'], 'normal_contains': ['64.c1.a1', '96.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 59918485
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '16.h1.b1', '16.i1.a1', '16.cc1.a1', '16.ck1.a1', '16.cs1.a1', '16.ct1.a1'], 'contains': ['64.c1.a1', '64.bc1.a1', '96.g1.a1'], 'core': '32.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 384, 256, 16], 'label': '768.87077.32.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.g1.a1', 'normal_contained_in': ['16.f1.a1', '16.h1.b1', '16.i1.a1'], 'normal_contains': ['64.c1.a1', '96.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918486
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '16.h1.a1', '16.i1.b1', '16.cc1.b1', '16.ck1.b1', '16.cs1.b1', '16.ct1.b1'], 'contains': ['64.c1.a1', '64.bc1.b1', '96.g1.b1'], 'core': '32.g1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [66, 384, 256, 16], 'label': '768.87077.32.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.g1.b1', 'normal_contained_in': ['16.f1.a1', '16.h1.a1', '16.i1.b1'], 'normal_contains': ['64.c1.a1', '96.g1.b1'], 'normalizer': '1.a1.a1', 'old_label': '32.g1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.g1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918487
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.cd1.a1', '16.cu1.a1', '16.cv1.a1', '16.cw1.a1'], 'contains': ['64.d1.a1', '64.v1.a1', '64.bq1.a1', '96.h1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [476, 448, 16, 256], 'label': '768.87077.32.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1.a1', 'normal_contained_in': ['16.b1.a1'], 'normal_contains': ['64.d1.a1', '96.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918488
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.cd1.b1', '16.cu1.b1', '16.cv1.b1', '16.cw1.b1'], 'contains': ['64.d1.a1', '64.v1.b1', '64.bq1.b1', '96.h1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [92, 448, 16, 256], 'label': '768.87077.32.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1.b1', 'normal_contained_in': ['16.b1.a1'], 'normal_contains': ['64.d1.a1', '96.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '32.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918489
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.j1.a1', '16.r1.a1', '16.s1.a1', '16.t1.a1'], 'contains': ['64.a1.a1', '64.f1.a1', '64.o1.a1', '64.v1.a1', '64.v1.b1', '96.i1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 64, 16, 256], 'label': '768.87077.32.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918490
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.j1.a1', '16.r1.a1', '16.x1.a1', '16.y1.a1', '16.z1.a1', '16.z1.b1'], 'contains': ['64.a1.a1', '64.h1.a1', '64.q1.a1', '64.x1.a1', '64.z1.a1', '96.j1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [454, 64, 16, 256], 'label': '768.87077.32.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918491
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.k1.a1', '16.s1.a1', '16.u1.a1', '16.x1.a1', '16.ba1.a1', '16.bb1.a1'], 'contains': ['64.a1.a1', '64.i1.a1', '64.r1.a1', '64.y1.a1', '64.y1.b1', '96.k1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [452, 64, 16, 256], 'label': '768.87077.32.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918492
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '16.k1.a1', '16.t1.a1', '16.u1.a1', '16.y1.a1', '16.bc1.a1', '16.bc1.a2'], 'contains': ['64.a1.a1', '64.j1.a1', '64.s1.a1', '64.ba1.a1', '96.l1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [478, 64, 16, 256], 'label': '768.87077.32.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918493
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '16.n1.a1', '16.v1.a1', '16.ba1.a1', '16.bc1.a1', '16.bc1.a2'], 'contains': ['64.a1.a1', '64.k1.a1', '64.k1.b1', '64.t1.a1', '64.bb1.a1', '96.m1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 64, 16, 256], 'label': '768.87077.32.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918494
{'ambient': '768.87077', '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': '192.a1.a1', 'complements': ['384.m1.a1', '384.m1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.i1.a1', '4.i1.b1', '4.m1.a1', '4.o1.a1', '6.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 64, 384, 8, 2, 256, 16, 452], 'label': '768.87077.2.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.i1.a1', '4.i1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918495
{'ambient': '768.87077', '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': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.m1.a1', '12.o1.b1', '12.s1.c1', '12.s1.d1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [33, 40, 64], 'label': '768.87077.6.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918496
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '16.m1.a1', '16.t1.a1', '16.w1.a1', '16.x1.a1', '16.bd1.a1', '16.bd1.b1'], 'contains': ['64.a1.a1', '64.bc1.a1', '64.bc1.b1', '96.n1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 64, 256, 16], 'label': '768.87077.32.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '32.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918497
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '16.m1.a1', '16.s1.a1', '16.w1.a1', '16.y1.a1'], 'contains': ['64.a1.a1', '64.bd1.a1', '96.o1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 64, 256, 16], 'label': '768.87077.32.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '32.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918498
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '16.o1.a1', '16.v1.a1', '16.bb1.a1', '16.bc1.a1', '16.bc1.a2'], 'contains': ['64.a1.a1', '64.l1.a1', '64.l1.b1', '96.p1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [32, 16, 64, 256], 'label': '768.87077.32.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918499
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.be1.a1', '16.bf1.a1', '16.bg1.a1', '16.bg1.b1', '16.bg2.a1', '16.bh1.a1'], 'contains': ['64.b1.a1', '64.e1.a1', '64.g1.a1', '64.be1.a1', '64.bf1.a1', '96.q1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 64, 384, 256], 'label': '768.87077.32.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918500
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.be1.b1', '16.bf1.b1', '16.bg1.c1', '16.bg1.d1', '16.bg2.b1', '16.bh1.b1'], 'contains': ['64.b1.b1', '64.e1.a1', '64.g1.a1', '64.be1.b1', '64.bf1.b1', '96.q1.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26, 64, 384, 256], 'label': '768.87077.32.q1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.q1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.q1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918501
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '16.be1.a1', '16.bi1.a1'], 'contains': ['64.b1.a1', '64.f1.a1', '64.h1.a1', '64.bg1.a1', '64.bg1.b1', '64.bh1.a1', '64.bh1.b1', '96.r1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 454, 64, 256], 'label': '768.87077.32.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '32.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918502
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '16.be1.b1', '16.bi1.b1'], 'contains': ['64.b1.b1', '64.f1.a1', '64.h1.a1', '64.bg1.c1', '64.bg1.d1', '64.bh1.c1', '64.bh1.d1', '96.r1.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 390, 64, 256], 'label': '768.87077.32.r1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '32.r1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.r1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918503
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '16.bf1.a1', '16.bj1.a1', '16.bj1.b1', '16.bj2.a1', '16.bj2.a2'], 'contains': ['64.b1.a1', '64.i1.a1', '64.j1.a1', '64.bi1.a1', '64.bi1.b1', '96.s1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 452, 64, 256], 'label': '768.87077.32.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918504
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '16.bf1.b1', '16.bj1.c1', '16.bj1.d1', '16.bj2.b1', '16.bj2.b2'], 'contains': ['64.b1.b1', '64.i1.a1', '64.j1.a1', '64.bi1.c1', '64.bi1.d1', '96.s1.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 452, 64, 256], 'label': '768.87077.32.s1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.s1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.s1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918505
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '16.bg1.a1', '16.bg2.a1', '16.bj1.a1', '16.bj2.a1', '16.bj2.a2'], 'contains': ['64.b1.a1', '64.k1.a1', '64.l1.a1', '96.t1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 32, 64, 256], 'label': '768.87077.32.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918506
{'ambient': '768.87077', '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': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.b1', '3.a1.a1'], 'contains': ['12.b1.b1', '12.m1.a1', '12.o1.a1', '12.s1.a1', '12.s1.b1'], 'core': '12.b1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 40, 64], 'label': '768.87077.6.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918507
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '16.bg1.b1', '16.bg2.a1', '16.bj1.b1', '16.bj2.a1', '16.bj2.a2'], 'contains': ['64.b1.a1', '64.k1.b1', '64.l1.b1', '96.t1.b1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 48, 64, 256], 'label': '768.87077.32.t1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.t1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.t1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918508
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '16.bg1.c1', '16.bg2.b1', '16.bj1.c1', '16.bj2.b1', '16.bj2.b2'], 'contains': ['64.b1.b1', '64.k1.a1', '64.l1.b1', '96.t1.c1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 48, 64, 256], 'label': '768.87077.32.t1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.t1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.t1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918509
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '16.bg1.d1', '16.bg2.b1', '16.bj1.d1', '16.bj2.b1', '16.bj2.b2'], 'contains': ['64.b1.b1', '64.k1.b1', '64.l1.a1', '96.t1.d1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 32, 64, 256], 'label': '768.87077.32.t1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.t1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.t1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918510
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.be1.a1', '16.be1.b1', '16.bk1.a1', '16.bk1.b1', '16.bl1.a1', '16.bl1.b1'], 'contains': ['64.e1.a1', '64.f1.a1', '64.bj1.a1', '64.bq1.a1', '64.bq1.b1', '96.u1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 64, 384, 256], 'label': '768.87077.32.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '32.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918511
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.be1.a1', '16.be1.b1', '16.bm1.a1', '16.bm1.b1', '16.bn1.a1', '16.bn1.b1'], 'contains': ['64.e1.a1', '64.h1.a1', '64.bk1.a1', '64.bm1.a1', '64.br1.a1', '96.v1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454, 64, 384, 256], 'label': '768.87077.32.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '32.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918512
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.bf1.a1', '16.bf1.b1', '16.bo1.a1', '16.bo1.b1', '16.bp1.a1', '16.bp1.b1'], 'contains': ['64.e1.a1', '64.i1.a1', '64.bl1.a1', '64.bl1.b1', '64.bs1.a1', '64.bs1.a2', '96.w1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 64, 384, 256], 'label': '768.87077.32.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918513
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '16.bf1.a1', '16.bf1.b1', '16.bq1.a1', '16.bq1.b1', '16.bq2.a1', '16.bq2.b1'], 'contains': ['64.e1.a1', '64.j1.a1', '64.bn1.a1', '64.bt1.a1', '96.x1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 64, 384, 256], 'label': '768.87077.32.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918514
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '16.bg1.a1', '16.bg1.c1', '16.bk1.a1', '16.bm1.a1', '16.bo1.b1', '16.bq2.a1'], 'contains': ['64.e1.a1', '64.k1.a1', '64.bo1.a1', '64.bu1.a1', '96.y1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [426, 64, 384, 256], 'label': '768.87077.32.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918515
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '16.bg1.b1', '16.bg1.d1', '16.bk1.b1', '16.bm1.b1', '16.bo1.a1', '16.bq2.b1'], 'contains': ['64.e1.a1', '64.k1.b1', '64.bo1.b1', '64.bu1.b1', '96.y1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [442, 64, 384, 256], 'label': '768.87077.32.y1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.y1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.y1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918516
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.y2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '16.bg2.a1', '16.bg2.b1', '16.bo1.a1', '16.bo1.b1', '16.bq1.a1', '16.bq1.b1'], 'contains': ['64.e1.a1', '64.k1.a1', '64.k1.b1', '64.bo2.a1', '64.bu2.a1', '96.y2.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 64, 400, 256], 'label': '768.87077.32.y2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.y2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.y2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918517
{'ambient': '768.87077', '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': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.n1.a1', '12.o1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 32], 'label': '768.87077.6.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918518
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.a1', '16.bg1.a1', '16.bg1.d1', '16.bl1.a1', '16.bn1.a1', '16.bp1.b1', '16.bq1.a1'], 'contains': ['64.e1.a1', '64.l1.a1', '96.z1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [32, 384, 64, 256], 'label': '768.87077.32.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918519
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.a1', '16.bg1.b1', '16.bg1.c1', '16.bl1.b1', '16.bn1.b1', '16.bp1.a1', '16.bq1.b1'], 'contains': ['64.e1.a1', '64.l1.b1', '96.z1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [48, 384, 64, 256], 'label': '768.87077.32.z1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.z1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.z1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918520
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.z2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.a1', '16.bg2.a1', '16.bg2.b1', '16.bp1.a1', '16.bp1.b1', '16.bq2.a1', '16.bq2.b1'], 'contains': ['64.e1.a1', '64.l1.a1', '64.l1.b1', '96.z2.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [32, 400, 64, 256], 'label': '768.87077.32.z2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.z2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.z2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918521
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.p1.a1', '16.bh1.a1', '16.bh1.b1', '16.bk1.a1', '16.bk1.b1', '16.bn1.a1', '16.bn1.b1'], 'contains': ['64.e1.a1', '64.bv1.a1', '96.ba1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [418, 400, 464, 256], 'label': '768.87077.32.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '32.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918522
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.q1.a1', '16.bh1.a1', '16.bh1.b1', '16.bl1.a1', '16.bl1.b1', '16.bm1.a1', '16.bm1.b1'], 'contains': ['64.e1.a1', '64.bp1.a1', '96.bb1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40, 64, 400, 256], 'label': '768.87077.32.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '32.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918523
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '16.be1.a1', '16.be1.b1'], 'contains': ['64.f1.a1', '64.g1.a1', '64.h1.a1', '64.bw1.a1', '64.bw1.b1', '64.bx1.a1', '64.bx1.b1', '96.bc1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 454, 64, 256], 'label': '768.87077.32.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918524
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.u1.a1', '16.bf1.a1', '16.bf1.b1', '16.br1.a1', '16.br1.b1', '16.br2.a1', '16.br2.b1'], 'contains': ['64.g1.a1', '64.i1.a1', '64.j1.a1', '64.by1.a1', '64.by1.b1', '96.bd1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 452, 64, 256], 'label': '768.87077.32.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918525
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.u1.a1', '16.bf1.a1', '16.bf1.b1', '16.br1.a2', '16.br1.b2', '16.br2.a2', '16.br2.b2'], 'contains': ['64.g1.a1', '64.i1.a1', '64.j1.a1', '64.by1.a2', '64.by1.b2', '96.bd1.a2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [410, 452, 64, 256], 'label': '768.87077.32.bd1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bd1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bd1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918526
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.v1.a1', '16.bg1.a1', '16.bg2.b1', '16.br1.a1', '16.br1.a2', '16.br2.a1', '16.br2.a2'], 'contains': ['64.g1.a1', '64.k1.a1', '64.l1.a1', '96.be1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 32, 64, 256], 'label': '768.87077.32.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918527
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.v1.a1', '16.bg1.c1', '16.bg2.a1', '16.br1.b1', '16.br1.b2', '16.br2.a1', '16.br2.a2'], 'contains': ['64.g1.a1', '64.k1.a1', '64.l1.b1', '96.be1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [410, 48, 64, 256], 'label': '768.87077.32.be1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.be1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.be1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918528
{'ambient': '768.87077', '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': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.b1', '3.a1.a1'], 'contains': ['12.b1.b1', '12.n1.a1', '12.o1.b1'], 'core': '12.b1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [9, 32], 'label': '768.87077.6.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.e1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918529
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.v1.a1', '16.bg1.d1', '16.bg2.a1', '16.br1.a1', '16.br1.a2', '16.br2.b1', '16.br2.b2'], 'contains': ['64.g1.a1', '64.k1.b1', '64.l1.a1', '96.be1.c1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [410, 32, 64, 256], 'label': '768.87077.32.be1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.be1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.be1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918530
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.v1.a1', '16.bg1.b1', '16.bg2.b1', '16.br1.b1', '16.br1.b2', '16.br2.b1', '16.br2.b2'], 'contains': ['64.g1.a1', '64.k1.b1', '64.l1.b1', '96.be1.d1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 48, 64, 256], 'label': '768.87077.32.be1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.be1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.be1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918531
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.a1', '16.bi1.a1', '16.bi1.b1'], 'contains': ['64.h1.a1', '64.ca1.a1', '64.ca1.b1', '96.bf1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 64, 256, 390], 'label': '768.87077.32.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918532
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.b1', '16.bi1.a1', '16.bi1.b1'], 'contains': ['64.h1.a1', '64.ca1.c1', '64.ca1.d1', '96.bf1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [41, 64, 256, 6], 'label': '768.87077.32.bf1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.bf1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bf1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918533
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '16.bj1.a1', '16.bj1.c1', '16.bo1.b1', '16.br2.a1', '16.br2.a2'], 'contains': ['64.i1.a1', '64.k1.a1', '64.bz1.a1', '64.bz1.c1', '96.bg1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 468, 64, 256], 'label': '768.87077.32.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918534
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '16.bj1.b1', '16.bj1.d1', '16.bo1.a1', '16.br2.b1', '16.br2.b2'], 'contains': ['64.i1.a1', '64.k1.b1', '64.bz1.b1', '64.bz1.d1', '96.bg1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [442, 468, 64, 256], 'label': '768.87077.32.bg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918535
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '16.bj2.a1', '16.bj2.b1', '16.bo1.a1', '16.bo1.b1', '16.br1.a1', '16.br1.b2'], 'contains': ['64.i1.a1', '64.k1.a1', '64.k1.b1', '64.bz2.a1', '64.bz2.b1', '96.bg2.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 452, 64, 256], 'label': '768.87077.32.bg2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bg2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bg2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918536
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '16.bj2.a2', '16.bj2.b2', '16.bo1.a1', '16.bo1.b1', '16.br1.a2', '16.br1.b1'], 'contains': ['64.i1.a1', '64.k1.a1', '64.k1.b1', '64.bz2.a2', '64.bz2.b2', '96.bg2.a2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [442, 452, 64, 256], 'label': '768.87077.32.bg2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bg2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bg2.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918537
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bb1.a1', '16.bj1.a1', '16.bj1.d1', '16.bp1.b1', '16.br1.a1', '16.br1.a2'], 'contains': ['64.i1.a1', '64.l1.a1', '96.bh1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [32, 452, 64, 256], 'label': '768.87077.32.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918538
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bb1.a1', '16.bj1.b1', '16.bj1.c1', '16.bp1.a1', '16.br1.b1', '16.br1.b2'], 'contains': ['64.i1.a1', '64.l1.b1', '96.bh1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [48, 452, 64, 256], 'label': '768.87077.32.bh1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bh1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bh1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918539
{'ambient': '768.87077', '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': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.j1.a1', '4.k1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.j1.a1', '16.r1.a1', '16.be1.a1', '16.be1.b1', '16.bs1.a1', '16.bz1.a1', '16.ca1.a1', '16.cd1.a1', '16.cd1.b1', '24.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [476, 256, 16, 454, 64, 384], 'label': '768.87077.8.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '16.c1.a1', '16.b1.a1', '24.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918540
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bb1.a1', '16.bj2.a1', '16.bj2.b2', '16.bp1.a1', '16.bp1.b1', '16.br2.a1', '16.br2.b2'], 'contains': ['64.i1.a1', '64.l1.a1', '64.l1.b1', '96.bh2.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [32, 468, 64, 256], 'label': '768.87077.32.bh2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bh2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bh2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918541
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bb1.a1', '16.bj2.a2', '16.bj2.b1', '16.bp1.a1', '16.bp1.b1', '16.br2.a2', '16.br2.b1'], 'contains': ['64.i1.a1', '64.l1.a1', '64.l1.b1', '96.bh2.a2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [48, 468, 64, 256], 'label': '768.87077.32.bh2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bh2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bh2.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918542
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a1', '16.bj1.a1', '16.bj2.b1', '16.bq1.a1', '16.bq2.a1', '16.br1.a2', '16.br2.a1'], 'contains': ['64.j1.a1', '64.k1.a1', '64.l1.a1', '96.bi1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [78, 32, 64, 256], 'label': '768.87077.32.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918543
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a2', '16.bj1.a1', '16.bj2.b2', '16.bq1.a1', '16.bq2.a1', '16.br1.a1', '16.br2.a2'], 'contains': ['64.j1.a1', '64.k1.a1', '64.l1.a1', '96.bi1.a2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 32, 64, 256], 'label': '768.87077.32.bi1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bi1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918544
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a1', '16.bj1.c1', '16.bj2.a1', '16.bq1.b1', '16.bq2.a1', '16.br1.b1', '16.br2.a2'], 'contains': ['64.j1.a1', '64.k1.a1', '64.l1.b1', '96.bi1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [94, 48, 64, 256], 'label': '768.87077.32.bi1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bi1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918545
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a2', '16.bj1.c1', '16.bj2.a2', '16.bq1.b1', '16.bq2.a1', '16.br1.b2', '16.br2.a1'], 'contains': ['64.j1.a1', '64.k1.a1', '64.l1.b1', '96.bi1.b2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [462, 48, 64, 256], 'label': '768.87077.32.bi1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bi1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1.b2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918546
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a1', '16.bj1.d1', '16.bj2.a2', '16.bq1.a1', '16.bq2.b1', '16.br1.a1', '16.br2.b2'], 'contains': ['64.j1.a1', '64.k1.b1', '64.l1.a1', '96.bi1.c1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [94, 32, 64, 256], 'label': '768.87077.32.bi1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bi1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918547
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a2', '16.bj1.d1', '16.bj2.a1', '16.bq1.a1', '16.bq2.b1', '16.br1.a2', '16.br2.b1'], 'contains': ['64.j1.a1', '64.k1.b1', '64.l1.a1', '96.bi1.c2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [462, 32, 64, 256], 'label': '768.87077.32.bi1.c2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bi1.c2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1.c2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918548
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a1', '16.bj1.b1', '16.bj2.b2', '16.bq1.b1', '16.bq2.b1', '16.br1.b2', '16.br2.b1'], 'contains': ['64.j1.a1', '64.k1.b1', '64.l1.b1', '96.bi1.d1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [78, 48, 64, 256], 'label': '768.87077.32.bi1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bi1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918549
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a2', '16.bj1.b1', '16.bj2.b1', '16.bq1.b1', '16.bq2.b1', '16.br1.b1', '16.br2.b2'], 'contains': ['64.j1.a1', '64.k1.b1', '64.l1.b1', '96.bi1.d2'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 48, 64, 256], 'label': '768.87077.32.bi1.d2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bi1.d2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1.d2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918550
{'ambient': '768.87077', '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': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '16.d1.a1', '16.e1.a1', '16.k1.a1', '16.u1.a1', '16.bf1.a1', '16.bf1.b1', '16.bt1.a1', '16.cb1.a1', '16.cb1.b1', '16.ce1.a1', '24.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 256, 16, 452, 64, 384], 'label': '768.87077.8.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'normal_contains': ['16.a1.a1', '16.d1.a1', '16.e1.a1', '24.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918551
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.bs1.a1', '16.bt1.a1'], 'contains': ['64.m1.a1', '64.n1.a1', '64.p1.a1', '64.be1.a1', '64.be1.b1', '64.bf1.a1', '64.bf1.b1', '96.bj1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 80, 384, 256], 'label': '768.87077.32.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918552
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '16.bs1.a1', '16.bu1.a1'], 'contains': ['64.m1.a1', '64.o1.a1', '64.q1.a1', '64.bg1.a1', '64.bg1.d1', '64.bh1.b1', '64.bh1.c1', '96.bk1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 470, 80, 256], 'label': '768.87077.32.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '32.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918553
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '16.bs1.a1', '16.bu1.a2'], 'contains': ['64.m1.a1', '64.o1.a1', '64.q1.a1', '64.bg1.b1', '64.bg1.c1', '64.bh1.a1', '64.bh1.d1', '96.bk1.a2'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 390, 80, 256], 'label': '768.87077.32.bk1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '32.bk1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bk1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918554
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '16.bt1.a1'], 'contains': ['64.m1.a1', '64.r1.a1', '64.s1.a1', '64.bi1.a1', '64.bi1.b1', '64.bi1.c1', '64.bi1.d1', '96.bl1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 80, 256], 'label': '768.87077.32.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918555
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.bs1.a1', '16.bv1.a1'], 'contains': ['64.n1.a1', '64.o1.a1', '64.bj1.a1', '64.bq1.a1', '64.bq1.b1', '96.bm1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 80, 384, 256], 'label': '768.87077.32.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '32.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918556
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.bs1.a1', '16.bw1.a1'], 'contains': ['64.n1.a1', '64.q1.a1', '64.bk1.a1', '64.bm1.a1', '64.br1.a1', '96.bn1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454, 80, 384, 256], 'label': '768.87077.32.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '32.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918557
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.bt1.a1', '16.bx1.a1'], 'contains': ['64.n1.a1', '64.r1.a1', '64.bl1.a1', '64.bl1.b1', '64.bs1.a1', '64.bs1.a2', '96.bo1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 80, 384, 256], 'label': '768.87077.32.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '32.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918558
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '16.bt1.a1', '16.by1.a1'], 'contains': ['64.n1.a1', '64.s1.a1', '64.bn1.a1', '64.bt1.a1', '96.bp1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 80, 384, 256], 'label': '768.87077.32.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '32.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918559
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '16.bv1.a1', '16.bx1.a1'], 'contains': ['64.n1.a1', '64.t1.a1', '64.bo2.a1', '64.bu1.a1', '64.bu1.b1', '96.bq1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 80, 400, 256], 'label': '768.87077.32.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '32.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918560
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '16.bw1.a1', '16.bx1.a1'], 'contains': ['64.n1.a1', '64.t1.a1', '64.bo1.a1', '64.bo1.b1', '64.bu2.a1', '96.bq2.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 80, 384, 256], 'label': '768.87077.32.bq2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '32.bq2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bq2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918561
{'ambient': '768.87077', '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': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.l1.a1', '4.m1.a1'], 'contains': ['16.a1.a1', '16.f1.a1', '16.g1.a1', '16.m1.a1', '16.w1.a1', '16.cc1.a1', '16.cc1.b1', '16.cf1.a1', '24.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 16, 256, 2, 64, 384], 'label': '768.87077.8.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '16.f1.a1', '16.g1.a1', '24.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918562
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.p1.a1', '16.bv1.a1', '16.by1.a1'], 'contains': ['64.n1.a1', '64.bv1.a1', '96.br1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [418, 384, 464, 256], 'label': '768.87077.32.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.n1.a1', 'old_label': '32.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918563
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.q1.a1', '16.bw1.a1', '16.by1.a1'], 'contains': ['64.n1.a1', '64.bp1.a1', '96.bs1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40, 80, 400, 256], 'label': '768.87077.32.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.p1.a1', 'old_label': '32.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918564
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '16.bs1.a1'], 'contains': ['64.o1.a1', '64.p1.a1', '64.q1.a1', '64.bw1.a1', '64.bw1.b1', '64.bx1.a1', '64.bx1.b1', '96.bt1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 390, 80, 256], 'label': '768.87077.32.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918565
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.u1.a1', '16.bt1.a1'], 'contains': ['64.p1.a1', '64.r1.a1', '64.s1.a1', '64.by1.a1', '64.by1.a2', '64.by1.b1', '64.by1.b2', '96.bu1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [394, 452, 80, 256], 'label': '768.87077.32.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918566
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.a1', '16.bu1.a1', '16.bu1.a2'], 'contains': ['64.q1.a1', '64.ca1.a1', '64.ca1.b1', '96.bv1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 80, 256, 390], 'label': '768.87077.32.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918567
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.b1', '16.bu1.a1', '16.bu1.a2'], 'contains': ['64.q1.a1', '64.ca1.c1', '64.ca1.d1', '96.bv1.b1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [41, 80, 256, 6], 'label': '768.87077.32.bv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.bv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918568
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '16.bx1.a1'], 'contains': ['64.r1.a1', '64.t1.a1', '64.bz1.c1', '64.bz1.d1', '64.bz2.a1', '64.bz2.a2', '96.bw1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 468, 80, 256], 'label': '768.87077.32.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918569
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '16.bx1.a1'], 'contains': ['64.r1.a1', '64.t1.a1', '64.bz1.a1', '64.bz1.b1', '64.bz2.b1', '64.bz2.b2', '96.bw1.a2'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 452, 80, 256], 'label': '768.87077.32.bw1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.bw1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bw1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918570
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.bz1.a1', '16.ca1.a1', '16.cb1.a1', '16.cb1.b1', '16.cc1.a1', '16.cc1.b1'], 'contains': ['64.c1.a1', '64.u1.a1', '64.w1.a1', '64.be1.a1', '64.be1.b1', '96.bx1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 384, 16, 256], 'label': '768.87077.32.bx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.bx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918571
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.cd1.a1', '16.cd1.b1', '16.ce1.a1', '16.cf1.a1'], 'contains': ['64.d1.a1', '64.u1.a1', '64.w1.a1', '64.bf1.a1', '64.bf1.b1', '96.by1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 448, 16, 256], 'label': '768.87077.32.by1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.by1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.by1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918572
{'ambient': '768.87077', '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': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.a1', '4.e1.a1'], 'contains': ['16.b1.a1', '16.d1.a1', '16.g1.a1', '16.s1.a1', '16.cj1.a1', '16.cj1.b1', '16.cu1.a1', '16.cu1.b1', '24.d1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 16, 256, 452, 64, 384], 'label': '768.87077.8.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': ['4.a1.a1', '4.d1.a1', '4.e1.a1'], 'normal_contains': ['16.d1.a1', '16.b1.a1', '16.g1.a1', '24.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918573
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '16.bz1.a1', '16.cd1.a1', '16.cg1.a1', '16.cg1.b1'], 'contains': ['64.u1.a1', '64.v1.a1', '64.x1.a1', '64.bg1.a1', '64.bg1.c1', '96.bz1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 454, 16, 256], 'label': '768.87077.32.bz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.bz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918574
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '16.bz1.a1', '16.cd1.b1', '16.cg1.c1', '16.cg1.d1'], 'contains': ['64.u1.a1', '64.v1.b1', '64.x1.a1', '64.bg1.b1', '64.bg1.d1', '96.bz1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 70, 16, 256], 'label': '768.87077.32.bz1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.bz1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bz1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918575
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '16.ca1.a1', '16.cd1.a1', '16.ch1.a1', '16.ch1.b1', '16.ci1.a1', '16.ci1.b1'], 'contains': ['64.u1.a1', '64.v1.a1', '64.z1.a1', '64.bh1.a1', '64.bh1.c1', '96.ca1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28, 6, 16, 256], 'label': '768.87077.32.ca1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.ca1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ca1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918576
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '16.ca1.a1', '16.cd1.b1', '16.ch1.c1', '16.ch1.d1', '16.ci1.c1', '16.ci1.d1'], 'contains': ['64.u1.a1', '64.v1.b1', '64.z1.a1', '64.bh1.b1', '64.bh1.d1', '96.ca1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [412, 390, 16, 256], 'label': '768.87077.32.ca1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.ca1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ca1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918577
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '16.cb1.a1', '16.ce1.a1', '16.cg1.a1', '16.cg1.c1', '16.ch1.a1', '16.ch1.c1'], 'contains': ['64.u1.a1', '64.y1.a1', '64.ba1.a1', '64.bi1.a1', '64.bi1.c1', '96.cb1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 388, 16, 256], 'label': '768.87077.32.cb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918578
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '16.cb1.b1', '16.ce1.a1', '16.cg1.b1', '16.cg1.d1', '16.ch1.b1', '16.ch1.d1'], 'contains': ['64.u1.a1', '64.y1.b1', '64.ba1.a1', '64.bi1.b1', '64.bi1.d1', '96.cb1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 452, 16, 256], 'label': '768.87077.32.cb1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cb1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cb1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918579
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.m1.a1', '16.cc1.a1', '16.cf1.a1', '16.cg1.b1', '16.cg1.d1', '16.ch1.a1', '16.ch1.c1'], 'contains': ['64.u1.a1', '64.bc1.a1', '64.bd1.a1', '96.cc1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 2, 256, 16], 'label': '768.87077.32.cc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918580
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.m1.a1', '16.cc1.b1', '16.cf1.a1', '16.cg1.a1', '16.cg1.c1', '16.ch1.b1', '16.ch1.d1'], 'contains': ['64.u1.a1', '64.bc1.b1', '64.bd1.a1', '96.cc1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 66, 256, 16], 'label': '768.87077.32.cc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918581
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.bz1.a1', '16.ca1.a1', '16.cj1.a1', '16.cj1.b1', '16.ck1.a1', '16.ck1.b1'], 'contains': ['64.c1.a1', '64.v1.a1', '64.v1.b1', '64.bj1.a1', '96.cd1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 384, 16, 256], 'label': '768.87077.32.cd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.cd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918582
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '16.cb1.a1', '16.cb1.b1', '16.ck1.a1', '16.ck1.b1', '16.cl1.a1', '16.cp1.a1'], 'contains': ['64.c1.a1', '64.ba1.a1', '64.bn1.a1', '96.ce1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [478, 384, 16, 256], 'label': '768.87077.32.ce1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.ce1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ce1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918583
{'ambient': '768.87077', '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': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.n1.a1', '4.o1.a1'], 'contains': ['16.b1.a1', '16.e1.a1', '16.f1.a1', '16.t1.a1', '16.ck1.a1', '16.ck1.b1', '16.cv1.a1', '16.cv1.b1', '24.e1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [476, 16, 256, 2, 64, 384], 'label': '768.87077.8.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.b1.a1', '16.e1.a1', '16.f1.a1', '24.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918584
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '16.cm1.a1', '16.cn1.a1', '16.cn1.b1', '16.cq1.a1', '16.cs1.a1', '16.cs1.b1'], 'contains': ['64.c1.a1', '64.bb1.a1', '64.bo1.a1', '64.bo1.b1', '64.bo2.a1', '96.cf1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 384, 16, 256], 'label': '768.87077.32.cf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '32.cf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918585
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '16.cc1.a1', '16.cc1.b1', '16.cj1.a1', '16.cj1.b1', '16.cl1.a1', '16.cp1.a1'], 'contains': ['64.c1.a1', '64.bd1.a1', '96.cg1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 384, 256, 16], 'label': '768.87077.32.cg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.cg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918586
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.q1.a1', '16.cm1.a1', '16.co1.a1', '16.co1.b1', '16.cq1.a1', '16.cs1.a1', '16.cs1.b1'], 'contains': ['64.c1.a1', '64.bp1.a1', '96.ch1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [40, 16, 400, 256], 'label': '768.87077.32.ch1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '32.ch1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ch1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918587
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.cd1.a1', '16.cd1.b1', '16.cx1.a1', '16.cy1.a1', '16.cz1.a1', '16.cz1.b1'], 'contains': ['64.d1.a1', '64.x1.a1', '64.z1.a1', '64.br1.a1', '96.ci1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [454, 448, 16, 256], 'label': '768.87077.32.ci1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.ci1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ci1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918588
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.ce1.a1', '16.cu1.a1', '16.cu1.b1', '16.cx1.a1', '16.da1.a1', '16.db1.a1'], 'contains': ['64.d1.a1', '64.y1.a1', '64.y1.b1', '64.bs1.a1', '64.bs1.a2', '96.cj1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [452, 448, 16, 256], 'label': '768.87077.32.cj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.cj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918589
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '16.ce1.a1', '16.cv1.a1', '16.cv1.b1', '16.cy1.a1'], 'contains': ['64.d1.a1', '64.ba1.a1', '64.bt1.a1', '96.ck1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [478, 448, 16, 256], 'label': '768.87077.32.ck1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '32.ck1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ck1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918590
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '16.cw1.a1', '16.cw1.b1', '16.da1.a1', '16.dc1.a1', '16.dc1.a2'], 'contains': ['64.d1.a1', '64.bb1.a1', '64.bu1.a1', '64.bu1.b1', '64.bu2.a1', '96.cl1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 448, 16, 256], 'label': '768.87077.32.cl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '32.cl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918591
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '16.cf1.a1', '16.cv1.a1', '16.cv1.b1', '16.cx1.a1', '16.dd1.a1', '16.dd1.b1'], 'contains': ['64.d1.a1', '64.bc1.a1', '64.bc1.b1', '96.cm1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 448, 256, 16], 'label': '768.87077.32.cm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '32.cm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918592
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '16.cf1.a1', '16.cu1.a1', '16.cu1.b1', '16.cy1.a1', '16.dc1.a1', '16.dc1.a2'], 'contains': ['64.d1.a1', '64.bd1.a1', '96.cn1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 448, 256, 16], 'label': '768.87077.32.cn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.cn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918593
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.p1.a1', '16.cw1.a1', '16.cw1.b1', '16.db1.a1', '16.dc1.a1', '16.dc1.a2'], 'contains': ['64.d1.a1', '64.bv1.a1', '96.co1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [418, 16, 464, 256], 'label': '768.87077.32.co1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '32.co1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.co1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918594
{'ambient': '768.87077', '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': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.f1.a1', '4.g1.a1', '4.g1.b1', '4.h1.a1', '4.i1.a1', '4.i1.b1'], 'contains': ['16.c1.a1', '16.d1.a1', '16.f1.a1', '16.h1.a1', '16.h1.b1', '16.i1.a1', '16.i1.b1', '16.x1.a1', '16.cx1.a1', '24.f1.a1'], 'core': '8.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 16, 256, 452, 64, 384], 'label': '768.87077.8.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': ['4.a1.a1', '4.f1.a1', '4.g1.b1', '4.g1.a1', '4.h1.a1', '4.i1.a1', '4.i1.b1'], 'normal_contains': ['16.d1.a1', '16.c1.a1', '16.f1.a1', '16.h1.b1', '16.h1.a1', '16.i1.b1', '16.i1.a1', '24.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918595
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '16.bz1.a1', '16.cd1.a1', '16.de1.a1', '16.de1.b1'], 'contains': ['64.v1.a1', '64.w1.a1', '64.x1.a1', '64.bw1.a1', '96.cp1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 70, 16, 256], 'label': '768.87077.32.cp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.cp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918596
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '16.bz1.a1', '16.cd1.b1', '16.de1.c1', '16.de1.d1'], 'contains': ['64.v1.b1', '64.w1.a1', '64.x1.a1', '64.bw1.b1', '96.cp1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 454, 16, 256], 'label': '768.87077.32.cp1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.cp1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cp1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918597
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '16.ca1.a1', '16.cd1.a1', '16.df1.a1', '16.df1.b1', '16.dg1.a1', '16.dg1.b1'], 'contains': ['64.v1.a1', '64.w1.a1', '64.z1.a1', '64.bx1.a1', '96.cq1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28, 390, 16, 256], 'label': '768.87077.32.cq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.cq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918598
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '16.ca1.a1', '16.cd1.b1', '16.df1.c1', '16.df1.d1', '16.dg1.c1', '16.dg1.d1'], 'contains': ['64.v1.b1', '64.w1.a1', '64.z1.a1', '64.bx1.b1', '96.cq1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [412, 6, 16, 256], 'label': '768.87077.32.cq1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '32.cq1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cq1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918599
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1', '16.cg1.a1', '16.ch1.a1', '16.cj1.a1', '16.cu1.a1', '16.de1.a1', '16.df1.a1'], 'contains': ['64.v1.a1', '64.y1.a1', '64.bd1.a1', '96.cr1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 388, 256, 16], 'label': '768.87077.32.cr1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cr1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cr1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918600
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1', '16.cg1.b1', '16.ch1.b1', '16.cj1.b1', '16.cu1.a1', '16.de1.b1', '16.df1.b1'], 'contains': ['64.v1.a1', '64.y1.b1', '64.bd1.a1', '96.cr1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 452, 256, 16], 'label': '768.87077.32.cr1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cr1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cr1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918601
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1', '16.cg1.c1', '16.ch1.c1', '16.cj1.a1', '16.cu1.b1', '16.de1.c1', '16.df1.c1'], 'contains': ['64.v1.b1', '64.y1.a1', '64.bd1.a1', '96.cr1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 388, 256, 16], 'label': '768.87077.32.cr1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cr1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cr1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918602
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1', '16.cg1.d1', '16.ch1.d1', '16.cj1.b1', '16.cu1.b1', '16.de1.d1', '16.df1.d1'], 'contains': ['64.v1.b1', '64.y1.b1', '64.bd1.a1', '96.cr1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 452, 256, 16], 'label': '768.87077.32.cr1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cr1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cr1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918603
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.t1.a1', '16.cg1.b1', '16.ch1.a1', '16.ck1.a1', '16.cv1.a1', '16.de1.b1', '16.df1.a1'], 'contains': ['64.v1.a1', '64.ba1.a1', '64.bc1.a1', '96.cs1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 2, 256, 16], 'label': '768.87077.32.cs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918604
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.t1.a1', '16.cg1.a1', '16.ch1.b1', '16.ck1.b1', '16.cv1.a1', '16.de1.a1', '16.df1.b1'], 'contains': ['64.v1.a1', '64.ba1.a1', '64.bc1.b1', '96.cs1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 66, 256, 16], 'label': '768.87077.32.cs1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cs1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cs1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918605
{'ambient': '768.87077', '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': '192.a1.a1', 'complements': ['384.l1.a1', '384.g1.a1', '384.g1.b1', '384.d1.a1', '384.d1.b1', '384.h1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.f1.a1', '4.g1.a1', '4.i1.b1', '4.s1.c1', '4.s1.d1', '6.d1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 68, 400, 40, 390, 256, 16, 64], 'label': '768.87077.2.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.f1.a1', '4.g1.a1', '4.i1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918606
{'ambient': '768.87077', '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': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.p1.a1', '4.q1.a1'], 'contains': ['16.c1.a1', '16.e1.a1', '16.g1.a1', '16.y1.a1', '16.cl1.a1', '16.cp1.a1', '16.cy1.a1', '24.g1.a1'], 'core': '8.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 16, 256, 454, 64, 384], 'label': '768.87077.8.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.c1.a1', '16.e1.a1', '16.g1.a1', '24.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918607
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.t1.a1', '16.cg1.d1', '16.ch1.c1', '16.ck1.a1', '16.cv1.b1', '16.de1.d1', '16.df1.c1'], 'contains': ['64.v1.b1', '64.ba1.a1', '64.bc1.a1', '96.cs1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 2, 256, 16], 'label': '768.87077.32.cs1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cs1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cs1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918608
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.t1.a1', '16.cg1.c1', '16.ch1.d1', '16.ck1.b1', '16.cv1.b1', '16.de1.c1', '16.df1.d1'], 'contains': ['64.v1.b1', '64.ba1.a1', '64.bc1.b1', '96.cs1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 66, 256, 16], 'label': '768.87077.32.cs1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cs1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cs1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918609
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.u1.a1', '16.cb1.a1', '16.ce1.a1', '16.de1.a1', '16.de1.c1', '16.df1.a1', '16.df1.c1'], 'contains': ['64.w1.a1', '64.y1.a1', '64.ba1.a1', '64.by1.a1', '64.by1.a2', '96.ct1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 388, 16, 256], 'label': '768.87077.32.ct1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.ct1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ct1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918610
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.u1.a1', '16.cb1.b1', '16.ce1.a1', '16.de1.b1', '16.de1.d1', '16.df1.b1', '16.df1.d1'], 'contains': ['64.w1.a1', '64.y1.b1', '64.ba1.a1', '64.by1.b1', '64.by1.b2', '96.ct1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 452, 16, 256], 'label': '768.87077.32.ct1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.ct1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ct1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918611
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.w1.a1', '16.cc1.a1', '16.cf1.a1', '16.de1.b1', '16.de1.d1', '16.df1.a1', '16.df1.c1'], 'contains': ['64.w1.a1', '64.bc1.a1', '64.bd1.a1', '96.cu1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 2, 256, 16], 'label': '768.87077.32.cu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918612
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.w1.a1', '16.cc1.b1', '16.cf1.a1', '16.de1.a1', '16.de1.c1', '16.df1.b1', '16.df1.d1'], 'contains': ['64.w1.a1', '64.bc1.b1', '64.bd1.a1', '96.cu1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 66, 256, 16], 'label': '768.87077.32.cu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918613
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '16.x1.a1', '16.cg1.a1', '16.cg1.c1', '16.cx1.a1', '16.de1.a1', '16.de1.c1'], 'contains': ['64.x1.a1', '64.y1.a1', '64.bc1.b1', '96.cv1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [66, 388, 256, 16], 'label': '768.87077.32.cv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918614
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.b1', '16.x1.a1', '16.cg1.b1', '16.cg1.d1', '16.cx1.a1', '16.de1.b1', '16.de1.d1'], 'contains': ['64.x1.a1', '64.y1.b1', '64.bc1.a1', '96.cv1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 452, 256, 16], 'label': '768.87077.32.cv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918615
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.y1.a1', '16.cg1.a1', '16.cg1.d1', '16.cl1.a1', '16.cy1.a1', '16.de1.b1', '16.de1.c1'], 'contains': ['64.x1.a1', '64.ba1.a1', '64.bd1.a1', '96.cw1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 70, 256, 16], 'label': '768.87077.32.cw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918616
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.y1.a1', '16.cg1.b1', '16.cg1.c1', '16.cl1.a1', '16.cy1.a1', '16.de1.a1', '16.de1.d1'], 'contains': ['64.x1.a1', '64.ba1.a1', '64.bd1.a1', '96.cw1.a2'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 454, 256, 16], 'label': '768.87077.32.cw1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cw1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cw1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918617
{'ambient': '768.87077', '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': '48.d1.a1', 'complements': ['96.dh1.d1', '96.dh1.h1', '96.dh1.b1', '96.dh1.f1', '96.dh1.c1', '96.dh1.g1', '96.dh1.a1', '96.dh1.e1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.d1.a1', '4.f1.a1'], 'contains': ['16.d1.a1', '16.n1.a1', '16.ba1.a1', '16.bo1.a1', '16.bo1.b1', '16.bx1.a1', '16.cn1.a1', '16.cn1.b1', '16.da1.a1', '24.t1.a1'], 'core': '8.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [426, 256, 16, 452, 64, 384], 'label': '768.87077.8.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': ['4.b1.a1', '4.f1.a1', '4.d1.a1'], 'normal_contains': ['16.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918618
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '16.x1.a1', '16.ch1.a1', '16.ch1.c1', '16.cx1.a1', '16.df1.a1', '16.df1.c1'], 'contains': ['64.y1.a1', '64.z1.a1', '64.bc1.a1', '96.cx1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 388, 256, 16], 'label': '768.87077.32.cx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918619
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.b1', '16.x1.a1', '16.ch1.b1', '16.ch1.d1', '16.cx1.a1', '16.df1.b1', '16.df1.d1'], 'contains': ['64.y1.b1', '64.z1.a1', '64.bc1.b1', '96.cx1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [66, 452, 256, 16], 'label': '768.87077.32.cx1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cx1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cx1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918620
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '16.cn1.a1', '16.da1.a1'], 'contains': ['64.y1.a1', '64.bb1.a1', '64.bz1.a1', '64.bz1.b1', '64.bz2.a1', '64.bz2.a2', '96.cy1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 388, 16, 256], 'label': '768.87077.32.cy1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.cy1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cy1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918621
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '16.cn1.b1', '16.da1.a1'], 'contains': ['64.y1.b1', '64.bb1.a1', '64.bz1.c1', '64.bz1.d1', '64.bz2.b1', '64.bz2.b2', '96.cy1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 452, 16, 256], 'label': '768.87077.32.cy1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.cy1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cy1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918622
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.y1.a1', '16.ch1.a1', '16.ch1.d1', '16.cp1.a1', '16.cy1.a1', '16.df1.b1', '16.df1.c1'], 'contains': ['64.z1.a1', '64.ba1.a1', '64.bd1.a1', '96.cz1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 6, 256, 16], 'label': '768.87077.32.cz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918623
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.y1.a1', '16.ch1.b1', '16.ch1.c1', '16.cp1.a1', '16.cy1.a1', '16.df1.a1', '16.df1.d1'], 'contains': ['64.z1.a1', '64.ba1.a1', '64.bd1.a1', '96.cz1.a2'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 390, 256, 16], 'label': '768.87077.32.cz1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '32.cz1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cz1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918624
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.a1', '16.ci1.a1', '16.ci1.c1', '16.cr1.a1', '16.cz1.a1', '16.dg1.a1', '16.dg1.c1'], 'contains': ['64.z1.a1', '64.ca1.a1', '96.da1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 16, 256, 390], 'label': '768.87077.32.da1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '32.da1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.da1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918625
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.a1', '16.ci1.b1', '16.ci1.d1', '16.cr1.b1', '16.cz1.a1', '16.dg1.b1', '16.dg1.d1'], 'contains': ['64.z1.a1', '64.ca1.b1', '96.da1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [421, 16, 256, 6], 'label': '768.87077.32.da1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '32.da1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.da1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918626
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.b1', '16.ci1.a1', '16.ci1.d1', '16.cr1.c1', '16.cz1.b1', '16.dg1.b1', '16.dg1.c1'], 'contains': ['64.z1.a1', '64.ca1.c1', '96.da1.c1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [41, 16, 256, 6], 'label': '768.87077.32.da1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '32.da1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.da1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918627
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.b1', '16.ci1.b1', '16.ci1.c1', '16.cr1.d1', '16.cz1.b1', '16.dg1.a1', '16.dg1.d1'], 'contains': ['64.z1.a1', '64.ca1.d1', '96.da1.d1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [105, 16, 256, 6], 'label': '768.87077.32.da1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '32.da1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.da1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918628
{'ambient': '768.87077', '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': '48.d1.a1', 'complements': ['96.dh1.e1', '96.dh1.a1', '96.dh1.g1', '96.dh1.c1', '96.dh1.f1', '96.dh1.b1', '96.dh1.h1', '96.dh1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.e1.a1', '4.h1.a1'], 'contains': ['16.d1.a1', '16.o1.a1', '16.bb1.a1', '16.bp1.a1', '16.bp1.b1', '24.u1.a1'], 'core': '8.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [32, 256, 64, 452, 384, 16], 'label': '768.87077.8.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': ['4.b1.a1', '4.h1.a1', '4.e1.a1'], 'normal_contains': ['16.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918629
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bd1.a1', '16.ct1.a1', '16.dd1.a1'], 'contains': ['64.bc1.a1', '96.db1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1, 2, 16, 256], 'label': '768.87077.32.db1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bc1.a1', 'old_label': '32.db1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.db1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918630
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bd1.b1', '16.ct1.b1', '16.dd1.b1'], 'contains': ['64.bc1.b1', '96.db1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [9, 82, 16, 256], 'label': '768.87077.32.db1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bc1.b1', 'old_label': '32.db1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.db1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918631
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.a1', '16.bs1.a1', '16.bz1.a1'], 'contains': ['64.be1.a1', '64.bg1.a1', '64.bg1.b1', '64.bj1.a1', '64.bk1.a1', '64.bw1.a1', '64.bw1.b1', '96.dc1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [460, 454, 384, 256], 'label': '768.87077.32.dc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.dc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918632
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.b1', '16.bs1.a1', '16.bz1.a1'], 'contains': ['64.be1.b1', '64.bg1.c1', '64.bg1.d1', '64.bj1.a1', '64.bk1.a1', '64.bw1.a1', '64.bw1.b1', '96.dc1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 454, 384, 256], 'label': '768.87077.32.dc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.dc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918633
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.a1', '16.bs1.a1', '16.ca1.a1'], 'contains': ['64.be1.a1', '64.bh1.a1', '64.bh1.b1', '64.bj1.a1', '64.bm1.a1', '64.bx1.a1', '64.bx1.b1', '96.dd1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [396, 390, 384, 256], 'label': '768.87077.32.dd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.dd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918634
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.b1', '16.bs1.a1', '16.ca1.a1'], 'contains': ['64.be1.b1', '64.bh1.c1', '64.bh1.d1', '64.bj1.a1', '64.bm1.a1', '64.bx1.a1', '64.bx1.b1', '96.dd1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [412, 390, 384, 256], 'label': '768.87077.32.dd1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.dd1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dd1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918635
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.a1', '16.bt1.a1', '16.cb1.a1'], 'contains': ['64.be1.a1', '64.bi1.a1', '64.bl1.a1', '64.bn1.a1', '64.by1.a1', '64.by1.a2', '96.de1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 388, 384, 256], 'label': '768.87077.32.de1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.de1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.de1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918636
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.a1', '16.bt1.a1', '16.cb1.b1'], 'contains': ['64.be1.a1', '64.bi1.b1', '64.bl1.b1', '64.bn1.a1', '64.by1.b1', '64.by1.b2', '96.de1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 384, 256], 'label': '768.87077.32.de1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.de1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.de1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918637
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.b1', '16.bt1.a1', '16.cb1.a1'], 'contains': ['64.be1.b1', '64.bi1.c1', '64.bl1.a1', '64.bn1.a1', '64.by1.a1', '64.by1.a2', '96.de1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 388, 384, 256], 'label': '768.87077.32.de1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.de1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.de1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918638
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.b1', '16.bt1.a1', '16.cb1.b1'], 'contains': ['64.be1.b1', '64.bi1.d1', '64.bl1.b1', '64.bn1.a1', '64.by1.b1', '64.by1.b2', '96.de1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 452, 384, 256], 'label': '768.87077.32.de1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.de1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.de1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918639
{'ambient': '768.87077', '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': '96.b1.a1', 'complements': ['96.dh1.d1', '96.dh1.h1', '96.dh1.f1', '96.dh1.b1', '96.dh1.c1', '96.dh1.g1', '96.dh1.e1', '96.dh1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.d1.a1', '4.h1.a1'], 'contains': ['16.d1.a1', '16.p1.a1', '16.db1.a1', '24.v1.a1'], 'core': '8.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [418, 256, 16, 452, 384, 464], 'label': '768.87077.8.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': ['4.c1.a1', '4.h1.a1', '4.d1.a1'], 'normal_contains': ['16.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918640
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.a1', '16.bs1.a1', '16.cd1.a1'], 'contains': ['64.bf1.a1', '64.bg1.a1', '64.bh1.a1', '64.bq1.a1', '64.br1.a1', '64.bw1.a1', '64.bx1.a1', '96.df1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [460, 454, 448, 256], 'label': '768.87077.32.df1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.df1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.df1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918641
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.a1', '16.bs1.a1', '16.cd1.b1'], 'contains': ['64.bf1.a1', '64.bg1.b1', '64.bh1.b1', '64.bq1.b1', '64.br1.a1', '64.bw1.b1', '64.bx1.b1', '96.df1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [76, 454, 448, 256], 'label': '768.87077.32.df1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.df1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.df1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918642
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.b1', '16.bs1.a1', '16.cd1.a1'], 'contains': ['64.bf1.b1', '64.bg1.c1', '64.bh1.c1', '64.bq1.a1', '64.br1.a1', '64.bw1.a1', '64.bx1.a1', '96.df1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 6, 448, 256], 'label': '768.87077.32.df1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.df1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.df1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918643
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.b1', '16.bs1.a1', '16.cd1.b1'], 'contains': ['64.bf1.b1', '64.bg1.d1', '64.bh1.d1', '64.bq1.b1', '64.br1.a1', '64.bw1.b1', '64.bx1.b1', '96.df1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 454, 448, 256], 'label': '768.87077.32.df1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '32.df1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.df1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918644
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.a1', '16.bt1.a1', '16.ce1.a1'], 'contains': ['64.bf1.a1', '64.bi1.a1', '64.bi1.b1', '64.bs1.a1', '64.bt1.a1', '64.by1.a2', '64.by1.b1', '96.dg1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 448, 256], 'label': '768.87077.32.dg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.dg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918645
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.a1', '16.bt1.a1', '16.ce1.a1'], 'contains': ['64.bf1.a1', '64.bi1.a1', '64.bi1.b1', '64.bs1.a2', '64.bt1.a1', '64.by1.a1', '64.by1.b2', '96.dg1.a2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 464, 256], 'label': '768.87077.32.dg1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.dg1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dg1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918646
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.b1', '16.bt1.a1', '16.ce1.a1'], 'contains': ['64.bf1.b1', '64.bi1.c1', '64.bi1.d1', '64.bs1.a1', '64.bt1.a1', '64.by1.a1', '64.by1.b2', '96.dg1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 452, 448, 256], 'label': '768.87077.32.dg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.dg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918647
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.b1', '16.bt1.a1', '16.ce1.a1'], 'contains': ['64.bf1.b1', '64.bi1.c1', '64.bi1.d1', '64.bs1.a2', '64.bt1.a1', '64.by1.a2', '64.by1.b1', '96.dg1.b2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 452, 464, 256], 'label': '768.87077.32.dg1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '32.dg1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dg1.b2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918648
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.a1', '16.bu1.a2', '16.ci1.a1'], 'contains': ['64.bh1.a1', '64.ca1.a1', '64.ca1.c1', '96.dh1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [485, 12, 256, 6], 'label': '768.87077.32.dh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.dh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918649
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.a1', '16.bu1.a2', '16.ci1.b1'], 'contains': ['64.bh1.a1', '64.ca1.b1', '64.ca1.d1', '96.dh1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [421, 12, 256, 6], 'label': '768.87077.32.dh1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.dh1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dh1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918650
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': ['96.dh1.h1', '96.dh1.d1', '96.dh1.b1', '96.dh1.f1', '96.dh1.g1', '96.dh1.c1', '96.dh1.a1', '96.dh1.e1'], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.e1.a1', '4.f1.a1'], 'contains': ['16.d1.a1', '16.q1.a1', '16.co1.a1', '16.co1.b1', '24.w1.a1'], 'core': '8.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [40, 256, 16, 452, 64, 400], 'label': '768.87077.8.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': ['4.c1.a1', '4.f1.a1', '4.e1.a1'], 'normal_contains': ['16.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918651
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.a1', '16.bu1.a1', '16.ci1.c1'], 'contains': ['64.bh1.b1', '64.ca1.a1', '64.ca1.d1', '96.dh1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 396, 256, 390], 'label': '768.87077.32.dh1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.dh1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dh1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918652
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.a1', '16.bu1.a1', '16.ci1.d1'], 'contains': ['64.bh1.b1', '64.ca1.b1', '64.ca1.c1', '96.dh1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [97, 396, 256, 390], 'label': '768.87077.32.dh1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.dh1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dh1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918653
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.b1', '16.bu1.a1', '16.ci1.a1'], 'contains': ['64.bh1.c1', '64.ca1.a1', '64.ca1.c1', '96.dh1.e1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [485, 28, 256, 6], 'label': '768.87077.32.dh1.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.dh1.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dh1.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918654
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.b1', '16.bu1.a1', '16.ci1.b1'], 'contains': ['64.bh1.c1', '64.ca1.b1', '64.ca1.d1', '96.dh1.f1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [421, 28, 256, 6], 'label': '768.87077.32.dh1.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.dh1.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dh1.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918655
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.b1', '16.bu1.a2', '16.ci1.c1'], 'contains': ['64.bh1.d1', '64.ca1.a1', '64.ca1.d1', '96.dh1.g1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 412, 256, 390], 'label': '768.87077.32.dh1.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.dh1.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dh1.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918656
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.b1', '16.bu1.a2', '16.ci1.d1'], 'contains': ['64.bh1.d1', '64.ca1.b1', '64.ca1.c1', '96.dh1.h1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [97, 412, 256, 390], 'label': '768.87077.32.dh1.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '32.dh1.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dh1.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918657
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bm1.a1', '16.bw1.a1', '16.cm1.a1'], 'contains': ['64.bk1.a1', '64.bo1.a1', '64.bp1.a1', '96.di1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [56, 454, 400, 256], 'label': '768.87077.32.di1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.u1.a1', 'old_label': '32.di1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.di1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918658
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bm1.b1', '16.bw1.a1', '16.cm1.a1'], 'contains': ['64.bk1.a1', '64.bo1.b1', '64.bp1.a1', '96.di1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40, 454, 400, 256], 'label': '768.87077.32.di1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.u1.a1', 'old_label': '32.di1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.di1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918659
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.a1', '16.bx1.a1', '16.cn1.a1'], 'contains': ['64.bl1.a1', '64.bo1.b1', '64.bo2.a1', '64.bz1.b1', '64.bz2.a1', '64.bz2.a2', '96.dj1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 388, 384, 256], 'label': '768.87077.32.dj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.dj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918660
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.b1', '16.bx1.a1', '16.cn1.a1'], 'contains': ['64.bl1.a1', '64.bo1.a1', '64.bo2.a1', '64.bz1.a1', '64.bz2.a1', '64.bz2.a2', '96.dj1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 388, 384, 256], 'label': '768.87077.32.dj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.dj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918661
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': ['96.bi1.a2', '96.bi1.c2', '96.bi1.d2', '96.bi1.b2', '96.bi1.c1', '96.bi1.a1', '96.bi1.b1', '96.bi1.d1', '96.t1.a1', '96.t1.d1', '96.t1.b1', '96.t1.c1', '96.be1.a1', '96.be1.c1', '96.be1.d1', '96.be1.b1', '96.dl1.d1', '96.dl1.c1', '96.dl1.b1', '96.dl1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '4.r1.a1', '4.s1.a1'], 'contains': ['16.i1.a1', '16.cr1.c1', '24.h1.a1'], 'core': '8.l1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [41, 16, 400, 388, 256, 6], 'label': '768.87077.8.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.a1', 'normal_contained_in': ['4.g1.b1'], 'normal_contains': ['16.i1.a1', '24.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918662
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.a1', '16.bx1.a1', '16.cn1.b1'], 'contains': ['64.bl1.b1', '64.bo1.b1', '64.bo2.a1', '64.bz1.d1', '64.bz2.b1', '64.bz2.b2', '96.dj1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 452, 384, 256], 'label': '768.87077.32.dj1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.dj1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dj1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918663
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.b1', '16.bx1.a1', '16.cn1.b1'], 'contains': ['64.bl1.b1', '64.bo1.a1', '64.bo2.a1', '64.bz1.c1', '64.bz2.b1', '64.bz2.b2', '96.dj1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 452, 384, 256], 'label': '768.87077.32.dj1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.dj1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dj1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918664
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bm1.a1', '16.bw1.a1', '16.cq1.a1'], 'contains': ['64.bm1.a1', '64.bo1.a1', '64.bp1.a1', '96.dk1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [56, 390, 400, 256], 'label': '768.87077.32.dk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.u1.a1', 'old_label': '32.dk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918665
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bm1.b1', '16.bw1.a1', '16.cq1.a1'], 'contains': ['64.bm1.a1', '64.bo1.b1', '64.bp1.a1', '96.dk1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40, 390, 400, 256], 'label': '768.87077.32.dk1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.u1.a1', 'old_label': '32.dk1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dk1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918666
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bk1.a1', '16.bv1.a1', '16.cw1.a1'], 'contains': ['64.bq1.a1', '64.bu1.a1', '64.bv1.a1', '96.dl1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 418, 464, 256], 'label': '768.87077.32.dl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.s1.a1', 'old_label': '32.dl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918667
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bk1.b1', '16.bv1.a1', '16.cw1.a1'], 'contains': ['64.bq1.a1', '64.bu1.b1', '64.bv1.a1', '96.dl1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [460, 418, 464, 256], 'label': '768.87077.32.dl1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.s1.a1', 'old_label': '32.dl1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dl1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918668
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bk1.a1', '16.bv1.a1', '16.cw1.b1'], 'contains': ['64.bq1.b1', '64.bu1.a1', '64.bv1.a1', '96.dl1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [76, 418, 464, 256], 'label': '768.87077.32.dl1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.s1.a1', 'old_label': '32.dl1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dl1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918669
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bk1.b1', '16.bv1.a1', '16.cw1.b1'], 'contains': ['64.bq1.b1', '64.bu1.b1', '64.bv1.a1', '96.dl1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 418, 464, 256], 'label': '768.87077.32.dl1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.s1.a1', 'old_label': '32.dl1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dl1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918670
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.a1', '16.bx1.a1', '16.da1.a1'], 'contains': ['64.bs1.a1', '64.bu1.b1', '64.bu2.a1', '64.bz1.b1', '64.bz1.d1', '64.bz2.a1', '64.bz2.b2', '96.dm1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 452, 448, 256], 'label': '768.87077.32.dm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.dm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918671
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.a1', '16.bx1.a1', '16.da1.a1'], 'contains': ['64.bs1.a2', '64.bu1.b1', '64.bu2.a1', '64.bz1.b1', '64.bz1.d1', '64.bz2.a2', '64.bz2.b1', '96.dm1.a2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 452, 464, 256], 'label': '768.87077.32.dm1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.dm1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dm1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918672
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': ['96.bi1.a2', '96.bi1.c2', '96.bi1.d2', '96.bi1.b2', '96.bi1.c1', '96.bi1.a1', '96.bi1.b1', '96.bi1.d1', '96.t1.a1', '96.t1.d1', '96.t1.b1', '96.t1.c1', '96.be1.a1', '96.be1.c1', '96.be1.d1', '96.be1.b1', '96.dl1.d1', '96.dl1.c1', '96.dl1.b1', '96.dl1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '4.r1.b1', '4.s1.b1'], 'contains': ['16.i1.a1', '16.cr1.d1', '24.h1.b1'], 'core': '8.l1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [105, 16, 400, 388, 256, 6], 'label': '768.87077.8.l1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.b1', 'normal_contained_in': ['4.g1.b1'], 'normal_contains': ['16.i1.a1', '24.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.l1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918673
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.b1', '16.bx1.a1', '16.da1.a1'], 'contains': ['64.bs1.a1', '64.bu1.a1', '64.bu2.a1', '64.bz1.a1', '64.bz1.c1', '64.bz2.a2', '64.bz2.b1', '96.dm1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 452, 448, 256], 'label': '768.87077.32.dm1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.dm1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dm1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918674
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '32.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.b1', '16.bx1.a1', '16.da1.a1'], 'contains': ['64.bs1.a2', '64.bu1.a1', '64.bu2.a1', '64.bz1.a1', '64.bz1.c1', '64.bz2.a1', '64.bz2.b2', '96.dm1.b2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 452, 464, 256], 'label': '768.87077.32.dm1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '32.dm1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dm1.b2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918675
{'ambient': '768.87077', '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': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.c1.a1', '24.i1.a1', '24.j1.a1'], 'contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1', '96.q1.a1', '96.q1.b1', '96.bj1.a1', '96.bx1.a1', '96.by1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 64, 384, 16], 'label': '768.87077.48.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.b1.a1', '24.a1.a1', '24.c1.a1'], 'normal_contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918676
{'ambient': '768.87077', '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': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.a1.a1', '24.d1.a1', '24.e1.a1', '24.o1.a1', '24.p1.a1'], 'contains': ['96.b1.a1', '96.h1.a1', '96.h1.b1', '96.i1.a1', '96.u1.a1', '96.bm1.a1', '96.cd1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [476, 64, 384, 16], 'label': '768.87077.48.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': ['16.b1.a1', '24.a1.a1', '24.d1.a1', '24.e1.a1'], 'normal_contains': ['96.b1.a1', '96.h1.b1', '96.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918677
{'ambient': '768.87077', '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': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.a1.a1', '24.f1.a1', '24.g1.a1', '24.q1.a1', '24.r1.a1', '24.r1.b1', '24.s1.a1'], 'contains': ['96.b1.a1', '96.d1.a1', '96.f1.a1', '96.j1.a1', '96.v1.a1', '96.bn1.a1', '96.ci1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [454, 64, 384, 16], 'label': '768.87077.48.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': ['16.c1.a1', '24.a1.a1', '24.f1.a1', '24.g1.a1'], 'normal_contains': ['96.b1.a1', '96.d1.a1', '96.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918678
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-
id: 59918679
{'ambient': '768.87077', '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': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '24.b1.a1', '24.e1.a1', '24.g1.a1', '24.x1.a1', '24.y1.a1'], 'contains': ['96.b1.a1', '96.l1.a1', '96.x1.a1', '96.bp1.a1', '96.ce1.a1', '96.ck1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [478, 64, 384, 16], 'label': '768.87077.48.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': ['16.e1.a1', '24.b1.a1', '24.g1.a1', '24.e1.a1'], 'normal_contains': ['96.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918680
{'ambient': '768.87077', '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': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '24.c1.a1', '24.e1.a1', '24.f1.a1', '24.z1.a1', '24.bb1.a1', '24.bc1.a1', '24.bc1.b1'], 'contains': ['96.b1.a1', '96.g1.a1', '96.g1.b1', '96.n1.a1', '96.cm1.a1'], 'core': '48.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 64, 384], 'label': '768.87077.48.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1.a1', 'normal_contained_in': ['16.f1.a1', '24.c1.a1', '24.f1.a1', '24.e1.a1'], 'normal_contains': ['96.b1.a1', '96.g1.a1', '96.g1.b1'], 'normalizer': '1.a1.a1', 'old_label': '48.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918681
{'ambient': '768.87077', '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': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '24.c1.a1', '24.d1.a1', '24.g1.a1', '24.ba1.a1', '24.bd1.a1'], 'contains': ['96.b1.a1', '96.o1.a1', '96.cg1.a1', '96.cn1.a1'], 'core': '48.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 64, 384], 'label': '768.87077.48.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1.a1', 'normal_contained_in': ['16.g1.a1', '24.c1.a1', '24.d1.a1', '24.g1.a1'], 'normal_contains': ['96.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918682
{'ambient': '768.87077', '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': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '24.f1.a1', '24.bk1.a1', '24.bp1.a1', '24.bq1.a1'], 'contains': ['96.d1.a1', '96.e1.a1', '96.g1.b1', '96.cv1.a1'], 'core': '48.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [66, 388, 384], 'label': '768.87077.48.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1.a1', 'normal_contained_in': ['16.h1.a1', '24.f1.a1'], 'normal_contains': ['96.e1.a1', '96.d1.a1', '96.g1.b1'], 'normalizer': '1.a1.a1', 'old_label': '48.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918683
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': ['96.bi1.a2', '96.bi1.c2', '96.bi1.d2', '96.bi1.b2', '96.bi1.c1', '96.bi1.a1', '96.bi1.b1', '96.bi1.d1', '96.t1.a1', '96.t1.d1', '96.t1.b1', '96.t1.c1', '96.be1.a1', '96.be1.c1', '96.be1.d1', '96.be1.b1', '96.dl1.b1', '96.dl1.a1', '96.dl1.d1', '96.dl1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '4.r1.c1', '4.s1.c1'], 'contains': ['16.i1.b1', '16.cr1.a1', '24.h1.c1'], 'core': '8.l1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [33, 16, 384, 452, 256, 390], 'label': '768.87077.8.l1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.c1', 'normal_contained_in': ['4.g1.a1'], 'normal_contains': ['16.i1.b1', '24.h1.c1'], 'normalizer': '1.a1.a1', 'old_label': '8.l1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918684
{'ambient': '768.87077', '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': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.h1.b1', '24.f1.a1', '24.bk1.b1', '24.bp1.b1', '24.bq1.b1'], 'contains': ['96.d1.a1', '96.e1.b1', '96.g1.a1', '96.cv1.b1'], 'core': '48.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 452, 384], 'label': '768.87077.48.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1.b1', 'normal_contained_in': ['16.h1.b1', '24.f1.a1'], 'normal_contains': ['96.e1.b1', '96.d1.a1', '96.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918685
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '24.f1.a1', '24.h1.a1', '24.h1.b1', '24.bl1.a1', '24.br1.a1', '24.bs1.a1', '24.bt1.a1'], 'contains': ['96.e1.a1', '96.f1.a1', '96.g1.a1', '96.cx1.a1'], 'core': '48.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 388, 384], 'label': '768.87077.48.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.i1.a1', 'normal_contained_in': ['16.i1.a1', '24.f1.a1', '24.h1.a1', '24.h1.b1'], 'normal_contains': ['96.e1.a1', '96.f1.a1', '96.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918686
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.i1.b1', '24.f1.a1', '24.h1.c1', '24.h1.d1', '24.bl1.b1', '24.br1.b1', '24.bs1.b1', '24.bt1.b1'], 'contains': ['96.e1.b1', '96.f1.a1', '96.g1.b1', '96.cx1.b1'], 'core': '48.i1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [66, 452, 384], 'label': '768.87077.48.i1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.i1.b1', 'normal_contained_in': ['16.i1.b1', '24.f1.a1', '24.h1.d1', '24.h1.c1'], 'normal_contains': ['96.e1.b1', '96.f1.a1', '96.g1.b1'], 'normalizer': '1.a1.a1', 'old_label': '48.i1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918687
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '24.a1.a1', '24.k1.a1', '24.l1.a1'], 'contains': ['96.a1.a1', '96.i1.a1', '96.j1.a1', '96.r1.a1', '96.r1.b1', '96.bk1.a1', '96.bk1.a2', '96.bz1.a1', '96.bz1.b1', '96.ca1.a1', '96.ca1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 390, 64, 16], 'label': '768.87077.48.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918688
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '24.b1.a1', '24.k1.a1', '24.m1.a1'], 'contains': ['96.a1.a1', '96.k1.a1', '96.l1.a1', '96.s1.a1', '96.s1.b1', '96.bl1.a1', '96.cb1.a1', '96.cb1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 452, 64, 16], 'label': '768.87077.48.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918689
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '24.i1.a1', '24.m1.a1'], 'contains': ['96.a1.a1', '96.m1.a1', '96.p1.a1', '96.t1.a1', '96.t1.b1', '96.t1.c1', '96.t1.d1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 32, 16], 'label': '768.87077.48.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918690
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.m1.a1', '24.c1.a1', '24.k1.a1', '24.n1.a1'], 'contains': ['96.a1.a1', '96.n1.a1', '96.o1.a1', '96.cc1.a1', '96.cc1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 2, 64], 'label': '768.87077.48.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '48.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918691
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '24.i1.a1', '24.o1.a1', '24.q1.a1', '24.t1.a1', '24.x1.a1', '24.z1.a1', '24.ba1.a1'], 'contains': ['96.b1.a1', '96.m1.a1', '96.y1.a1', '96.y1.b1', '96.y2.a1', '96.bq1.a1', '96.bq2.a1', '96.cf1.a1', '96.cl1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [426, 64, 384, 16], 'label': '768.87077.48.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918692
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.a1', '24.i1.a1', '24.p1.a1', '24.s1.a1', '24.u1.a1', '24.x1.a1', '24.bb1.a1', '24.bd1.a1'], 'contains': ['96.b1.a1', '96.p1.a1', '96.z1.a1', '96.z1.b1', '96.z2.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [32, 384, 16], 'label': '768.87077.48.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918693
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.p1.a1', '24.j1.a1', '24.o1.a1', '24.s1.a1', '24.v1.a1', '24.y1.a1', '24.ba1.a1', '24.bb1.a1'], 'contains': ['96.b1.a1', '96.ba1.a1', '96.br1.a1', '96.co1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [418, 384, 16], 'label': '768.87077.48.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918694
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': ['96.bi1.a2', '96.bi1.c2', '96.bi1.d2', '96.bi1.b2', '96.bi1.c1', '96.bi1.a1', '96.bi1.b1', '96.bi1.d1', '96.t1.a1', '96.t1.d1', '96.t1.b1', '96.t1.c1', '96.be1.a1', '96.be1.c1', '96.be1.d1', '96.be1.b1', '96.dl1.b1', '96.dl1.a1', '96.dl1.d1', '96.dl1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '4.r1.d1', '4.s1.d1'], 'contains': ['16.i1.b1', '16.cr1.b1', '24.h1.d1'], 'core': '8.l1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [97, 16, 384, 452, 256, 390], 'label': '768.87077.8.l1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.d1', 'normal_contained_in': ['4.g1.a1'], 'normal_contains': ['16.i1.b1', '24.h1.d1'], 'normalizer': '1.a1.a1', 'old_label': '8.l1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918695
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.q1.a1', '24.j1.a1', '24.p1.a1', '24.q1.a1', '24.w1.a1', '24.y1.a1', '24.z1.a1', '24.bd1.a1'], 'contains': ['96.b1.a1', '96.bb1.a1', '96.bs1.a1', '96.ch1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 64, 16], 'label': '768.87077.48.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918696
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.r1.a1', '24.a1.a1', '24.be1.a1', '24.bf1.a1'], 'contains': ['96.c1.a1', '96.i1.a1', '96.j1.a1', '96.bc1.a1', '96.bt1.a1', '96.cp1.a1', '96.cp1.b1', '96.cq1.a1', '96.cq1.b1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 390, 64, 16], 'label': '768.87077.48.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918697
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.s1.a1', '24.d1.a1', '24.k1.a1', '24.be1.a1'], 'contains': ['96.i1.a1', '96.k1.a1', '96.o1.a1', '96.cr1.a1', '96.cr1.b1', '96.cr1.c1', '96.cr1.d1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 452, 64], 'label': '768.87077.48.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918698
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.t1.a1', '24.e1.a1', '24.k1.a1', '24.be1.a1'], 'contains': ['96.i1.a1', '96.l1.a1', '96.n1.a1', '96.cs1.a1', '96.cs1.b1', '96.cs1.c1', '96.cs1.d1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 2, 64], 'label': '768.87077.48.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918699
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.u1.a1', '24.b1.a1', '24.be1.a1', '24.bg1.a1'], 'contains': ['96.c1.a1', '96.k1.a1', '96.l1.a1', '96.bd1.a1', '96.bd1.a2', '96.bu1.a1', '96.ct1.a1', '96.ct1.b1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [394, 452, 64, 16], 'label': '768.87077.48.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918761
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.m1.a1'], 'contains': ['16.m1.a1', '16.bd1.a1', '16.bd1.b1', '24.n1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 256, 16, 8, 2, 64], 'label': '768.87077.8.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '8.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918700
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.v1.a1', '24.i1.a1', '24.bg1.a1'], 'contains': ['96.c1.a1', '96.m1.a1', '96.p1.a1', '96.be1.a1', '96.be1.b1', '96.be1.c1', '96.be1.d1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [394, 32, 16], 'label': '768.87077.48.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918701
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.w1.a1', '24.c1.a1', '24.be1.a1', '24.bh1.a1'], 'contains': ['96.c1.a1', '96.n1.a1', '96.o1.a1', '96.cu1.a1', '96.cu1.b1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [392, 2, 64], 'label': '768.87077.48.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '48.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918702
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.x1.a1', '24.f1.a1', '24.k1.a1', '24.be1.a1'], 'contains': ['96.j1.a1', '96.k1.a1', '96.n1.a1', '96.cv1.a1', '96.cv1.b1', '96.cx1.a1', '96.cx1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 452, 64], 'label': '768.87077.48.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918703
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.y1.a1', '24.g1.a1', '24.k1.a1', '24.be1.a1'], 'contains': ['96.j1.a1', '96.l1.a1', '96.o1.a1', '96.cw1.a1', '96.cw1.a2', '96.cz1.a1', '96.cz1.a2'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 454, 64], 'label': '768.87077.48.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918704
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.a1', '24.l1.a1', '24.r1.a1', '24.bf1.a1'], 'contains': ['96.j1.a1', '96.bf1.a1', '96.bv1.a1', '96.da1.a1', '96.da1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 64, 16], 'label': '768.87077.48.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918705
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.j1.a1', '4.l1.a1'], 'contains': ['16.a1.a1', '16.l1.a1', '16.n1.a1', '16.o1.a1', '16.v1.a1', '16.bg1.a1', '16.bg1.b1', '16.bg1.c1', '16.bg1.d1', '16.bg2.a1', '16.bg2.b1', '24.i1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 256, 64, 32, 384, 16], 'label': '768.87077.8.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918706
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.z1.b1', '24.l1.a1', '24.r1.b1', '24.bf1.a1'], 'contains': ['96.j1.a1', '96.bf1.b1', '96.bv1.b1', '96.da1.c1', '96.da1.d1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [41, 64, 16], 'label': '768.87077.48.z1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.z1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.z1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918707
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ba1.a1', '24.m1.a1', '24.t1.a1', '24.bg1.a1'], 'contains': ['96.k1.a1', '96.m1.a1', '96.bg1.a1', '96.bg1.b1', '96.bg2.a1', '96.bg2.a2', '96.bw1.a1', '96.bw1.a2', '96.cy1.a1', '96.cy1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 452, 64, 16], 'label': '768.87077.48.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918708
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bb1.a1', '24.m1.a1', '24.u1.a1', '24.bg1.a1'], 'contains': ['96.k1.a1', '96.p1.a1', '96.bh1.a1', '96.bh1.b1', '96.bh2.a1', '96.bh2.a2'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32, 452, 16], 'label': '768.87077.48.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918709
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a1', '24.m1.a1', '24.x1.a1', '24.bg1.a1'], 'contains': ['96.l1.a1', '96.m1.a1', '96.p1.a1', '96.bi1.a1', '96.bi1.b1', '96.bi1.c1', '96.bi1.d1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [94, 32, 16], 'label': '768.87077.48.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918710
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bc1.a2', '24.m1.a1', '24.x1.a1', '24.bg1.a1'], 'contains': ['96.l1.a1', '96.m1.a1', '96.p1.a1', '96.bi1.a2', '96.bi1.b2', '96.bi1.c2', '96.bi1.d2'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [478, 32, 16], 'label': '768.87077.48.bc1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bc1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bc1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918711
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.bd1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bd1.a1', '24.n1.a1', '24.bc1.a1', '24.bh1.a1'], 'contains': ['96.n1.a1', '96.db1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 64], 'label': '768.87077.48.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.h1.a1', 'old_label': '48.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918712
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.bd1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bd1.b1', '24.n1.a1', '24.bc1.b1', '24.bh1.a1'], 'contains': ['96.n1.a1', '96.db1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [9, 64], 'label': '768.87077.48.bd1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.h1.a1', 'old_label': '48.bd1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bd1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918713
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.a1', '24.a1.a1', '24.bi1.a1', '24.bi1.b1'], 'contains': ['96.q1.a1', '96.r1.a1', '96.u1.a1', '96.v1.a1', '96.bc1.a1', '96.dc1.a1', '96.dd1.a1', '96.df1.a1', '96.df1.b1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 454, 64, 384], 'label': '768.87077.48.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '48.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918714
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.be1.b1', '24.a1.a1', '24.bi1.c1', '24.bi1.d1'], 'contains': ['96.q1.b1', '96.r1.b1', '96.u1.a1', '96.v1.a1', '96.bc1.a1', '96.dc1.b1', '96.dd1.b1', '96.df1.c1', '96.df1.d1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 454, 64, 384], 'label': '768.87077.48.be1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '48.be1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.be1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918715
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.a1', '24.b1.a1', '24.bj1.a1', '24.bj1.b1'], 'contains': ['96.q1.a1', '96.s1.a1', '96.w1.a1', '96.x1.a1', '96.bd1.a1', '96.bd1.a2', '96.de1.a1', '96.de1.b1', '96.dg1.a1', '96.dg1.a2'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 452, 64, 384], 'label': '768.87077.48.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '48.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918716
{'ambient': '768.87077', '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': '192.a1.a1', 'complements': ['384.d1.a1', '384.d1.b1', '384.h1.a1', '384.g1.b1', '384.g1.a1', '384.l1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.f1.a1', '4.g1.b1', '4.i1.a1', '4.s1.a1', '4.s1.b1', '6.d1.b1'], 'core': '2.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 388, 384, 40, 2, 256, 16, 64], 'label': '768.87077.2.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.f1.a1', '4.g1.b1', '4.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918717
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.j1.a1', '4.l1.a1'], 'contains': ['16.a1.a1', '16.p1.a1', '16.q1.a1', '16.bh1.a1', '16.bh1.b1', '24.j1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 256, 400, 418, 16, 64], 'label': '768.87077.8.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918718
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bf1.b1', '24.b1.a1', '24.bj1.c1', '24.bj1.d1'], 'contains': ['96.q1.b1', '96.s1.b1', '96.w1.a1', '96.x1.a1', '96.bd1.a1', '96.bd1.a2', '96.de1.c1', '96.de1.d1', '96.dg1.b1', '96.dg1.b2'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 452, 64, 384], 'label': '768.87077.48.bf1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '48.bf1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bf1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918719
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bg1.a1', '24.i1.a1', '24.bi1.a1', '24.bj1.b1'], 'contains': ['96.q1.a1', '96.t1.a1', '96.y1.a1', '96.z1.a1', '96.be1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [10, 32, 384], 'label': '768.87077.48.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918720
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bg1.b1', '24.i1.a1', '24.bi1.b1', '24.bj1.a1'], 'contains': ['96.q1.a1', '96.t1.b1', '96.y1.b1', '96.z1.b1', '96.be1.d1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [10, 48, 384], 'label': '768.87077.48.bg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.bg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918721
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bg1.c1', '24.i1.a1', '24.bi1.c1', '24.bj1.d1'], 'contains': ['96.q1.b1', '96.t1.c1', '96.y1.a1', '96.z1.b1', '96.be1.b1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26, 48, 384], 'label': '768.87077.48.bg1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.bg1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bg1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918722
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bg1.d1', '24.i1.a1', '24.bi1.d1', '24.bj1.c1'], 'contains': ['96.q1.b1', '96.t1.d1', '96.y1.b1', '96.z1.a1', '96.be1.c1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26, 32, 384], 'label': '768.87077.48.bg1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.bg1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bg1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918723
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bg2.a1', '24.i1.a1', '24.bj1.a1', '24.bj1.b1'], 'contains': ['96.q1.a1', '96.t1.a1', '96.t1.b1', '96.y2.a1', '96.z2.a1', '96.be1.b1', '96.be1.c1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 32, 400], 'label': '768.87077.48.bg2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bg2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bg2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918724
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bg2.b1', '24.i1.a1', '24.bj1.c1', '24.bj1.d1'], 'contains': ['96.q1.b1', '96.t1.c1', '96.t1.d1', '96.y2.a1', '96.z2.a1', '96.be1.a1', '96.be1.d1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 32, 400], 'label': '768.87077.48.bg2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bg2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bg2.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918725
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bh1.a1', '24.j1.a1', '24.bi1.a1', '24.bi1.b1'], 'contains': ['96.q1.a1', '96.ba1.a1', '96.bb1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 418], 'label': '768.87077.48.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918726
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bh1.b1', '24.j1.a1', '24.bi1.c1', '24.bi1.d1'], 'contains': ['96.q1.b1', '96.ba1.a1', '96.bb1.a1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 418], 'label': '768.87077.48.bh1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bh1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bh1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918727
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.a1', '24.l1.a1'], 'contains': ['96.r1.a1', '96.bf1.a1', '96.bf1.b1', '96.dh1.a1', '96.dh1.b1', '96.dh1.c1', '96.dh1.d1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 460, 64], 'label': '768.87077.48.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '48.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918728
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.j1.a1', '16.k1.a1', '16.m1.a1', '16.s1.a1', '16.t1.a1', '16.x1.a1', '16.y1.a1', '16.cg1.a1', '16.cg1.b1', '16.cg1.c1', '16.cg1.d1', '16.ch1.a1', '16.ch1.b1', '16.ch1.c1', '16.ch1.d1', '24.k1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 256, 2, 452, 64], 'label': '768.87077.8.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '8.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918729
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bi1.b1', '24.l1.a1'], 'contains': ['96.r1.b1', '96.bf1.a1', '96.bf1.b1', '96.dh1.e1', '96.dh1.f1', '96.dh1.g1', '96.dh1.h1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 476, 64], 'label': '768.87077.48.bi1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '48.bi1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bi1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918730
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bj1.a1', '24.m1.a1', '24.bj1.b1'], 'contains': ['96.s1.a1', '96.t1.a1', '96.bg1.a1', '96.bh1.a1', '96.bi1.a1', '96.bi1.a2'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 32, 452], 'label': '768.87077.48.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918731
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bj1.b1', '24.m1.a1', '24.bj1.a1'], 'contains': ['96.s1.a1', '96.t1.b1', '96.bg1.b1', '96.bh1.b1', '96.bi1.d1', '96.bi1.d2'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 48, 452], 'label': '768.87077.48.bj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918732
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bj1.c1', '24.m1.a1', '24.bj1.d1'], 'contains': ['96.s1.b1', '96.t1.c1', '96.bg1.a1', '96.bh1.b1', '96.bi1.b1', '96.bi1.b2'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 48, 452], 'label': '768.87077.48.bj1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bj1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918733
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bj1.d1', '24.m1.a1', '24.bj1.c1'], 'contains': ['96.s1.b1', '96.t1.d1', '96.bg1.b1', '96.bh1.a1', '96.bi1.c1', '96.bi1.c2'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 32, 452], 'label': '768.87077.48.bj1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bj1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918734
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bj2.a1', '24.m1.a1', '24.bj1.a1', '24.bj1.b1'], 'contains': ['96.s1.a1', '96.t1.a1', '96.t1.b1', '96.bg2.a1', '96.bh2.a1', '96.bi1.b1', '96.bi1.c2'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 32, 468], 'label': '768.87077.48.bj2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bj2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918735
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bj2.a2', '24.m1.a1', '24.bj1.a1', '24.bj1.b1'], 'contains': ['96.s1.a1', '96.t1.a1', '96.t1.b1', '96.bg2.a2', '96.bh2.a2', '96.bi1.b2', '96.bi1.c1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 48, 468], 'label': '768.87077.48.bj2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bj2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj2.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918736
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bj2.b1', '24.m1.a1', '24.bj1.c1', '24.bj1.d1'], 'contains': ['96.s1.b1', '96.t1.c1', '96.t1.d1', '96.bg2.a1', '96.bh2.a2', '96.bi1.a1', '96.bi1.d2'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 48, 468], 'label': '768.87077.48.bj2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bj2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj2.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918737
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bj2.b2', '24.m1.a1', '24.bj1.c1', '24.bj1.d1'], 'contains': ['96.s1.b1', '96.t1.c1', '96.t1.d1', '96.bg2.a2', '96.bh2.a1', '96.bi1.a2', '96.bi1.d1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 32, 468], 'label': '768.87077.48.bj2.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bj2.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj2.b2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918738
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bk1.a1', '24.o1.a1', '24.bi1.a1', '24.bi1.c1'], 'contains': ['96.u1.a1', '96.y1.a1', '96.ba1.a1', '96.dl1.a1', '96.dl1.c1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [476, 418, 400], 'label': '768.87077.48.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918739
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1'], 'contains': ['16.j1.a1', '16.z1.a1', '16.z1.b1', '16.bi1.a1', '16.bi1.b1', '16.bu1.a1', '16.bu1.a2', '16.ci1.a1', '16.ci1.b1', '16.ci1.c1', '16.ci1.d1', '24.l1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 390, 256, 476, 64, 16], 'label': '768.87077.8.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '8.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918740
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bk1.b1', '24.o1.a1', '24.bi1.b1', '24.bi1.d1'], 'contains': ['96.u1.a1', '96.y1.b1', '96.ba1.a1', '96.dl1.b1', '96.dl1.d1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [460, 418, 400], 'label': '768.87077.48.bk1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bk1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bk1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918741
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bl1.a1', '24.p1.a1', '24.bi1.a1', '24.bi1.d1'], 'contains': ['96.u1.a1', '96.z1.a1', '96.bb1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [476, 32], 'label': '768.87077.48.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918742
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bl1.b1', '24.p1.a1', '24.bi1.b1', '24.bi1.c1'], 'contains': ['96.u1.a1', '96.z1.b1', '96.bb1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [476, 48], 'label': '768.87077.48.bl1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bl1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bl1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918743
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bm1.a1', '24.q1.a1', '24.bi1.a1', '24.bi1.c1'], 'contains': ['96.v1.a1', '96.y1.a1', '96.bb1.a1', '96.di1.a1', '96.dk1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [56, 454, 64], 'label': '768.87077.48.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918744
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bm1.b1', '24.q1.a1', '24.bi1.b1', '24.bi1.d1'], 'contains': ['96.v1.a1', '96.y1.b1', '96.bb1.a1', '96.di1.b1', '96.dk1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [40, 454, 64], 'label': '768.87077.48.bm1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bm1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bm1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918745
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bn1.a1', '24.s1.a1', '24.bi1.a1', '24.bi1.d1'], 'contains': ['96.v1.a1', '96.z1.a1', '96.ba1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32, 454], 'label': '768.87077.48.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918746
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bn1.b1', '24.s1.a1', '24.bi1.b1', '24.bi1.c1'], 'contains': ['96.v1.a1', '96.z1.b1', '96.ba1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [48, 454], 'label': '768.87077.48.bn1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '48.bn1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bn1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918747
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.a1', '24.t1.a1', '24.bj1.a1', '24.bj1.c1'], 'contains': ['96.w1.a1', '96.y1.b1', '96.y2.a1', '96.bg1.b1', '96.bg2.a1', '96.bg2.a2', '96.dj1.a1', '96.dj1.c1', '96.dm1.a1', '96.dm1.a2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [442, 452, 64, 384], 'label': '768.87077.48.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918748
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bo1.b1', '24.t1.a1', '24.bj1.b1', '24.bj1.d1'], 'contains': ['96.w1.a1', '96.y1.a1', '96.y2.a1', '96.bg1.a1', '96.bg2.a1', '96.bg2.a2', '96.dj1.b1', '96.dj1.d1', '96.dm1.b1', '96.dm1.b2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 452, 64, 384], 'label': '768.87077.48.bo1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bo1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bo1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918749
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bp1.a1', '24.u1.a1', '24.bj1.a1', '24.bj1.d1'], 'contains': ['96.w1.a1', '96.z1.b1', '96.z2.a1', '96.bh1.b1', '96.bh2.a1', '96.bh2.a2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [48, 452, 384], 'label': '768.87077.48.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918750
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.k1.a1', '16.l1.a1', '16.ba1.a1', '16.bb1.a1', '16.bc1.a1', '16.bc1.a2', '16.bj1.a1', '16.bj1.b1', '16.bj1.c1', '16.bj1.d1', '16.bj2.a1', '16.bj2.a2', '16.bj2.b1', '16.bj2.b2', '24.m1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 64, 32, 452, 16], 'label': '768.87077.8.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '8.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918751
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bp1.b1', '24.u1.a1', '24.bj1.b1', '24.bj1.c1'], 'contains': ['96.w1.a1', '96.z1.a1', '96.z2.a1', '96.bh1.a1', '96.bh2.a1', '96.bh2.a2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32, 452, 384], 'label': '768.87077.48.bp1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bp1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bp1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918752
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bq1.a1', '24.x1.a1', '24.bj1.b1', '24.bj1.c1'], 'contains': ['96.x1.a1', '96.y2.a1', '96.z1.a1', '96.bi1.a1', '96.bi1.a2', '96.bi1.c1', '96.bi1.c2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [478, 32, 384], 'label': '768.87077.48.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918753
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bq1.b1', '24.x1.a1', '24.bj1.a1', '24.bj1.d1'], 'contains': ['96.x1.a1', '96.y2.a1', '96.z1.b1', '96.bi1.b1', '96.bi1.b2', '96.bi1.d1', '96.bi1.d2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [478, 48, 384], 'label': '768.87077.48.bq1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bq1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bq1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918754
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bq2.a1', '24.x1.a1', '24.bj1.b1', '24.bj1.d1'], 'contains': ['96.x1.a1', '96.y1.a1', '96.z2.a1', '96.bi1.a1', '96.bi1.a2', '96.bi1.b1', '96.bi1.b2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [478, 32, 400], 'label': '768.87077.48.bq2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bq2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bq2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918755
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bq2.b1', '24.x1.a1', '24.bj1.a1', '24.bj1.c1'], 'contains': ['96.x1.a1', '96.y1.b1', '96.z2.a1', '96.bi1.c1', '96.bi1.c2', '96.bi1.d1', '96.bi1.d2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [462, 32, 400], 'label': '768.87077.48.bq2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.bq2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bq2.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918756
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.br1.a1', '24.bg1.a1', '24.bj1.b1', '24.bj1.c1'], 'contains': ['96.bd1.a1', '96.be1.a1', '96.be1.c1', '96.bg2.a1', '96.bh1.a1', '96.bi1.a2', '96.bi1.c1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [394, 32, 452], 'label': '768.87077.48.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918757
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.br1.a2', '24.bg1.a1', '24.bj1.b1', '24.bj1.c1'], 'contains': ['96.bd1.a2', '96.be1.a1', '96.be1.c1', '96.bg2.a2', '96.bh1.a1', '96.bi1.a1', '96.bi1.c2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [410, 32, 452], 'label': '768.87077.48.br1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.br1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918758
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.br1.b1', '24.bg1.a1', '24.bj1.a1', '24.bj1.d1'], 'contains': ['96.bd1.a1', '96.be1.b1', '96.be1.d1', '96.bg2.a2', '96.bh1.b1', '96.bi1.b1', '96.bi1.d2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [394, 48, 452], 'label': '768.87077.48.br1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.br1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918759
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.br1.b2', '24.bg1.a1', '24.bj1.a1', '24.bj1.d1'], 'contains': ['96.bd1.a2', '96.be1.b1', '96.be1.d1', '96.bg2.a1', '96.bh1.b1', '96.bi1.b2', '96.bi1.d1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [410, 48, 452], 'label': '768.87077.48.br1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.br1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br1.b2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918760
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.br2.a1', '24.bg1.a1', '24.bj1.b1', '24.bj1.d1'], 'contains': ['96.bd1.a1', '96.be1.a1', '96.be1.b1', '96.bg1.a1', '96.bh2.a1', '96.bi1.a1', '96.bi1.b2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [394, 32, 468], 'label': '768.87077.48.br2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.br2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918762
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.br2.a2', '24.bg1.a1', '24.bj1.b1', '24.bj1.d1'], 'contains': ['96.bd1.a2', '96.be1.a1', '96.be1.b1', '96.bg1.a1', '96.bh2.a2', '96.bi1.a2', '96.bi1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [410, 48, 468], 'label': '768.87077.48.br2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.br2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br2.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918763
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.br2.b1', '24.bg1.a1', '24.bj1.a1', '24.bj1.c1'], 'contains': ['96.bd1.a1', '96.be1.c1', '96.be1.d1', '96.bg1.b1', '96.bh2.a2', '96.bi1.c2', '96.bi1.d1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [394, 48, 468], 'label': '768.87077.48.br2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.br2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br2.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918764
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.br2.b2', '24.bg1.a1', '24.bj1.a1', '24.bj1.c1'], 'contains': ['96.bd1.a2', '96.be1.c1', '96.be1.d1', '96.bg1.b1', '96.bh2.a1', '96.bi1.c1', '96.bi1.d2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [410, 32, 468], 'label': '768.87077.48.br2.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '48.br2.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br2.b2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918765
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bs1.a1', '24.a1.a1'], 'contains': ['96.bj1.a1', '96.bk1.a1', '96.bk1.a2', '96.bm1.a1', '96.bn1.a1', '96.bt1.a1', '96.dc1.a1', '96.dc1.b1', '96.dd1.a1', '96.dd1.b1', '96.df1.a1', '96.df1.b1', '96.df1.c1', '96.df1.d1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 454, 80, 384], 'label': '768.87077.48.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '48.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918766
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bt1.a1', '24.b1.a1'], 'contains': ['96.bj1.a1', '96.bl1.a1', '96.bo1.a1', '96.bp1.a1', '96.bu1.a1', '96.de1.a1', '96.de1.b1', '96.de1.c1', '96.de1.d1', '96.dg1.a1', '96.dg1.a2', '96.dg1.b1', '96.dg1.b2'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 80, 384], 'label': '768.87077.48.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '48.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918767
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bu1.a1', '24.l1.a1'], 'contains': ['96.bk1.a1', '96.bv1.a1', '96.bv1.b1', '96.dh1.c1', '96.dh1.d1', '96.dh1.e1', '96.dh1.f1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 476, 80], 'label': '768.87077.48.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '48.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918768
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bu1.a2', '24.l1.a1'], 'contains': ['96.bk1.a2', '96.bv1.a1', '96.bv1.b1', '96.dh1.a1', '96.dh1.b1', '96.dh1.g1', '96.dh1.h1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 460, 80], 'label': '768.87077.48.bu1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '48.bu1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bu1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918769
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bv1.a1', '24.o1.a1'], 'contains': ['96.bm1.a1', '96.bq1.a1', '96.br1.a1', '96.dl1.a1', '96.dl1.b1', '96.dl1.c1', '96.dl1.d1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [476, 418, 384], 'label': '768.87077.48.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.o1.a1', 'old_label': '48.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918770
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bw1.a1', '24.q1.a1'], 'contains': ['96.bn1.a1', '96.bq2.a1', '96.bs1.a1', '96.di1.a1', '96.di1.b1', '96.dk1.a1', '96.dk1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [40, 454, 80], 'label': '768.87077.48.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.q1.a1', 'old_label': '48.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918771
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bx1.a1', '24.t1.a1'], 'contains': ['96.bo1.a1', '96.bq1.a1', '96.bq2.a1', '96.bw1.a1', '96.bw1.a2', '96.dj1.a1', '96.dj1.b1', '96.dj1.c1', '96.dj1.d1', '96.dm1.a1', '96.dm1.a2', '96.dm1.b1', '96.dm1.b2'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 452, 80, 384], 'label': '768.87077.48.bx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '48.bx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918772
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.j1.a1', '4.n1.a1'], 'contains': ['16.b1.a1', '16.n1.a1', '16.p1.a1', '16.bk1.a1', '16.bk1.b1', '16.bv1.a1', '16.cw1.a1', '16.cw1.b1', '24.o1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 256, 464, 418, 384, 16], 'label': '768.87077.8.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918773
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.by1.a1', '24.y1.a1'], 'contains': ['96.bp1.a1', '96.br1.a1', '96.bs1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [478, 418], 'label': '768.87077.48.by1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.y1.a1', 'old_label': '48.by1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.by1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918774
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.bz1.a1', '24.a1.a1', '24.bk1.a1', '24.bk1.b1'], 'contains': ['96.d1.a1', '96.bx1.a1', '96.bz1.a1', '96.bz1.b1', '96.cd1.a1', '96.cp1.a1', '96.cp1.b1', '96.dc1.a1', '96.dc1.b1'], 'core': '96.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 454, 384, 16], 'label': '768.87077.48.bz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.bz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918775
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ca1.a1', '24.a1.a1', '24.bl1.a1', '24.bl1.b1', '24.bm1.a1', '24.bm1.b1', '24.bm1.c1', '24.bm1.d1'], 'contains': ['96.f1.a1', '96.bx1.a1', '96.ca1.a1', '96.ca1.b1', '96.cd1.a1', '96.cq1.a1', '96.cq1.b1', '96.dd1.a1', '96.dd1.b1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [412, 390, 384, 16], 'label': '768.87077.48.ca1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.ca1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ca1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918776
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cb1.a1', '24.b1.a1', '24.bk1.a1', '24.bl1.a1'], 'contains': ['96.e1.a1', '96.bx1.a1', '96.cb1.a1', '96.ce1.a1', '96.ct1.a1', '96.de1.a1', '96.de1.c1'], 'core': '96.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 388, 384, 16], 'label': '768.87077.48.cb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918777
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cb1.b1', '24.b1.a1', '24.bk1.b1', '24.bl1.b1'], 'contains': ['96.e1.b1', '96.bx1.a1', '96.cb1.b1', '96.ce1.a1', '96.ct1.b1', '96.de1.b1', '96.de1.d1'], 'core': '96.e1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 452, 384, 16], 'label': '768.87077.48.cb1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cb1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cb1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918778
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cc1.a1', '24.c1.a1', '24.bk1.b1', '24.bl1.a1'], 'contains': ['96.g1.a1', '96.bx1.a1', '96.cc1.a1', '96.cg1.a1', '96.cu1.a1'], 'core': '96.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 2, 384], 'label': '768.87077.48.cc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918779
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cc1.b1', '24.c1.a1', '24.bk1.a1', '24.bl1.b1'], 'contains': ['96.g1.b1', '96.bx1.a1', '96.cc1.b1', '96.cg1.a1', '96.cu1.b1'], 'core': '96.g1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 66, 384], 'label': '768.87077.48.cc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918780
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cd1.a1', '24.a1.a1', '24.bn1.a1', '24.bo1.a1'], 'contains': ['96.h1.a1', '96.by1.a1', '96.bz1.a1', '96.ca1.a1', '96.ci1.a1', '96.cp1.a1', '96.cq1.a1', '96.df1.a1', '96.df1.c1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 6, 448, 16], 'label': '768.87077.48.cd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918781
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cd1.b1', '24.a1.a1', '24.bn1.b1', '24.bo1.b1'], 'contains': ['96.h1.b1', '96.by1.a1', '96.bz1.b1', '96.ca1.b1', '96.ci1.a1', '96.cp1.b1', '96.cq1.b1', '96.df1.b1', '96.df1.d1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 6, 448, 16], 'label': '768.87077.48.cd1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cd1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cd1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918782
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ce1.a1', '24.b1.a1', '24.bn1.a1', '24.bn1.b1'], 'contains': ['96.by1.a1', '96.cb1.a1', '96.cb1.b1', '96.cj1.a1', '96.ck1.a1', '96.ct1.a1', '96.ct1.b1', '96.dg1.a1', '96.dg1.a2', '96.dg1.b1', '96.dg1.b2'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 452, 448, 16], 'label': '768.87077.48.ce1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.ce1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ce1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918783
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '4.j1.a1', '4.n1.a1'], 'contains': ['16.b1.a1', '16.o1.a1', '16.q1.a1', '16.bl1.a1', '16.bl1.b1', '24.p1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 256, 384, 32, 16, 448], 'label': '768.87077.8.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918784
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cf1.a1', '24.c1.a1', '24.bn1.a1', '24.bn1.b1'], 'contains': ['96.by1.a1', '96.cc1.a1', '96.cc1.b1', '96.cm1.a1', '96.cn1.a1', '96.cu1.a1', '96.cu1.b1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 2, 448], 'label': '768.87077.48.cf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.cf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918785
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cg1.a1', '24.k1.a1', '24.bk1.a1', '24.bn1.a1'], 'contains': ['96.bz1.a1', '96.cb1.a1', '96.cc1.b1', '96.cr1.a1', '96.cs1.b1', '96.cv1.a1', '96.cw1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 70, 388], 'label': '768.87077.48.cg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.cg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918786
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cg1.b1', '24.k1.a1', '24.bk1.b1', '24.bn1.a1'], 'contains': ['96.bz1.a1', '96.cb1.b1', '96.cc1.a1', '96.cr1.b1', '96.cs1.a1', '96.cv1.b1', '96.cw1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 454, 452], 'label': '768.87077.48.cg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.cg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918787
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cg1.c1', '24.k1.a1', '24.bk1.a1', '24.bn1.b1'], 'contains': ['96.bz1.b1', '96.cb1.a1', '96.cc1.b1', '96.cr1.c1', '96.cs1.d1', '96.cv1.a1', '96.cw1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 454, 388], 'label': '768.87077.48.cg1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.cg1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cg1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918788
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cg1.d1', '24.k1.a1', '24.bk1.b1', '24.bn1.b1'], 'contains': ['96.bz1.b1', '96.cb1.b1', '96.cc1.a1', '96.cr1.d1', '96.cs1.c1', '96.cv1.b1', '96.cw1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 70, 452], 'label': '768.87077.48.cg1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.cg1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cg1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918789
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ch1.a1', '24.k1.a1', '24.bl1.a1', '24.bn1.a1'], 'contains': ['96.ca1.a1', '96.cb1.a1', '96.cc1.a1', '96.cr1.a1', '96.cs1.a1', '96.cx1.a1', '96.cz1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 6, 388], 'label': '768.87077.48.ch1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.ch1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ch1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918790
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ch1.b1', '24.k1.a1', '24.bl1.b1', '24.bn1.a1'], 'contains': ['96.ca1.a1', '96.cb1.b1', '96.cc1.b1', '96.cr1.b1', '96.cs1.b1', '96.cx1.b1', '96.cz1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 390, 452], 'label': '768.87077.48.ch1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.ch1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ch1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918791
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ch1.c1', '24.k1.a1', '24.bl1.a1', '24.bn1.b1'], 'contains': ['96.ca1.b1', '96.cb1.a1', '96.cc1.a1', '96.cr1.c1', '96.cs1.c1', '96.cx1.a1', '96.cz1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 390, 388], 'label': '768.87077.48.ch1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.ch1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ch1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918792
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ch1.d1', '24.k1.a1', '24.bl1.b1', '24.bn1.b1'], 'contains': ['96.ca1.b1', '96.cb1.b1', '96.cc1.b1', '96.cr1.d1', '96.cs1.d1', '96.cx1.b1', '96.cz1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 6, 452], 'label': '768.87077.48.ch1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.ch1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ch1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918793
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ci1.a1', '24.l1.a1', '24.bm1.a1', '24.bo1.a1'], 'contains': ['96.ca1.a1', '96.da1.a1', '96.da1.c1', '96.dh1.a1', '96.dh1.e1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [485, 28, 16], 'label': '768.87077.48.ci1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.ci1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ci1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918794
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.j1.a1', '4.p1.a1'], 'contains': ['16.c1.a1', '16.n1.a1', '16.q1.a1', '16.bm1.a1', '16.bm1.b1', '16.bw1.a1', '16.cm1.a1', '16.cq1.a1', '24.q1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 400, 454, 64, 16], 'label': '768.87077.8.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918795
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ci1.b1', '24.l1.a1', '24.bm1.d1', '24.bo1.a1'], 'contains': ['96.ca1.a1', '96.da1.b1', '96.da1.d1', '96.dh1.b1', '96.dh1.f1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [421, 28, 16], 'label': '768.87077.48.ci1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.ci1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ci1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918796
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ci1.c1', '24.l1.a1', '24.bm1.b1', '24.bo1.b1'], 'contains': ['96.ca1.b1', '96.da1.a1', '96.da1.d1', '96.dh1.c1', '96.dh1.g1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 412, 16], 'label': '768.87077.48.ci1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.ci1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ci1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918797
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ci1.d1', '24.l1.a1', '24.bm1.c1', '24.bo1.b1'], 'contains': ['96.ca1.b1', '96.da1.b1', '96.da1.c1', '96.dh1.d1', '96.dh1.h1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [97, 412, 16], 'label': '768.87077.48.ci1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.ci1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ci1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918798
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cj1.a1', '24.d1.a1', '24.bk1.a1', '24.bl1.a1'], 'contains': ['96.e1.a1', '96.cd1.a1', '96.cg1.a1', '96.cr1.a1', '96.cr1.c1'], 'core': '96.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 388, 384], 'label': '768.87077.48.cj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918799
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cj1.b1', '24.d1.a1', '24.bk1.b1', '24.bl1.b1'], 'contains': ['96.e1.b1', '96.cd1.a1', '96.cg1.a1', '96.cr1.b1', '96.cr1.d1'], 'core': '96.e1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 452, 384], 'label': '768.87077.48.cj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918800
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ck1.a1', '24.e1.a1', '24.bk1.b1', '24.bl1.a1'], 'contains': ['96.g1.a1', '96.cd1.a1', '96.ce1.a1', '96.cs1.a1', '96.cs1.c1'], 'core': '96.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 2, 384], 'label': '768.87077.48.ck1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.ck1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ck1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918801
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ck1.b1', '24.e1.a1', '24.bk1.a1', '24.bl1.b1'], 'contains': ['96.g1.b1', '96.cd1.a1', '96.ce1.a1', '96.cs1.b1', '96.cs1.d1'], 'core': '96.g1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 66, 384], 'label': '768.87077.48.ck1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.ck1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ck1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918802
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cl1.a1', '24.g1.a1', '24.bk1.a1', '24.bk1.b1'], 'contains': ['96.d1.a1', '96.ce1.a1', '96.cg1.a1', '96.cw1.a1', '96.cw1.a2'], 'core': '96.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 454, 384], 'label': '768.87077.48.cl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918803
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cm1.a1', '24.q1.a1', '24.bp1.a1', '24.bp1.b1'], 'contains': ['96.d1.a1', '96.cf1.a1', '96.ch1.a1', '96.di1.a1', '96.di1.b1'], 'core': '96.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [40, 454, 16], 'label': '768.87077.48.cm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '48.cm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918804
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cn1.a1', '24.t1.a1', '24.bp1.a1', '24.br1.a1'], 'contains': ['96.e1.a1', '96.cf1.a1', '96.cy1.a1', '96.dj1.a1', '96.dj1.b1'], 'core': '96.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [426, 388, 384, 16], 'label': '768.87077.48.cn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '48.cn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918805
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '4.k1.a1', '4.q1.a1'], 'contains': ['16.c1.a1', '16.z1.a1', '16.cr1.a1', '16.cr1.b1', '16.cz1.a1', '24.r1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 16, 390, 64, 384, 256], 'label': '768.87077.8.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918806
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cn1.b1', '24.t1.a1', '24.bp1.b1', '24.br1.b1'], 'contains': ['96.e1.b1', '96.cf1.a1', '96.cy1.b1', '96.dj1.c1', '96.dj1.d1'], 'core': '96.e1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [426, 452, 384, 16], 'label': '768.87077.48.cn1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '48.cn1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cn1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918807
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.co1.a1', '24.w1.a1', '24.bp1.a1', '24.br1.a1'], 'contains': ['96.e1.a1', '96.ch1.a1'], 'core': '96.e1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 388], 'label': '768.87077.48.co1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '48.co1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.co1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918808
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.co1.b1', '24.w1.a1', '24.bp1.b1', '24.br1.b1'], 'contains': ['96.e1.b1', '96.ch1.a1'], 'core': '96.e1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40, 452], 'label': '768.87077.48.co1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '48.co1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.co1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918809
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cp1.a1', '24.g1.a1', '24.bl1.a1', '24.bl1.b1', '24.bu1.a1', '24.bu1.b1', '24.bu1.c1', '24.bu1.d1'], 'contains': ['96.f1.a1', '96.ce1.a1', '96.cg1.a1', '96.cz1.a1', '96.cz1.a2'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 390, 384], 'label': '768.87077.48.cp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918810
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cq1.a1', '24.q1.a1', '24.br1.a1', '24.br1.b1'], 'contains': ['96.f1.a1', '96.cf1.a1', '96.ch1.a1', '96.dk1.a1', '96.dk1.b1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [40, 390, 16], 'label': '768.87077.48.cq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '48.cq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918811
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cr1.a1', '24.h1.c1', '24.r1.a1', '24.bm1.a1', '24.bm1.b1', '24.bs1.a1', '24.bu1.a1', '24.bu1.b1'], 'contains': ['96.f1.a1', '96.da1.a1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 384], 'label': '768.87077.48.cr1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cr1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cr1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918812
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cr1.b1', '24.h1.d1', '24.r1.a1', '24.bm1.c1', '24.bm1.d1', '24.bs1.a1', '24.bu1.c1', '24.bu1.d1'], 'contains': ['96.f1.a1', '96.da1.b1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [421, 384], 'label': '768.87077.48.cr1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cr1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cr1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918813
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cr1.c1', '24.h1.a1', '24.r1.b1', '24.bm1.a1', '24.bm1.c1', '24.bs1.b1', '24.bu1.a1', '24.bu1.c1'], 'contains': ['96.f1.a1', '96.da1.c1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41, 384], 'label': '768.87077.48.cr1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cr1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cr1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918814
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cr1.d1', '24.h1.b1', '24.r1.b1', '24.bm1.b1', '24.bm1.d1', '24.bs1.b1', '24.bu1.b1', '24.bu1.d1'], 'contains': ['96.f1.a1', '96.da1.d1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [105, 384], 'label': '768.87077.48.cr1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.cr1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cr1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918815
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cs1.a1', '24.z1.a1', '24.bp1.b1', '24.br1.a1'], 'contains': ['96.g1.a1', '96.cf1.a1', '96.ch1.a1'], 'core': '96.g1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [40, 2], 'label': '768.87077.48.cs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '48.cs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918816
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '4.k1.a1', '4.q1.a1'], 'contains': ['16.c1.a1', '16.z1.b1', '16.cr1.c1', '16.cr1.d1', '16.cz1.b1', '24.r1.b1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [41, 16, 6, 64, 384, 256], 'label': '768.87077.8.v1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.v1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.v1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918817
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cs1.b1', '24.z1.a1', '24.bp1.a1', '24.br1.b1'], 'contains': ['96.g1.b1', '96.cf1.a1', '96.ch1.a1'], 'core': '96.g1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [40, 66], 'label': '768.87077.48.cs1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '48.cs1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cs1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918818
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ct1.a1', '24.bc1.a1', '24.bq1.b1', '24.bt1.a1'], 'contains': ['96.g1.a1', '96.db1.a1'], 'core': '96.g1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 384], 'label': '768.87077.48.ct1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.o1.a1', 'old_label': '48.ct1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ct1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918819
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.ct1.b1', '24.bc1.b1', '24.bq1.a1', '24.bt1.b1'], 'contains': ['96.g1.b1', '96.db1.b1'], 'core': '96.g1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [9, 384], 'label': '768.87077.48.ct1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.o1.b1', 'old_label': '48.ct1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ct1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918820
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cu1.a1', '24.d1.a1', '24.bn1.a1', '24.bv1.a1'], 'contains': ['96.h1.a1', '96.cj1.a1', '96.cn1.a1', '96.cr1.a1', '96.cr1.b1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 452, 448], 'label': '768.87077.48.cu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.cu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918821
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cu1.b1', '24.d1.a1', '24.bn1.b1', '24.bv1.b1'], 'contains': ['96.h1.b1', '96.cj1.a1', '96.cn1.a1', '96.cr1.c1', '96.cr1.d1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [392, 452, 448], 'label': '768.87077.48.cu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.cu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918822
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cv1.a1', '24.e1.a1', '24.bn1.a1', '24.bw1.a1'], 'contains': ['96.h1.a1', '96.ck1.a1', '96.cm1.a1', '96.cs1.a1', '96.cs1.b1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 2, 448], 'label': '768.87077.48.cv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '48.cv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918823
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cv1.b1', '24.e1.a1', '24.bn1.b1', '24.bw1.b1'], 'contains': ['96.h1.b1', '96.ck1.a1', '96.cm1.a1', '96.cs1.c1', '96.cs1.d1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 2, 448], 'label': '768.87077.48.cv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '48.cv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918824
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cw1.a1', '24.o1.a1', '24.bv1.a1'], 'contains': ['96.h1.a1', '96.cl1.a1', '96.co1.a1', '96.dl1.a1', '96.dl1.b1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [476, 418, 16], 'label': '768.87077.48.cw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '48.cw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918825
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cw1.b1', '24.o1.a1', '24.bv1.b1'], 'contains': ['96.h1.b1', '96.cl1.a1', '96.co1.a1', '96.dl1.c1', '96.dl1.d1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [92, 418, 16], 'label': '768.87077.48.cw1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '48.cw1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cw1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918826
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cx1.a1', '24.f1.a1', '24.bn1.a1', '24.bn1.b1'], 'contains': ['96.ci1.a1', '96.cj1.a1', '96.cm1.a1', '96.cv1.a1', '96.cv1.b1', '96.cx1.a1', '96.cx1.b1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 452, 448], 'label': '768.87077.48.cx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.cx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918827
{'ambient': '768.87077', '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': '192.a1.a1', 'complements': ['384.d1.a1', '384.d1.b1', '384.h1.a1', '384.g1.a1', '384.g1.b1', '384.l1.a1', '384.m1.a1', '384.m1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.g1.a1', '4.h1.a1', '4.i1.a1', '6.e1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 64, 384, 32, 452, 256, 16, 2], 'label': '768.87077.2.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.g1.a1', '4.h1.a1', '4.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918828
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '4.j1.a1', '4.p1.a1'], 'contains': ['16.c1.a1', '16.o1.a1', '16.p1.a1', '16.bn1.a1', '16.bn1.b1', '24.s1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [32, 256, 384, 454, 16, 64], 'label': '768.87077.8.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918829
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cy1.a1', '24.g1.a1', '24.bn1.a1', '24.bn1.b1'], 'contains': ['96.ci1.a1', '96.ck1.a1', '96.cn1.a1', '96.cw1.a1', '96.cw1.a2', '96.cz1.a1', '96.cz1.a2'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 454, 448], 'label': '768.87077.48.cy1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.cy1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cy1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918830
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cz1.a1', '24.r1.a1', '24.bo1.a1', '24.bo1.b1'], 'contains': ['96.ci1.a1', '96.da1.a1', '96.da1.b1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 448], 'label': '768.87077.48.cz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.cz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918831
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cz1.b1', '24.r1.b1', '24.bo1.a1', '24.bo1.b1'], 'contains': ['96.ci1.a1', '96.da1.c1', '96.da1.d1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [41, 448], 'label': '768.87077.48.cz1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.cz1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cz1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918832
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.da1.a1', '24.t1.a1', '24.bv1.a1', '24.bv1.b1'], 'contains': ['96.cj1.a1', '96.cl1.a1', '96.cy1.a1', '96.cy1.b1', '96.dm1.a1', '96.dm1.a2', '96.dm1.b1', '96.dm1.b2'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 452, 448, 16], 'label': '768.87077.48.da1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '48.da1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.da1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918833
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.db1.a1', '24.v1.a1', '24.bv1.a1', '24.bv1.b1'], 'contains': ['96.cj1.a1', '96.co1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [418, 452], 'label': '768.87077.48.db1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '48.db1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.db1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918834
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.dc1.a1', '24.ba1.a1', '24.bv1.a1', '24.bv1.b1'], 'contains': ['96.cl1.a1', '96.cn1.a1', '96.co1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [8, 418], 'label': '768.87077.48.dc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '48.dc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918835
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.dc1.a2', '24.ba1.a1', '24.bv1.a1', '24.bv1.b1'], 'contains': ['96.cl1.a1', '96.cn1.a1', '96.co1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [392, 418], 'label': '768.87077.48.dc1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '48.dc1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dc1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918836
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.dd1.a1', '24.bc1.a1', '24.bw1.a1', '24.bw1.b1'], 'contains': ['96.cm1.a1', '96.db1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 448], 'label': '768.87077.48.dd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '48.dd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918837
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.dd1.b1', '24.bc1.b1', '24.bw1.a1', '24.bw1.b1'], 'contains': ['96.cm1.a1', '96.db1.b1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [9, 448], 'label': '768.87077.48.dd1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1.a1', 'old_label': '48.dd1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dd1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918838
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.de1.a1', '24.be1.a1', '24.bk1.a1', '24.bn1.a1'], 'contains': ['96.cp1.a1', '96.cr1.a1', '96.cs1.b1', '96.ct1.a1', '96.cu1.b1', '96.cv1.a1', '96.cw1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 454, 388], 'label': '768.87077.48.de1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.de1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.de1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918839
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.n1.a1', '4.p1.a1'], 'contains': ['16.e1.a1', '16.n1.a1', '16.o1.a1', '16.bc1.a1', '16.bc1.a2', '16.bq1.a1', '16.bq1.b1', '16.bq2.a1', '16.bq2.b1', '24.x1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [478, 256, 64, 32, 384, 16], 'label': '768.87077.8.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918840
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.de1.b1', '24.be1.a1', '24.bk1.b1', '24.bn1.a1'], 'contains': ['96.cp1.a1', '96.cr1.b1', '96.cs1.a1', '96.ct1.b1', '96.cu1.a1', '96.cv1.b1', '96.cw1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 70, 452], 'label': '768.87077.48.de1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.de1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.de1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918841
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.de1.c1', '24.be1.a1', '24.bk1.a1', '24.bn1.b1'], 'contains': ['96.cp1.b1', '96.cr1.c1', '96.cs1.d1', '96.ct1.a1', '96.cu1.b1', '96.cv1.a1', '96.cw1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 70, 388], 'label': '768.87077.48.de1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.de1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.de1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918842
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.de1.d1', '24.be1.a1', '24.bk1.b1', '24.bn1.b1'], 'contains': ['96.cp1.b1', '96.cr1.d1', '96.cs1.c1', '96.ct1.b1', '96.cu1.a1', '96.cv1.b1', '96.cw1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 454, 452], 'label': '768.87077.48.de1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.de1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.de1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918843
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.df1.a1', '24.be1.a1', '24.bl1.a1', '24.bn1.a1'], 'contains': ['96.cq1.a1', '96.cr1.a1', '96.cs1.a1', '96.ct1.a1', '96.cu1.a1', '96.cx1.a1', '96.cz1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 390, 388], 'label': '768.87077.48.df1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.df1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.df1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918844
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.df1.b1', '24.be1.a1', '24.bl1.b1', '24.bn1.a1'], 'contains': ['96.cq1.a1', '96.cr1.b1', '96.cs1.b1', '96.ct1.b1', '96.cu1.b1', '96.cx1.b1', '96.cz1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 6, 452], 'label': '768.87077.48.df1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.df1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.df1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918845
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.df1.c1', '24.be1.a1', '24.bl1.a1', '24.bn1.b1'], 'contains': ['96.cq1.b1', '96.cr1.c1', '96.cs1.c1', '96.ct1.a1', '96.cu1.a1', '96.cx1.a1', '96.cz1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 6, 388], 'label': '768.87077.48.df1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.df1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.df1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918846
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.df1.d1', '24.be1.a1', '24.bl1.b1', '24.bn1.b1'], 'contains': ['96.cq1.b1', '96.cr1.d1', '96.cs1.d1', '96.ct1.b1', '96.cu1.b1', '96.cx1.b1', '96.cz1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 390, 452], 'label': '768.87077.48.df1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '48.df1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.df1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918847
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.dg1.a1', '24.bf1.a1', '24.bm1.b1', '24.bo1.a1'], 'contains': ['96.cq1.a1', '96.da1.a1', '96.da1.d1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 28], 'label': '768.87077.48.dg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.dg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918848
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.dg1.b1', '24.bf1.a1', '24.bm1.c1', '24.bo1.a1'], 'contains': ['96.cq1.a1', '96.da1.b1', '96.da1.c1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [97, 28], 'label': '768.87077.48.dg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.dg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918849
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.dg1.c1', '24.bf1.a1', '24.bm1.a1', '24.bo1.b1'], 'contains': ['96.cq1.b1', '96.da1.a1', '96.da1.c1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [485, 412], 'label': '768.87077.48.dg1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.dg1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dg1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918850
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.n1.a1', '4.p1.a1'], 'contains': ['16.e1.a1', '16.p1.a1', '16.q1.a1', '16.by1.a1', '24.y1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [478, 256, 384, 418, 16, 80], 'label': '768.87077.8.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918851
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '48.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.dg1.d1', '24.bf1.a1', '24.bm1.d1', '24.bo1.b1'], 'contains': ['96.cq1.b1', '96.da1.b1', '96.da1.d1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [421, 412], 'label': '768.87077.48.dg1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '48.dg1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dg1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918852
{'ambient': '768.87077', '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.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.i1.a1', '32.j1.a1', '32.k1.a1', '32.l1.a1', '32.m1.a1', '32.n1.a1', '32.o1.a1', '32.p1.a1'], 'contains': ['128.a1.a1', '128.b1.a1', '128.c1.a1', '192.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64, 16, 256], 'label': '768.87077.64.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'normal_contains': ['128.c1.a1', '128.b1.a1', '128.a1.a1', '192.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918853
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': ['12.s1.a1', '12.s1.b1', '12.s1.c1', '12.s1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.q1.a1', '32.r1.a1', '32.s1.a1', '32.t1.a1', '32.t1.b1'], 'contains': ['128.a1.a1', '128.d1.a1', '192.b1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 64, 256], 'label': '768.87077.64.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.b1.a1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['128.a1.a1', '192.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918854
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': ['12.s1.a1', '12.s1.b1', '12.s1.c1', '12.s1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.q1.b1', '32.r1.b1', '32.s1.b1', '32.t1.c1', '32.t1.d1'], 'contains': ['128.a1.a1', '128.d1.b1', '192.b1.b1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [26, 64, 256], 'label': '768.87077.64.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.b1.b1', 'normal_contained_in': ['32.a1.a1'], 'normal_contains': ['128.a1.a1', '192.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '64.b1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.b1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918855
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '32.d1.a1', '32.e1.a1', '32.e1.b1', '32.f1.a1', '32.g1.a1', '32.g1.b1', '32.bx1.a1', '32.cd1.a1', '32.ce1.a1', '32.cf1.a1', '32.cg1.a1', '32.ch1.a1'], 'contains': ['128.c1.a1', '128.e1.a1', '192.c1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [384, 16, 256], 'label': '768.87077.64.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.c1.a1', 'normal_contained_in': ['32.b1.a1', '32.e1.b1', '32.e1.a1', '32.d1.a1', '32.f1.a1', '32.g1.a1', '32.g1.b1'], 'normal_contains': ['128.c1.a1', '192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918856
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '32.h1.a1', '32.h1.b1', '32.by1.a1', '32.ci1.a1', '32.cj1.a1', '32.ck1.a1', '32.cl1.a1', '32.cm1.a1', '32.cn1.a1', '32.co1.a1'], 'contains': ['128.c1.a1', '128.f1.a1', '192.d1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [448, 16, 256], 'label': '768.87077.64.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.d1.a1', 'normal_contained_in': ['32.b1.a1', '32.h1.b1', '32.h1.a1'], 'normal_contains': ['128.c1.a1', '192.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918857
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '32.q1.a1', '32.q1.b1', '32.u1.a1', '32.v1.a1', '32.w1.a1', '32.x1.a1', '32.y1.a1', '32.y1.b1', '32.y2.a1', '32.z1.a1', '32.z1.b1', '32.z2.a1', '32.ba1.a1', '32.bb1.a1'], 'contains': ['128.a1.a1', '128.e1.a1', '128.f1.a1', '192.e1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [64, 384, 256], 'label': '768.87077.64.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '64.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918858
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.i1.a1', '32.r1.a1', '32.r1.b1', '32.u1.a1', '32.bc1.a1'], 'contains': ['128.a1.a1', '128.g1.a1', '128.g1.b1', '192.f1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 64, 256], 'label': '768.87077.64.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918859
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '32.q1.a1', '32.q1.b1', '32.bc1.a1', '32.bd1.a1', '32.bd1.a2', '32.be1.a1', '32.be1.b1', '32.be1.c1', '32.be1.d1'], 'contains': ['128.a1.a1', '128.h1.a1', '192.g1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [394, 64, 256], 'label': '768.87077.64.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '64.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918860
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.j1.a1', '32.r1.a1', '32.r1.b1', '32.v1.a1', '32.bc1.a1', '32.bf1.a1', '32.bf1.b1'], 'contains': ['128.a1.a1', '128.i1.a1', '128.k1.a1', '192.h1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454, 64, 256], 'label': '768.87077.64.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918861
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.l1.a1', '4.n1.a1'], 'contains': ['16.f1.a1', '16.n1.a1', '16.q1.a1', '16.cs1.a1', '16.cs1.b1', '24.z1.a1'], 'core': '16.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [40, 256, 16, 2, 64, 400], 'label': '768.87077.8.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918862
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.k1.a1', '32.s1.a1', '32.s1.b1', '32.w1.a1', '32.bd1.a1', '32.bd1.a2', '32.bg1.a1', '32.bg1.b1', '32.bg2.a1', '32.bg2.a2', '32.bh1.a1', '32.bh1.b1', '32.bh2.a1', '32.bh2.a2'], 'contains': ['128.a1.a1', '128.j1.a1', '128.j1.b1', '192.i1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 64, 256], 'label': '768.87077.64.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918863
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.l1.a1', '32.s1.a1', '32.s1.b1', '32.x1.a1', '32.bd1.a1', '32.bd1.a2', '32.bi1.a1', '32.bi1.a2', '32.bi1.b1', '32.bi1.b2', '32.bi1.c1', '32.bi1.c2', '32.bi1.d1', '32.bi1.d2'], 'contains': ['128.a1.a1', '128.l1.a1', '192.j1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 64, 256], 'label': '768.87077.64.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918864
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.m1.a1', '32.t1.a1', '32.t1.c1', '32.y1.a1', '32.y2.a1', '32.be1.a1', '32.be1.b1', '32.bg1.a1', '32.bg2.a1', '32.bg2.a2', '32.bi1.a1', '32.bi1.a2', '32.bi1.b1', '32.bi1.b2'], 'contains': ['128.a1.a1', '128.m1.a1', '192.k1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 64, 256], 'label': '768.87077.64.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918865
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.m1.a1', '32.t1.b1', '32.t1.d1', '32.y1.b1', '32.y2.a1', '32.be1.c1', '32.be1.d1', '32.bg1.b1', '32.bg2.a1', '32.bg2.a2', '32.bi1.c1', '32.bi1.c2', '32.bi1.d1', '32.bi1.d2'], 'contains': ['128.a1.a1', '128.m1.b1', '192.k1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [442, 64, 256], 'label': '768.87077.64.k1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.k1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.k1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918866
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.a1', '32.t1.a1', '32.t1.d1', '32.z1.a1', '32.z2.a1', '32.be1.a1', '32.be1.c1', '32.bh1.a1', '32.bh2.a1', '32.bh2.a2', '32.bi1.a1', '32.bi1.a2', '32.bi1.c1', '32.bi1.c2'], 'contains': ['128.a1.a1', '192.l1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [32, 64, 256], 'label': '768.87077.64.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918867
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.a1', '32.t1.b1', '32.t1.c1', '32.z1.b1', '32.z2.a1', '32.be1.b1', '32.be1.d1', '32.bh1.b1', '32.bh2.a1', '32.bh2.a2', '32.bi1.b1', '32.bi1.b2', '32.bi1.d1', '32.bi1.d2'], 'contains': ['128.a1.a1', '192.l1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [48, 64, 256], 'label': '768.87077.64.l1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.l1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.l1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918868
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.bj1.a1', '32.bk1.a1', '32.bk1.a2', '32.bl1.a1'], 'contains': ['128.b1.a1', '128.d1.a1', '128.d1.b1', '192.m1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 80, 256], 'label': '768.87077.64.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '64.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918869
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '32.bj1.a1', '32.bm1.a1', '32.bn1.a1', '32.bo1.a1', '32.bp1.a1', '32.bq1.a1', '32.bq2.a1', '32.br1.a1', '32.bs1.a1'], 'contains': ['128.b1.a1', '128.e1.a1', '128.f1.a1', '192.n1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [80, 384, 256], 'label': '768.87077.64.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '64.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918870
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.i1.a1', '32.bk1.a1', '32.bk1.a2', '32.bm1.a1', '32.bt1.a1'], 'contains': ['128.b1.a1', '128.g1.a1', '128.g1.b1', '192.o1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 80, 256], 'label': '768.87077.64.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918871
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '32.bj1.a1', '32.bt1.a1', '32.bu1.a1'], 'contains': ['128.b1.a1', '128.h1.a1', '192.p1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [394, 80, 256], 'label': '768.87077.64.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '64.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918872
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.l1.a1', '4.p1.a1'], 'contains': ['16.g1.a1', '16.n1.a1', '16.p1.a1', '16.dc1.a1', '16.dc1.a2', '24.ba1.a1'], 'core': '16.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 256, 16, 418, 384, 448], 'label': '768.87077.8.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918873
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.j1.a1', '32.bk1.a1', '32.bk1.a2', '32.bn1.a1', '32.bt1.a1', '32.bv1.a1', '32.bv1.b1'], 'contains': ['128.b1.a1', '128.i1.a1', '128.k1.a1', '192.q1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [390, 80, 256], 'label': '768.87077.64.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918874
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.k1.a1', '32.bl1.a1', '32.bo1.a1', '32.bu1.a1', '32.bw1.a1', '32.bw1.a2'], 'contains': ['128.b1.a1', '128.j1.a1', '128.j1.b1', '192.r1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 80, 256], 'label': '768.87077.64.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918875
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.l1.a1', '32.bl1.a1', '32.bp1.a1', '32.bu1.a1'], 'contains': ['128.b1.a1', '128.l1.a1', '192.s1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 80, 256], 'label': '768.87077.64.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '64.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918876
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.m1.a1', '32.bq1.a1', '32.bq2.a1', '32.bw1.a1', '32.bw1.a2'], 'contains': ['128.b1.a1', '128.m1.a1', '128.m1.b1', '192.t1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 80, 256], 'label': '768.87077.64.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918877
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.bx1.a1', '32.by1.a1', '32.bz1.a1', '32.bz1.b1', '32.ca1.a1', '32.ca1.b1', '32.cb1.a1', '32.cb1.b1', '32.cc1.a1', '32.cc1.b1'], 'contains': ['128.c1.a1', '128.d1.a1', '128.d1.b1', '192.u1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 16, 256], 'label': '768.87077.64.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '64.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918878
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.h1.a1', '32.i1.a1', '32.bz1.a1', '32.ca1.a1', '32.cd1.a1', '32.cp1.a1', '32.cq1.a1', '32.cr1.a1', '32.cr1.b1', '32.cs1.a1', '32.cs1.b1'], 'contains': ['128.c1.a1', '128.g1.a1', '192.v1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 16, 256], 'label': '768.87077.64.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '64.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918879
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.h1.b1', '32.i1.a1', '32.bz1.b1', '32.ca1.b1', '32.cd1.a1', '32.cp1.b1', '32.cq1.b1', '32.cr1.c1', '32.cr1.d1', '32.cs1.c1', '32.cs1.d1'], 'contains': ['128.c1.a1', '128.g1.b1', '192.v1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 16, 256], 'label': '768.87077.64.v1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '64.v1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.v1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918880
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '32.bx1.a1', '32.by1.a1', '32.cp1.a1', '32.cp1.b1', '32.cq1.a1', '32.cq1.b1', '32.ct1.a1', '32.ct1.b1', '32.cu1.a1', '32.cu1.b1'], 'contains': ['128.c1.a1', '128.h1.a1', '192.w1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [394, 16, 256], 'label': '768.87077.64.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '64.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918881
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '32.j1.a1', '32.bz1.a1', '32.bz1.b1', '32.ci1.a1', '32.cp1.a1', '32.cp1.b1', '32.cv1.a1', '32.cv1.b1', '32.cw1.a1', '32.cw1.a2'], 'contains': ['128.c1.a1', '128.i1.a1', '192.x1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [454, 16, 256], 'label': '768.87077.64.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '64.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918882
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.e1.a1', '32.k1.a1', '32.cb1.a1', '32.cj1.a1', '32.cr1.a1', '32.cr1.c1', '32.ct1.a1', '32.cv1.a1', '32.cx1.a1', '32.cy1.a1'], 'contains': ['128.c1.a1', '128.j1.a1', '192.y1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [388, 16, 256], 'label': '768.87077.64.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '64.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918883
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '4.l1.a1', '4.n1.a1'], 'contains': ['16.f1.a1', '16.o1.a1', '16.p1.a1', '24.bb1.a1'], 'core': '16.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [32, 256, 16, 2, 64, 384], 'label': '768.87077.8.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918884
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.e1.b1', '32.k1.a1', '32.cb1.b1', '32.cj1.a1', '32.cr1.b1', '32.cr1.d1', '32.ct1.b1', '32.cv1.b1', '32.cx1.b1', '32.cy1.b1'], 'contains': ['128.c1.a1', '128.j1.b1', '192.y1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [452, 16, 256], 'label': '768.87077.64.y1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '64.y1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.y1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918885
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.f1.a1', '32.j1.a1', '32.ca1.a1', '32.ca1.b1', '32.ci1.a1', '32.cq1.a1', '32.cq1.b1', '32.cx1.a1', '32.cx1.b1', '32.cz1.a1', '32.cz1.a2', '32.da1.a1', '32.da1.b1', '32.da1.c1', '32.da1.d1'], 'contains': ['128.c1.a1', '128.k1.a1', '192.z1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [390, 16, 256], 'label': '768.87077.64.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '64.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918886
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.l1.a1', '32.cb1.a1', '32.cb1.b1', '32.ce1.a1', '32.ck1.a1', '32.cs1.a1', '32.cs1.b1', '32.cs1.c1', '32.cs1.d1', '32.ct1.a1', '32.ct1.b1', '32.cw1.a1', '32.cw1.a2', '32.cz1.a1', '32.cz1.a2'], 'contains': ['128.c1.a1', '128.l1.a1', '192.ba1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 16, 256], 'label': '768.87077.64.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '64.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918887
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.m1.a1', '32.cf1.a1', '32.cl1.a1', '32.cy1.a1', '32.cy1.b1'], 'contains': ['128.c1.a1', '128.m1.a1', '128.m1.b1', '192.bb1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 16, 256], 'label': '768.87077.64.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918888
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.g1.a1', '32.n1.a1', '32.cc1.a1', '32.cm1.a1', '32.cs1.a1', '32.cs1.c1', '32.cu1.a1', '32.cv1.b1', '32.cx1.a1', '32.db1.a1'], 'contains': ['128.c1.a1', '192.bc1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 256, 16], 'label': '768.87077.64.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '64.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918889
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.g1.b1', '32.n1.a1', '32.cc1.b1', '32.cm1.a1', '32.cs1.b1', '32.cs1.d1', '32.cu1.b1', '32.cv1.a1', '32.cx1.b1', '32.db1.b1'], 'contains': ['128.c1.a1', '192.bc1.b1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [66, 256, 16], 'label': '768.87077.64.bc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.g1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '64.bc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918890
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.o1.a1', '32.cc1.a1', '32.cc1.b1', '32.cg1.a1', '32.cn1.a1', '32.cr1.a1', '32.cr1.b1', '32.cr1.c1', '32.cr1.d1', '32.cu1.a1', '32.cu1.b1', '32.cw1.a1', '32.cw1.a2', '32.cz1.a1', '32.cz1.a2'], 'contains': ['128.c1.a1', '192.bd1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 256, 16], 'label': '768.87077.64.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '64.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918891
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.q1.a1', '32.bj1.a1', '32.bx1.a1', '32.dc1.a1', '32.dd1.a1', '32.de1.a1', '32.de1.b1'], 'contains': ['128.d1.a1', '128.e1.a1', '128.h1.a1', '192.be1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 384, 256], 'label': '768.87077.64.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '64.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918892
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.q1.b1', '32.bj1.a1', '32.bx1.a1', '32.dc1.b1', '32.dd1.b1', '32.de1.c1', '32.de1.d1'], 'contains': ['128.d1.b1', '128.e1.a1', '128.h1.a1', '192.be1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 384, 256], 'label': '768.87077.64.be1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '64.be1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.be1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918893
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.q1.a1', '32.bj1.a1', '32.by1.a1', '32.df1.a1', '32.df1.b1', '32.dg1.a1', '32.dg1.a2'], 'contains': ['128.d1.a1', '128.f1.a1', '128.h1.a1', '192.bf1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 448, 256], 'label': '768.87077.64.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '64.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918894
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '4.m1.a1', '4.o1.a1'], 'contains': ['16.f1.a1', '16.bd1.a1', '16.ct1.a1', '16.dd1.a1', '24.bc1.a1'], 'core': '16.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 256, 16, 64, 384, 2], 'label': '768.87077.8.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '8.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918895
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.q1.b1', '32.bj1.a1', '32.by1.a1', '32.df1.c1', '32.df1.d1', '32.dg1.b1', '32.dg1.b2'], 'contains': ['128.d1.b1', '128.f1.a1', '128.h1.a1', '192.bf1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 448, 256], 'label': '768.87077.64.bf1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '64.bf1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bf1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918896
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.a1', '32.bk1.a1', '32.bz1.a1', '32.dc1.a1', '32.df1.a1'], 'contains': ['128.d1.a1', '128.g1.a1', '128.i1.a1', '192.bg1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 454, 256], 'label': '768.87077.64.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918897
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.a1', '32.bk1.a2', '32.bz1.b1', '32.dc1.a1', '32.df1.b1'], 'contains': ['128.d1.a1', '128.g1.b1', '128.i1.a1', '192.bg1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [76, 70, 256], 'label': '768.87077.64.bg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.bg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918898
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.b1', '32.bk1.a2', '32.bz1.a1', '32.dc1.b1', '32.df1.c1'], 'contains': ['128.d1.b1', '128.g1.a1', '128.i1.a1', '192.bg1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 454, 256], 'label': '768.87077.64.bg1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.bg1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bg1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918899
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.b1', '32.bk1.a1', '32.bz1.b1', '32.dc1.b1', '32.df1.d1'], 'contains': ['128.d1.b1', '128.g1.b1', '128.i1.a1', '192.bg1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 70, 256], 'label': '768.87077.64.bg1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.bg1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bg1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918900
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.a1', '32.bk1.a2', '32.ca1.a1', '32.dd1.a1', '32.df1.a1', '32.dh1.a1', '32.dh1.b1'], 'contains': ['128.d1.a1', '128.g1.a1', '128.k1.a1', '192.bh1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [12, 6, 256], 'label': '768.87077.64.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918901
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.a1', '32.bk1.a1', '32.ca1.b1', '32.dd1.a1', '32.df1.b1', '32.dh1.c1', '32.dh1.d1'], 'contains': ['128.d1.a1', '128.g1.b1', '128.k1.a1', '192.bh1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [396, 390, 256], 'label': '768.87077.64.bh1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.bh1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bh1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918902
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.b1', '32.bk1.a1', '32.ca1.a1', '32.dd1.b1', '32.df1.c1', '32.dh1.e1', '32.dh1.f1'], 'contains': ['128.d1.b1', '128.g1.a1', '128.k1.a1', '192.bh1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [28, 6, 256], 'label': '768.87077.64.bh1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.bh1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bh1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918903
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.b1', '32.bk1.a2', '32.ca1.b1', '32.dd1.b1', '32.df1.d1', '32.dh1.g1', '32.dh1.h1'], 'contains': ['128.d1.b1', '128.g1.b1', '128.k1.a1', '192.bh1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [412, 390, 256], 'label': '768.87077.64.bh1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '64.bh1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bh1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918904
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.s1.a1', '32.bl1.a1', '32.cb1.a1', '32.de1.a1', '32.dg1.a1', '32.dg1.a2'], 'contains': ['128.d1.a1', '128.j1.a1', '128.l1.a1', '192.bi1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 388, 256], 'label': '768.87077.64.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918905
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.b1', '4.m1.a1', '4.o1.a1'], 'contains': ['16.f1.a1', '16.bd1.b1', '16.ct1.b1', '16.dd1.b1', '24.bc1.b1'], 'core': '16.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 256, 16, 64, 384, 82], 'label': '768.87077.8.bc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '8.bc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918906
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.s1.a1', '32.bl1.a1', '32.cb1.b1', '32.de1.b1', '32.dg1.a1', '32.dg1.a2'], 'contains': ['128.d1.a1', '128.j1.b1', '128.l1.a1', '192.bi1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 256], 'label': '768.87077.64.bi1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.bi1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bi1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918907
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.s1.b1', '32.bl1.a1', '32.cb1.a1', '32.de1.c1', '32.dg1.b1', '32.dg1.b2'], 'contains': ['128.d1.b1', '128.j1.a1', '128.l1.a1', '192.bi1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 388, 256], 'label': '768.87077.64.bi1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.bi1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bi1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918908
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.s1.b1', '32.bl1.a1', '32.cb1.b1', '32.de1.d1', '32.dg1.b1', '32.dg1.b2'], 'contains': ['128.d1.b1', '128.j1.b1', '128.l1.a1', '192.bi1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 452, 256], 'label': '768.87077.64.bi1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.bi1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bi1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918909
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.u1.a1', '32.bm1.a1', '32.cd1.a1', '32.dc1.a1', '32.dc1.b1', '32.dd1.a1', '32.dd1.b1'], 'contains': ['128.e1.a1', '128.g1.a1', '128.g1.b1', '192.bj1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 384, 256], 'label': '768.87077.64.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '64.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918910
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '32.v1.a1', '32.bn1.a1', '32.dc1.a1', '32.dc1.b1', '32.di1.a1', '32.di1.b1'], 'contains': ['128.e1.a1', '128.i1.a1', '192.bk1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454, 384, 256], 'label': '768.87077.64.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '64.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918911
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.e1.a1', '32.w1.a1', '32.bo1.a1', '32.de1.a1', '32.de1.c1', '32.dj1.a1', '32.dj1.b1'], 'contains': ['128.e1.a1', '128.j1.a1', '192.bl1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [388, 384, 256], 'label': '768.87077.64.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918912
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.e1.b1', '32.w1.a1', '32.bo1.a1', '32.de1.b1', '32.de1.d1', '32.dj1.c1', '32.dj1.d1'], 'contains': ['128.e1.a1', '128.j1.b1', '192.bl1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 384, 256], 'label': '768.87077.64.bl1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.bl1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bl1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918913
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.f1.a1', '32.v1.a1', '32.bn1.a1', '32.dd1.a1', '32.dd1.b1', '32.dk1.a1', '32.dk1.b1'], 'contains': ['128.e1.a1', '128.k1.a1', '192.bm1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [390, 384, 256], 'label': '768.87077.64.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '64.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918914
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.x1.a1', '32.bp1.a1', '32.ce1.a1', '32.de1.a1', '32.de1.b1', '32.de1.c1', '32.de1.d1'], 'contains': ['128.e1.a1', '128.l1.a1', '192.bn1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [478, 384, 256], 'label': '768.87077.64.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918915
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y1.a1', '32.bq2.a1', '32.cf1.a1', '32.di1.a1', '32.dj1.b1', '32.dj1.d1', '32.dk1.a1'], 'contains': ['128.e1.a1', '128.m1.a1', '192.bo1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 384, 256], 'label': '768.87077.64.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '64.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918916
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '4.l1.a1', '4.p1.a1'], 'contains': ['16.g1.a1', '16.o1.a1', '16.q1.a1', '24.bd1.a1'], 'core': '16.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 256, 16, 32, 448, 384], 'label': '768.87077.8.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918917
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y1.b1', '32.bq2.a1', '32.cf1.a1', '32.di1.b1', '32.dj1.a1', '32.dj1.c1', '32.dk1.b1'], 'contains': ['128.e1.a1', '128.m1.b1', '192.bo1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [442, 384, 256], 'label': '768.87077.64.bo1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.f1.a1', 'old_label': '64.bo1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bo1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918918
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bo2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y2.a1', '32.bq1.a1', '32.cf1.a1', '32.dj1.a1', '32.dj1.b1', '32.dj1.c1', '32.dj1.d1'], 'contains': ['128.e1.a1', '128.m1.a1', '128.m1.b1', '192.bo2.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 400, 256], 'label': '768.87077.64.bo2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bo2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bo2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918919
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bb1.a1', '32.bs1.a1', '32.ch1.a1', '32.di1.a1', '32.di1.b1', '32.dk1.a1', '32.dk1.b1'], 'contains': ['128.e1.a1', '192.bp1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [40, 400, 256], 'label': '768.87077.64.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.u1.a1', 'old_label': '64.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918920
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.h1.a1', '32.u1.a1', '32.bm1.a1', '32.df1.a1', '32.df1.c1', '32.dl1.a1', '32.dl1.b1'], 'contains': ['128.f1.a1', '128.g1.a1', '192.bq1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 448, 256], 'label': '768.87077.64.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '64.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918921
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.h1.b1', '32.u1.a1', '32.bm1.a1', '32.df1.b1', '32.df1.d1', '32.dl1.c1', '32.dl1.d1'], 'contains': ['128.f1.a1', '128.g1.b1', '192.bq1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 448, 256], 'label': '768.87077.64.bq1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '64.bq1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bq1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918922
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.v1.a1', '32.bn1.a1', '32.ci1.a1', '32.df1.a1', '32.df1.b1', '32.df1.c1', '32.df1.d1'], 'contains': ['128.f1.a1', '128.i1.a1', '128.k1.a1', '192.br1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [454, 448, 256], 'label': '768.87077.64.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '64.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918923
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.w1.a1', '32.bo1.a1', '32.cj1.a1', '32.dg1.a1', '32.dg1.b1', '32.dm1.a1', '32.dm1.b1'], 'contains': ['128.f1.a1', '128.j1.a1', '128.j1.b1', '192.bs1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 448, 256], 'label': '768.87077.64.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918924
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.w1.a1', '32.bo1.a1', '32.cj1.a1', '32.dg1.a2', '32.dg1.b2', '32.dm1.a2', '32.dm1.b2'], 'contains': ['128.f1.a1', '128.j1.a1', '128.j1.b1', '192.bs1.a2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 464, 256], 'label': '768.87077.64.bs1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '64.bs1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bs1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918925
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.x1.a1', '32.bp1.a1', '32.ck1.a1', '32.dg1.a1', '32.dg1.a2', '32.dg1.b1', '32.dg1.b2'], 'contains': ['128.f1.a1', '128.l1.a1', '192.bt1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [478, 448, 256], 'label': '768.87077.64.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918926
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y1.a1', '32.bq1.a1', '32.cl1.a1', '32.dl1.a1', '32.dl1.c1', '32.dm1.b1', '32.dm1.b2'], 'contains': ['128.f1.a1', '128.m1.a1', '192.bu1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [426, 448, 256], 'label': '768.87077.64.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '64.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918927
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.r1.a1', '16.s1.a1', '16.t1.a1', '16.u1.a1', '16.w1.a1', '16.x1.a1', '16.y1.a1', '16.de1.a1', '16.de1.b1', '16.de1.c1', '16.de1.d1', '16.df1.a1', '16.df1.b1', '16.df1.c1', '16.df1.d1', '24.be1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 16, 256, 2, 452, 64], 'label': '768.87077.8.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '8.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918928
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y1.b1', '32.bq1.a1', '32.cl1.a1', '32.dl1.b1', '32.dl1.d1', '32.dm1.a1', '32.dm1.a2'], 'contains': ['128.f1.a1', '128.m1.b1', '192.bu1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [442, 448, 256], 'label': '768.87077.64.bu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.d1.a1', 'old_label': '64.bu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918929
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bu2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y2.a1', '32.bq2.a1', '32.cl1.a1', '32.dm1.a1', '32.dm1.a2', '32.dm1.b1', '32.dm1.b2'], 'contains': ['128.f1.a1', '128.m1.a1', '128.m1.b1', '192.bu2.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 464, 256], 'label': '768.87077.64.bu2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bu2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bu2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918930
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ba1.a1', '32.br1.a1', '32.co1.a1', '32.dl1.a1', '32.dl1.b1', '32.dl1.c1', '32.dl1.d1'], 'contains': ['128.f1.a1', '192.bv1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [418, 464, 256], 'label': '768.87077.64.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.s1.a1', 'old_label': '64.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918931
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bc1.a1', '32.bt1.a1', '32.cp1.a1', '32.dc1.a1', '32.dc1.b1', '32.df1.a1', '32.df1.c1'], 'contains': ['128.g1.a1', '128.h1.a1', '128.i1.a1', '192.bw1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 70, 256], 'label': '768.87077.64.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '64.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918932
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bc1.a1', '32.bt1.a1', '32.cp1.b1', '32.dc1.a1', '32.dc1.b1', '32.df1.b1', '32.df1.d1'], 'contains': ['128.g1.b1', '128.h1.a1', '128.i1.a1', '192.bw1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 454, 256], 'label': '768.87077.64.bw1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '64.bw1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bw1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918933
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bc1.a1', '32.bt1.a1', '32.cq1.a1', '32.dd1.a1', '32.dd1.b1', '32.df1.a1', '32.df1.c1'], 'contains': ['128.g1.a1', '128.h1.a1', '128.k1.a1', '192.bx1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [28, 390, 256], 'label': '768.87077.64.bx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '64.bx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918934
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bc1.a1', '32.bt1.a1', '32.cq1.b1', '32.dd1.a1', '32.dd1.b1', '32.df1.b1', '32.df1.d1'], 'contains': ['128.g1.b1', '128.h1.a1', '128.k1.a1', '192.bx1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [412, 6, 256], 'label': '768.87077.64.bx1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '64.bx1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bx1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918935
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bd1.a1', '32.bu1.a1', '32.ct1.a1', '32.de1.a1', '32.de1.c1', '32.dg1.a2', '32.dg1.b1'], 'contains': ['128.h1.a1', '128.j1.a1', '128.l1.a1', '192.by1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [394, 388, 256], 'label': '768.87077.64.by1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.by1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.by1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918936
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bd1.a2', '32.bu1.a1', '32.ct1.a1', '32.de1.a1', '32.de1.c1', '32.dg1.a1', '32.dg1.b2'], 'contains': ['128.h1.a1', '128.j1.a1', '128.l1.a1', '192.by1.a2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [410, 388, 256], 'label': '768.87077.64.by1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.by1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.by1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918937
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bd1.a1', '32.bu1.a1', '32.ct1.b1', '32.de1.b1', '32.de1.d1', '32.dg1.a1', '32.dg1.b2'], 'contains': ['128.h1.a1', '128.j1.b1', '128.l1.a1', '192.by1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [394, 452, 256], 'label': '768.87077.64.by1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.by1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.by1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918938
{'ambient': '768.87077', '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': '192.a1.a1', 'complements': ['384.d1.a1', '384.d1.b1', '384.h1.a1', '384.g1.b1', '384.g1.a1', '384.l1.a1', '384.m1.a1', '384.m1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.g1.b1', '4.h1.a1', '4.i1.b1', '6.e1.b1'], 'core': '2.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 64, 384, 32, 20, 256, 16, 82], 'label': '768.87077.2.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.g1.b1', '4.h1.a1', '4.i1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.e1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918939
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1'], 'contains': ['16.r1.a1', '16.z1.a1', '16.z1.b1', '16.dg1.a1', '16.dg1.b1', '16.dg1.c1', '16.dg1.d1', '24.bf1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 16, 390, 92, 64, 256], 'label': '768.87077.8.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '8.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918940
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bd1.a2', '32.bu1.a1', '32.ct1.b1', '32.de1.b1', '32.de1.d1', '32.dg1.a2', '32.dg1.b1'], 'contains': ['128.h1.a1', '128.j1.b1', '128.l1.a1', '192.by1.b2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [410, 452, 256], 'label': '768.87077.64.by1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '64.by1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.by1.b2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918941
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg1.a1', '32.bw1.a2', '32.cy1.a1', '32.dj1.b1', '32.dm1.b1', '32.dm1.b2'], 'contains': ['128.j1.a1', '128.m1.a1', '192.bz1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 404, 256], 'label': '768.87077.64.bz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918942
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg1.b1', '32.bw1.a2', '32.cy1.a1', '32.dj1.a1', '32.dm1.a1', '32.dm1.a2'], 'contains': ['128.j1.a1', '128.m1.b1', '192.bz1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 404, 256], 'label': '768.87077.64.bz1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bz1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bz1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918943
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg1.a1', '32.bw1.a1', '32.cy1.b1', '32.dj1.d1', '32.dm1.b1', '32.dm1.b2'], 'contains': ['128.j1.b1', '128.m1.a1', '192.bz1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 468, 256], 'label': '768.87077.64.bz1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bz1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bz1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918944
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg1.b1', '32.bw1.a1', '32.cy1.b1', '32.dj1.c1', '32.dm1.a1', '32.dm1.a2'], 'contains': ['128.j1.b1', '128.m1.b1', '192.bz1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 468, 256], 'label': '768.87077.64.bz1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bz1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bz1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918945
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg2.a1', '32.bw1.a1', '32.cy1.a1', '32.dj1.a1', '32.dj1.b1', '32.dm1.a1', '32.dm1.b2'], 'contains': ['128.j1.a1', '128.m1.a1', '128.m1.b1', '192.bz2.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 388, 256], 'label': '768.87077.64.bz2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bz2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bz2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918946
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg2.a2', '32.bw1.a1', '32.cy1.a1', '32.dj1.a1', '32.dj1.b1', '32.dm1.a2', '32.dm1.b1'], 'contains': ['128.j1.a1', '128.m1.a1', '128.m1.b1', '192.bz2.a2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 388, 256], 'label': '768.87077.64.bz2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bz2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bz2.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918947
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg2.a1', '32.bw1.a2', '32.cy1.b1', '32.dj1.c1', '32.dj1.d1', '32.dm1.a2', '32.dm1.b1'], 'contains': ['128.j1.b1', '128.m1.a1', '128.m1.b1', '192.bz2.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [426, 452, 256], 'label': '768.87077.64.bz2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bz2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bz2.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918948
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg2.a2', '32.bw1.a2', '32.cy1.b1', '32.dj1.c1', '32.dj1.d1', '32.dm1.a1', '32.dm1.b2'], 'contains': ['128.j1.b1', '128.m1.a1', '128.m1.b1', '192.bz2.b2'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [442, 452, 256], 'label': '768.87077.64.bz2.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1.a1', 'old_label': '64.bz2.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bz2.b2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918949
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bf1.a1', '32.bv1.a1', '32.da1.a1', '32.dh1.a1', '32.dh1.c1', '32.dh1.e1', '32.dh1.g1'], 'contains': ['128.k1.a1', '192.ca1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 256, 390], 'label': '768.87077.64.ca1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '64.ca1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ca1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918950
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.u1.a1', '16.v1.a1', '16.ba1.a1', '16.bb1.a1', '16.bc1.a1', '16.bc1.a2', '16.br1.a1', '16.br1.a2', '16.br1.b1', '16.br1.b2', '16.br2.a1', '16.br2.a2', '16.br2.b1', '16.br2.b2', '24.bg1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 256, 64, 32, 452, 16], 'label': '768.87077.8.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '8.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918951
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bf1.a1', '32.bv1.a1', '32.da1.b1', '32.dh1.b1', '32.dh1.d1', '32.dh1.f1', '32.dh1.h1'], 'contains': ['128.k1.a1', '192.ca1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [421, 256, 6], 'label': '768.87077.64.ca1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '64.ca1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ca1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918952
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bf1.b1', '32.bv1.b1', '32.da1.c1', '32.dh1.a1', '32.dh1.d1', '32.dh1.e1', '32.dh1.h1'], 'contains': ['128.k1.a1', '192.ca1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [41, 256, 6], 'label': '768.87077.64.ca1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '64.ca1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ca1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918953
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '64.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bf1.b1', '32.bv1.b1', '32.da1.d1', '32.dh1.b1', '32.dh1.c1', '32.dh1.f1', '32.dh1.g1'], 'contains': ['128.k1.a1', '192.ca1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [105, 256, 6], 'label': '768.87077.64.ca1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.l1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '64.ca1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ca1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918954
{'ambient': '768.87077', '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': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1', '48.j1.a1', '48.k1.a1', '48.l1.a1', '48.m1.a1'], 'contains': ['192.a1.a1', '192.b1.a1', '192.b1.b1', '192.m1.a1', '192.u1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10, 64, 16], 'label': '768.87077.96.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.a1'], 'normal_contains': ['192.a1.a1', '192.b1.a1', '192.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918955
{'ambient': '768.87077', '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': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '48.a1.a1', '48.b1.a1', '48.c1.a1', '48.d1.a1', '48.e1.a1', '48.f1.a1', '48.g1.a1', '48.n1.a1', '48.o1.a1', '48.p1.a1', '48.q1.a1'], 'contains': ['192.a1.a1', '192.c1.a1', '192.d1.a1', '192.e1.a1', '192.n1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64, 384, 16], 'label': '768.87077.96.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1.a1', 'normal_contained_in': ['32.b1.a1', '48.a1.a1', '48.d1.a1', '48.c1.a1', '48.b1.a1', '48.e1.a1', '48.f1.a1', '48.g1.a1'], 'normal_contains': ['192.a1.a1', '192.d1.a1', '192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918956
{'ambient': '768.87077', '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': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '48.a1.a1', '48.r1.a1', '48.u1.a1', '48.v1.a1', '48.w1.a1'], 'contains': ['192.a1.a1', '192.g1.a1', '192.p1.a1', '192.w1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [394, 64, 16], 'label': '768.87077.96.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1.a1', 'normal_contained_in': ['32.c1.a1', '48.a1.a1'], 'normal_contains': ['192.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918975
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.q1.a1', '48.a1.a1', '48.be1.a1', '48.bf1.a1', '48.bg1.a1', '48.bg1.b1', '48.bg2.a1', '48.bh1.a1'], 'contains': ['192.b1.a1', '192.e1.a1', '192.g1.a1', '192.be1.a1', '192.bf1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 64, 384], 'label': '768.87077.96.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918957
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '48.c1.a1', '48.h1.a1', '48.h1.b1', '48.bz1.a1', '48.cl1.a1', '48.cm1.a1'], 'contains': ['192.c1.a1', '192.x1.a1', '192.bk1.a1'], 'core': '96.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [454, 384, 16], 'label': '768.87077.96.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.d1.a1', 'normal_contained_in': ['32.d1.a1', '48.c1.a1', '48.h1.b1', '48.h1.a1'], 'normal_contains': ['192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918958
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.e1.a1', '48.d1.a1', '48.h1.a1', '48.i1.a1', '48.cb1.a1', '48.cj1.a1', '48.cn1.a1', '48.co1.a1'], 'contains': ['192.c1.a1', '192.y1.a1', '192.bl1.a1'], 'core': '96.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [388, 384, 16], 'label': '768.87077.96.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1.a1', 'normal_contained_in': ['32.e1.a1', '48.d1.a1', '48.h1.a1', '48.i1.a1'], 'normal_contains': ['192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918959
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.e1.b1', '48.d1.a1', '48.h1.b1', '48.i1.b1', '48.cb1.b1', '48.cj1.b1', '48.cn1.b1', '48.co1.b1'], 'contains': ['192.c1.a1', '192.y1.b1', '192.bl1.b1'], 'core': '96.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [452, 384, 16], 'label': '768.87077.96.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1.b1', 'normal_contained_in': ['32.e1.b1', '48.d1.a1', '48.h1.b1', '48.i1.b1'], 'normal_contains': ['192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.e1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.e1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918960
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.f1.a1', '48.c1.a1', '48.i1.a1', '48.i1.b1', '48.ca1.a1', '48.cp1.a1', '48.cq1.a1', '48.cr1.a1', '48.cr1.b1', '48.cr1.c1', '48.cr1.d1'], 'contains': ['192.c1.a1', '192.z1.a1', '192.bm1.a1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [390, 384, 16], 'label': '768.87077.96.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.f1.a1', 'normal_contained_in': ['32.f1.a1', '48.c1.a1', '48.i1.b1', '48.i1.a1'], 'normal_contains': ['192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918961
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.m1.a1'], 'contains': ['16.w1.a1', '16.bd1.a1', '16.bd1.b1', '24.bh1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 256, 16, 392, 2, 80], 'label': '768.87077.8.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.m1.a1', 'old_label': '8.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918962
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.g1.a1', '48.f1.a1', '48.h1.b1', '48.i1.a1', '48.cc1.a1', '48.ck1.a1', '48.cs1.a1', '48.ct1.a1'], 'contains': ['192.c1.a1', '192.bc1.a1'], 'core': '96.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 384], 'label': '768.87077.96.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.g1.a1', 'normal_contained_in': ['32.g1.a1', '48.f1.a1', '48.h1.b1', '48.i1.a1'], 'normal_contains': ['192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918963
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.g1.b1', '48.f1.a1', '48.h1.a1', '48.i1.b1', '48.cc1.b1', '48.ck1.b1', '48.cs1.b1', '48.ct1.b1'], 'contains': ['192.c1.a1', '192.bc1.b1'], 'core': '96.g1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [66, 384], 'label': '768.87077.96.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.g1.b1', 'normal_contained_in': ['32.g1.b1', '48.f1.a1', '48.h1.a1', '48.i1.b1'], 'normal_contains': ['192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.g1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.g1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918964
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.h1.a1', '48.b1.a1', '48.cd1.a1', '48.cu1.a1', '48.cv1.a1', '48.cw1.a1'], 'contains': ['192.d1.a1', '192.v1.a1', '192.bq1.a1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [476, 448, 16], 'label': '768.87077.96.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.h1.a1', 'normal_contained_in': ['32.h1.a1', '48.b1.a1'], 'normal_contains': ['192.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918965
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.h1.b1', '48.b1.a1', '48.cd1.b1', '48.cu1.b1', '48.cv1.b1', '48.cw1.b1'], 'contains': ['192.d1.a1', '192.v1.b1', '192.bq1.b1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [92, 448, 16], 'label': '768.87077.96.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.h1.b1', 'normal_contained_in': ['32.h1.b1', '48.b1.a1'], 'normal_contains': ['192.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918966
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.i1.a1', '48.b1.a1', '48.j1.a1', '48.r1.a1', '48.s1.a1', '48.t1.a1'], 'contains': ['192.a1.a1', '192.f1.a1', '192.o1.a1', '192.v1.a1', '192.v1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 64, 16], 'label': '768.87077.96.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918967
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.j1.a1', '48.c1.a1', '48.j1.a1', '48.r1.a1', '48.x1.a1', '48.y1.a1', '48.z1.a1', '48.z1.b1'], 'contains': ['192.a1.a1', '192.h1.a1', '192.q1.a1', '192.x1.a1', '192.z1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [390, 64, 16], 'label': '768.87077.96.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918968
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.k1.a1', '48.d1.a1', '48.k1.a1', '48.s1.a1', '48.u1.a1', '48.x1.a1', '48.ba1.a1', '48.bb1.a1'], 'contains': ['192.a1.a1', '192.i1.a1', '192.r1.a1', '192.y1.a1', '192.y1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [452, 64, 16], 'label': '768.87077.96.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918969
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.l1.a1', '48.e1.a1', '48.k1.a1', '48.t1.a1', '48.u1.a1', '48.y1.a1', '48.bc1.a1', '48.bc1.a2'], 'contains': ['192.a1.a1', '192.j1.a1', '192.s1.a1', '192.ba1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [478, 64, 16], 'label': '768.87077.96.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918970
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.m1.a1', '48.l1.a1', '48.n1.a1', '48.v1.a1', '48.ba1.a1', '48.bc1.a1', '48.bc1.a2'], 'contains': ['192.a1.a1', '192.k1.a1', '192.k1.b1', '192.t1.a1', '192.bb1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 64, 16], 'label': '768.87077.96.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918971
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.m1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.n1.a1', '48.f1.a1', '48.m1.a1', '48.t1.a1', '48.w1.a1', '48.x1.a1', '48.bd1.a1', '48.bd1.b1'], 'contains': ['192.a1.a1', '192.bc1.a1', '192.bc1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 64], 'label': '768.87077.96.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '96.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918972
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1'], 'contains': ['16.be1.a1', '16.bg1.a1', '16.bh1.a1', '16.bk1.a1', '16.bl1.a1', '16.bm1.a1', '16.bn1.a1', '24.bi1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 256, 384, 32, 454, 448], 'label': '768.87077.8.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '8.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918973
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.o1.a1', '48.g1.a1', '48.m1.a1', '48.s1.a1', '48.w1.a1', '48.y1.a1'], 'contains': ['192.a1.a1', '192.bd1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 64], 'label': '768.87077.96.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '96.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918974
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.p1.a1', '48.l1.a1', '48.o1.a1', '48.v1.a1', '48.bb1.a1', '48.bc1.a1', '48.bc1.a2'], 'contains': ['192.a1.a1', '192.l1.a1', '192.l1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32, 16], 'label': '768.87077.96.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918976
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.q1.b1', '48.a1.a1', '48.be1.b1', '48.bf1.b1', '48.bg1.c1', '48.bg1.d1', '48.bg2.b1', '48.bh1.b1'], 'contains': ['192.b1.b1', '192.e1.a1', '192.g1.a1', '192.be1.b1', '192.bf1.b1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26, 64, 384], 'label': '768.87077.96.q1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.q1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.q1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918977
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.a1', '48.j1.a1', '48.be1.a1', '48.bi1.a1'], 'contains': ['192.b1.a1', '192.f1.a1', '192.h1.a1', '192.bg1.a1', '192.bg1.b1', '192.bh1.a1', '192.bh1.b1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 390, 64], 'label': '768.87077.96.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '96.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918978
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.r1.b1', '48.j1.a1', '48.be1.b1', '48.bi1.b1'], 'contains': ['192.b1.b1', '192.f1.a1', '192.h1.a1', '192.bg1.c1', '192.bg1.d1', '192.bh1.c1', '192.bh1.d1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 390, 64], 'label': '768.87077.96.r1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '96.r1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.r1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918979
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.s1.a1', '48.k1.a1', '48.bf1.a1', '48.bj1.a1', '48.bj1.b1', '48.bj2.a1', '48.bj2.a2'], 'contains': ['192.b1.a1', '192.i1.a1', '192.j1.a1', '192.bi1.a1', '192.bi1.b1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 452, 64], 'label': '768.87077.96.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '96.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918980
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.s1.b1', '48.k1.a1', '48.bf1.b1', '48.bj1.c1', '48.bj1.d1', '48.bj2.b1', '48.bj2.b2'], 'contains': ['192.b1.b1', '192.i1.a1', '192.j1.a1', '192.bi1.c1', '192.bi1.d1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 452, 64], 'label': '768.87077.96.s1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '96.s1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.s1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918981
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.t1.a1', '48.l1.a1', '48.bg1.a1', '48.bg2.a1', '48.bj1.a1', '48.bj2.a1', '48.bj2.a2'], 'contains': ['192.b1.a1', '192.k1.a1', '192.l1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 32], 'label': '768.87077.96.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918982
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.t1.b1', '48.l1.a1', '48.bg1.b1', '48.bg2.a1', '48.bj1.b1', '48.bj2.a1', '48.bj2.a2'], 'contains': ['192.b1.a1', '192.k1.b1', '192.l1.b1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [10, 48], 'label': '768.87077.96.t1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.t1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.t1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918983
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1'], 'contains': ['16.be1.a1', '16.bg1.b1', '16.bh1.a1', '16.bk1.b1', '16.bl1.b1', '16.bm1.b1', '16.bn1.b1', '24.bi1.b1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 256, 384, 48, 454, 448], 'label': '768.87077.8.bi1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '8.bi1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bi1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918984
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.t1.c1', '48.l1.a1', '48.bg1.c1', '48.bg2.b1', '48.bj1.c1', '48.bj2.b1', '48.bj2.b2'], 'contains': ['192.b1.b1', '192.k1.a1', '192.l1.b1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 48], 'label': '768.87077.96.t1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.t1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.t1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918985
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.t1.d1', '48.l1.a1', '48.bg1.d1', '48.bg2.b1', '48.bj1.d1', '48.bj2.b1', '48.bj2.b2'], 'contains': ['192.b1.b1', '192.k1.b1', '192.l1.a1'], 'core': '192.b1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26, 32], 'label': '768.87077.96.t1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.t1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.t1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918986
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.u1.a1', '48.b1.a1', '48.be1.a1', '48.be1.b1', '48.bk1.a1', '48.bk1.b1', '48.bl1.a1', '48.bl1.b1'], 'contains': ['192.e1.a1', '192.f1.a1', '192.bj1.a1', '192.bq1.a1', '192.bq1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 64, 384], 'label': '768.87077.96.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '96.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918987
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.v1.a1', '48.c1.a1', '48.be1.a1', '48.be1.b1', '48.bm1.a1', '48.bm1.b1', '48.bn1.a1', '48.bn1.b1'], 'contains': ['192.e1.a1', '192.h1.a1', '192.bk1.a1', '192.bm1.a1', '192.br1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454, 64, 384], 'label': '768.87077.96.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '96.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918988
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.w1.a1', '48.d1.a1', '48.bf1.a1', '48.bf1.b1', '48.bo1.a1', '48.bo1.b1', '48.bp1.a1', '48.bp1.b1'], 'contains': ['192.e1.a1', '192.i1.a1', '192.bl1.a1', '192.bl1.b1', '192.bs1.a1', '192.bs1.a2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 64, 384], 'label': '768.87077.96.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '96.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918989
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.x1.a1', '48.e1.a1', '48.bf1.a1', '48.bf1.b1', '48.bq1.a1', '48.bq1.b1', '48.bq2.a1', '48.bq2.b1'], 'contains': ['192.e1.a1', '192.j1.a1', '192.bn1.a1', '192.bt1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 64, 384], 'label': '768.87077.96.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '96.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918990
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y1.a1', '48.n1.a1', '48.bg1.a1', '48.bg1.c1', '48.bk1.a1', '48.bm1.a1', '48.bo1.b1', '48.bq2.a1'], 'contains': ['192.e1.a1', '192.k1.a1', '192.bo1.a1', '192.bu1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [426, 64, 384], 'label': '768.87077.96.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '96.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918991
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y1.b1', '48.n1.a1', '48.bg1.b1', '48.bg1.d1', '48.bk1.b1', '48.bm1.b1', '48.bo1.a1', '48.bq2.b1'], 'contains': ['192.e1.a1', '192.k1.b1', '192.bo1.b1', '192.bu1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [442, 64, 384], 'label': '768.87077.96.y1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '96.y1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.y1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918992
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.y2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.y2.a1', '48.n1.a1', '48.bg2.a1', '48.bg2.b1', '48.bo1.a1', '48.bo1.b1', '48.bq1.a1', '48.bq1.b1'], 'contains': ['192.e1.a1', '192.k1.a1', '192.k1.b1', '192.bo2.a1', '192.bu2.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 64, 400], 'label': '768.87077.96.y2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.y2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.y2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918993
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.z1.a1', '48.o1.a1', '48.bg1.a1', '48.bg1.d1', '48.bl1.a1', '48.bn1.a1', '48.bp1.b1', '48.bq1.a1'], 'contains': ['192.e1.a1', '192.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [32, 384], 'label': '768.87077.96.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '96.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918994
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1'], 'contains': ['16.be1.b1', '16.bg1.c1', '16.bh1.b1', '16.bk1.a1', '16.bl1.b1', '16.bm1.a1', '16.bn1.b1', '24.bi1.c1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 256, 384, 48, 454, 448], 'label': '768.87077.8.bi1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '8.bi1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bi1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919133
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.di1.a1', '48.bm1.a1', '48.bw1.a1', '48.cm1.a1'], 'contains': ['192.bk1.a1', '192.bo1.a1', '192.bp1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [56, 454], 'label': '768.87077.96.di1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.q1.a1', 'old_label': '96.di1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.di1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918995
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.z1.b1', '48.o1.a1', '48.bg1.b1', '48.bg1.c1', '48.bl1.b1', '48.bn1.b1', '48.bp1.a1', '48.bq1.b1'], 'contains': ['192.e1.a1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [48, 384], 'label': '768.87077.96.z1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '96.z1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.z1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918996
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.z2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.z2.a1', '48.o1.a1', '48.bg2.a1', '48.bg2.b1', '48.bp1.a1', '48.bp1.b1', '48.bq2.a1', '48.bq2.b1'], 'contains': ['192.e1.a1', '192.l1.a1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32, 400], 'label': '768.87077.96.z2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.z2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.z2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918997
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ba1.a1', '48.p1.a1', '48.bh1.a1', '48.bh1.b1', '48.bk1.a1', '48.bk1.b1', '48.bn1.a1', '48.bn1.b1'], 'contains': ['192.e1.a1', '192.bv1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [418, 400], 'label': '768.87077.96.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '96.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918998
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bb1.a1', '48.q1.a1', '48.bh1.a1', '48.bh1.b1', '48.bl1.a1', '48.bl1.b1', '48.bm1.a1', '48.bm1.b1'], 'contains': ['192.e1.a1', '192.bp1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [40, 64], 'label': '768.87077.96.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.c1.a1', 'old_label': '96.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59918999
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bc1.a1', '48.r1.a1', '48.be1.a1', '48.be1.b1'], 'contains': ['192.f1.a1', '192.g1.a1', '192.h1.a1', '192.bw1.a1', '192.bw1.b1', '192.bx1.a1', '192.bx1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 454, 64], 'label': '768.87077.96.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919000
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bd1.a1', '48.u1.a1', '48.bf1.a1', '48.bf1.b1', '48.br1.a1', '48.br1.b1', '48.br2.a1', '48.br2.b1'], 'contains': ['192.g1.a1', '192.i1.a1', '192.j1.a1', '192.by1.a1', '192.by1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 452, 64], 'label': '768.87077.96.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '96.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919001
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bd1.a2', '48.u1.a1', '48.bf1.a1', '48.bf1.b1', '48.br1.a2', '48.br1.b2', '48.br2.a2', '48.br2.b2'], 'contains': ['192.g1.a1', '192.i1.a1', '192.j1.a1', '192.by1.a2', '192.by1.b2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [410, 452, 64], 'label': '768.87077.96.bd1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '96.bd1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bd1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919002
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.be1.a1', '48.v1.a1', '48.bg1.a1', '48.bg2.b1', '48.br1.a1', '48.br1.a2', '48.br2.a1', '48.br2.a2'], 'contains': ['192.g1.a1', '192.k1.a1', '192.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [394, 32], 'label': '768.87077.96.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919003
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.be1.b1', '48.v1.a1', '48.bg1.c1', '48.bg2.a1', '48.br1.b1', '48.br1.b2', '48.br2.a1', '48.br2.a2'], 'contains': ['192.g1.a1', '192.k1.a1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [410, 48], 'label': '768.87077.96.be1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.be1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.be1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919004
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.be1.c1', '48.v1.a1', '48.bg1.d1', '48.bg2.a1', '48.br1.a1', '48.br1.a2', '48.br2.b1', '48.br2.b2'], 'contains': ['192.g1.a1', '192.k1.b1', '192.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [410, 32], 'label': '768.87077.96.be1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.be1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.be1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919005
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1'], 'contains': ['16.be1.b1', '16.bg1.d1', '16.bh1.b1', '16.bk1.b1', '16.bl1.a1', '16.bm1.b1', '16.bn1.a1', '24.bi1.d1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 256, 384, 32, 454, 448], 'label': '768.87077.8.bi1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '8.bi1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bi1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919006
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.be1.d1', '48.v1.a1', '48.bg1.b1', '48.bg2.b1', '48.br1.b1', '48.br1.b2', '48.br2.b1', '48.br2.b2'], 'contains': ['192.g1.a1', '192.k1.b1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [394, 48], 'label': '768.87077.96.be1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.be1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.be1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919007
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bf1.a1', '48.z1.a1', '48.bi1.a1', '48.bi1.b1'], 'contains': ['192.h1.a1', '192.ca1.a1', '192.ca1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 64], 'label': '768.87077.96.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919008
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bf1.b1', '48.z1.b1', '48.bi1.a1', '48.bi1.b1'], 'contains': ['192.h1.a1', '192.ca1.c1', '192.ca1.d1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [41, 64], 'label': '768.87077.96.bf1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.bf1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bf1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919009
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg1.a1', '48.ba1.a1', '48.bj1.a1', '48.bj1.c1', '48.bo1.b1', '48.br2.a1', '48.br2.a2'], 'contains': ['192.i1.a1', '192.k1.a1', '192.bz1.a1', '192.bz1.c1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 468, 64], 'label': '768.87077.96.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919010
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg1.b1', '48.ba1.a1', '48.bj1.b1', '48.bj1.d1', '48.bo1.a1', '48.br2.b1', '48.br2.b2'], 'contains': ['192.i1.a1', '192.k1.b1', '192.bz1.b1', '192.bz1.d1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [442, 468, 64], 'label': '768.87077.96.bg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919011
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg2.a1', '48.ba1.a1', '48.bj2.a1', '48.bj2.b1', '48.bo1.a1', '48.bo1.b1', '48.br1.a1', '48.br1.b2'], 'contains': ['192.i1.a1', '192.k1.a1', '192.k1.b1', '192.bz2.a1', '192.bz2.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 452, 64], 'label': '768.87077.96.bg2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bg2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bg2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919012
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bg2.a2', '48.ba1.a1', '48.bj2.a2', '48.bj2.b2', '48.bo1.a1', '48.bo1.b1', '48.br1.a2', '48.br1.b1'], 'contains': ['192.i1.a1', '192.k1.a1', '192.k1.b1', '192.bz2.a2', '192.bz2.b2'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [442, 452, 64], 'label': '768.87077.96.bg2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bg2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bg2.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919013
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bh1.a1', '48.bb1.a1', '48.bj1.a1', '48.bj1.d1', '48.bp1.b1', '48.br1.a1', '48.br1.a2'], 'contains': ['192.i1.a1', '192.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32, 452], 'label': '768.87077.96.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919014
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bh1.b1', '48.bb1.a1', '48.bj1.b1', '48.bj1.c1', '48.bp1.a1', '48.br1.b1', '48.br1.b2'], 'contains': ['192.i1.a1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [48, 452], 'label': '768.87077.96.bh1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bh1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bh1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919015
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bh2.a1', '48.bb1.a1', '48.bj2.a1', '48.bj2.b2', '48.bp1.a1', '48.bp1.b1', '48.br2.a1', '48.br2.b2'], 'contains': ['192.i1.a1', '192.l1.a1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32, 468], 'label': '768.87077.96.bh2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bh2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bh2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919016
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.bf1.a1', '16.bg1.b1', '16.bg2.a1', '16.bj1.b1', '16.bj2.a1', '16.bj2.a2', '16.bo1.a1', '16.bp1.a1', '16.bq1.b1', '16.bq2.b1', '16.br1.b1', '16.br1.b2', '16.br2.b1', '16.br2.b2', '24.bj1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 64, 48, 452, 384], 'label': '768.87077.8.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '8.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919017
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.u1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bh2.a2', '48.bb1.a1', '48.bj2.a2', '48.bj2.b1', '48.bp1.a1', '48.bp1.b1', '48.br2.a2', '48.br2.b1'], 'contains': ['192.i1.a1', '192.l1.a1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [48, 468], 'label': '768.87077.96.bh2.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bh2.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bh2.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919018
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bi1.a1', '48.bc1.a1', '48.bj1.a1', '48.bj2.b1', '48.bq1.a1', '48.bq2.a1', '48.br1.a2', '48.br2.a1'], 'contains': ['192.j1.a1', '192.k1.a1', '192.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [78, 32], 'label': '768.87077.96.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919019
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bi1.a2', '48.bc1.a2', '48.bj1.a1', '48.bj2.b2', '48.bq1.a1', '48.bq2.a1', '48.br1.a1', '48.br2.a2'], 'contains': ['192.j1.a1', '192.k1.a1', '192.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [478, 32], 'label': '768.87077.96.bi1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bi1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919020
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bi1.b1', '48.bc1.a1', '48.bj1.c1', '48.bj2.a1', '48.bq1.b1', '48.bq2.a1', '48.br1.b1', '48.br2.a2'], 'contains': ['192.j1.a1', '192.k1.a1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [94, 48], 'label': '768.87077.96.bi1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bi1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919021
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bi1.b2', '48.bc1.a2', '48.bj1.c1', '48.bj2.a2', '48.bq1.b1', '48.bq2.a1', '48.br1.b2', '48.br2.a1'], 'contains': ['192.j1.a1', '192.k1.a1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [462, 48], 'label': '768.87077.96.bi1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bi1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1.b2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919022
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bi1.c1', '48.bc1.a1', '48.bj1.d1', '48.bj2.a2', '48.bq1.a1', '48.bq2.b1', '48.br1.a1', '48.br2.b2'], 'contains': ['192.j1.a1', '192.k1.b1', '192.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [94, 32], 'label': '768.87077.96.bi1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bi1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919023
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bi1.c2', '48.bc1.a2', '48.bj1.d1', '48.bj2.a1', '48.bq1.a1', '48.bq2.b1', '48.br1.a2', '48.br2.b1'], 'contains': ['192.j1.a1', '192.k1.b1', '192.l1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [462, 32], 'label': '768.87077.96.bi1.c2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bi1.c2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1.c2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919024
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bi1.d1', '48.bc1.a1', '48.bj1.b1', '48.bj2.b2', '48.bq1.b1', '48.bq2.b1', '48.br1.b2', '48.br2.b1'], 'contains': ['192.j1.a1', '192.k1.b1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [78, 48], 'label': '768.87077.96.bi1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bi1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919025
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bi1.d2', '48.bc1.a2', '48.bj1.b1', '48.bj2.b1', '48.bq1.b1', '48.bq2.b1', '48.br1.b1', '48.br2.b2'], 'contains': ['192.j1.a1', '192.k1.b1', '192.l1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [478, 48], 'label': '768.87077.96.bi1.d2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.e1.a1', 'old_label': '96.bi1.d2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1.d2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919026
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bj1.a1', '48.a1.a1', '48.bs1.a1', '48.bt1.a1'], 'contains': ['192.m1.a1', '192.n1.a1', '192.p1.a1', '192.be1.a1', '192.be1.b1', '192.bf1.a1', '192.bf1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 80, 384], 'label': '768.87077.96.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919027
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.bf1.a1', '16.bg1.a1', '16.bg2.a1', '16.bj1.a1', '16.bj2.a1', '16.bj2.a2', '16.bo1.b1', '16.bp1.b1', '16.bq1.a1', '16.bq2.a1', '16.br1.a1', '16.br1.a2', '16.br2.a1', '16.br2.a2', '24.bj1.b1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 256, 64, 32, 452, 384], 'label': '768.87077.8.bj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '8.bj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919028
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bk1.a1', '48.j1.a1', '48.bs1.a1', '48.bu1.a1'], 'contains': ['192.m1.a1', '192.o1.a1', '192.q1.a1', '192.bg1.a1', '192.bg1.d1', '192.bh1.b1', '192.bh1.c1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 390, 80], 'label': '768.87077.96.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '96.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919029
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bk1.a2', '48.j1.a1', '48.bs1.a1', '48.bu1.a2'], 'contains': ['192.m1.a1', '192.o1.a1', '192.q1.a1', '192.bg1.b1', '192.bg1.c1', '192.bh1.a1', '192.bh1.d1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [460, 390, 80], 'label': '768.87077.96.bk1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '96.bk1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bk1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919030
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bl1.a1', '48.k1.a1', '48.bt1.a1'], 'contains': ['192.m1.a1', '192.r1.a1', '192.s1.a1', '192.bi1.a1', '192.bi1.b1', '192.bi1.c1', '192.bi1.d1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 80], 'label': '768.87077.96.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919031
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bm1.a1', '48.b1.a1', '48.bs1.a1', '48.bv1.a1'], 'contains': ['192.n1.a1', '192.o1.a1', '192.bj1.a1', '192.bq1.a1', '192.bq1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 80, 384], 'label': '768.87077.96.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '96.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919032
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bn1.a1', '48.c1.a1', '48.bs1.a1', '48.bw1.a1'], 'contains': ['192.n1.a1', '192.q1.a1', '192.bk1.a1', '192.bm1.a1', '192.br1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [454, 80, 384], 'label': '768.87077.96.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1.a1', 'old_label': '96.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919033
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bo1.a1', '48.d1.a1', '48.bt1.a1', '48.bx1.a1'], 'contains': ['192.n1.a1', '192.r1.a1', '192.bl1.a1', '192.bl1.b1', '192.bs1.a1', '192.bs1.a2'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [452, 80, 384], 'label': '768.87077.96.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '96.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919034
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bp1.a1', '48.e1.a1', '48.bt1.a1', '48.by1.a1'], 'contains': ['192.n1.a1', '192.s1.a1', '192.bn1.a1', '192.bt1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [478, 80, 384], 'label': '768.87077.96.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1.a1', 'old_label': '96.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919035
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bq1.a1', '48.n1.a1', '48.bv1.a1', '48.bx1.a1'], 'contains': ['192.n1.a1', '192.t1.a1', '192.bo2.a1', '192.bu1.a1', '192.bu1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 80, 400], 'label': '768.87077.96.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '96.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919036
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bq2.a1', '48.n1.a1', '48.bw1.a1', '48.bx1.a1'], 'contains': ['192.n1.a1', '192.t1.a1', '192.bo1.a1', '192.bo1.b1', '192.bu2.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 80, 384], 'label': '768.87077.96.bq2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '96.bq2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bq2.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919037
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.br1.a1', '48.p1.a1', '48.bv1.a1', '48.by1.a1'], 'contains': ['192.n1.a1', '192.bv1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [418, 384], 'label': '768.87077.96.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.k1.a1', 'old_label': '96.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919038
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.bf1.b1', '16.bg1.d1', '16.bg2.b1', '16.bj1.d1', '16.bj2.b1', '16.bj2.b2', '16.bo1.a1', '16.bp1.b1', '16.bq1.a1', '16.bq2.b1', '16.br1.a1', '16.br1.a2', '16.br2.b1', '16.br2.b2', '24.bj1.c1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 64, 32, 452, 384], 'label': '768.87077.8.bj1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '8.bj1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bj1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919039
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bs1.a1', '48.q1.a1', '48.bw1.a1', '48.by1.a1'], 'contains': ['192.n1.a1', '192.bp1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [40, 80], 'label': '768.87077.96.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.p1.a1', 'old_label': '96.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919040
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bt1.a1', '48.r1.a1', '48.bs1.a1'], 'contains': ['192.o1.a1', '192.p1.a1', '192.q1.a1', '192.bw1.a1', '192.bw1.b1', '192.bx1.a1', '192.bx1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 390, 80], 'label': '768.87077.96.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919041
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bu1.a1', '48.u1.a1', '48.bt1.a1'], 'contains': ['192.p1.a1', '192.r1.a1', '192.s1.a1', '192.by1.a1', '192.by1.a2', '192.by1.b1', '192.by1.b2'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [394, 452, 80], 'label': '768.87077.96.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919042
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bv1.a1', '48.z1.a1', '48.bu1.a1', '48.bu1.a2'], 'contains': ['192.q1.a1', '192.ca1.a1', '192.ca1.b1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 80], 'label': '768.87077.96.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919043
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bv1.b1', '48.z1.b1', '48.bu1.a1', '48.bu1.a2'], 'contains': ['192.q1.a1', '192.ca1.c1', '192.ca1.d1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [41, 80], 'label': '768.87077.96.bv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.bv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919044
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bw1.a1', '48.ba1.a1', '48.bx1.a1'], 'contains': ['192.r1.a1', '192.t1.a1', '192.bz1.c1', '192.bz1.d1', '192.bz2.a1', '192.bz2.a2'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 468, 80], 'label': '768.87077.96.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919045
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bw1.a2', '48.ba1.a1', '48.bx1.a1'], 'contains': ['192.r1.a1', '192.t1.a1', '192.bz1.a1', '192.bz1.b1', '192.bz2.b1', '192.bz2.b2'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 452, 80], 'label': '768.87077.96.bw1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.bw1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bw1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919046
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bx1.a1', '48.a1.a1', '48.bz1.a1', '48.ca1.a1', '48.cb1.a1', '48.cb1.b1', '48.cc1.a1', '48.cc1.b1'], 'contains': ['192.c1.a1', '192.u1.a1', '192.w1.a1', '192.be1.a1', '192.be1.b1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 384, 16], 'label': '768.87077.96.bx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.bx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919047
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.by1.a1', '48.a1.a1', '48.cd1.a1', '48.cd1.b1', '48.ce1.a1', '48.cf1.a1'], 'contains': ['192.d1.a1', '192.u1.a1', '192.w1.a1', '192.bf1.a1', '192.bf1.b1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 448, 16], 'label': '768.87077.96.by1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.by1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.by1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919048
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bz1.a1', '48.j1.a1', '48.bz1.a1', '48.cd1.a1', '48.cg1.a1', '48.cg1.b1'], 'contains': ['192.u1.a1', '192.v1.a1', '192.x1.a1', '192.bg1.a1', '192.bg1.c1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 454, 16], 'label': '768.87077.96.bz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.bz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919049
{'ambient': '768.87077', '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': '192.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.c1.a1', '6.d1.a1', '6.d1.b1', '6.e1.a1', '6.e1.b1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 8, 32], 'label': '768.87077.3.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919050
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.d1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.bf1.b1', '16.bg1.c1', '16.bg2.b1', '16.bj1.c1', '16.bj2.b1', '16.bj2.b2', '16.bo1.b1', '16.bp1.a1', '16.bq1.b1', '16.bq2.a1', '16.br1.b1', '16.br1.b2', '16.br2.a1', '16.br2.a2', '24.bj1.d1'], 'core': '64.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26, 256, 64, 48, 452, 384], 'label': '768.87077.8.bj1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.b1.a1', 'old_label': '8.bj1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bj1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919051
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.bz1.b1', '48.j1.a1', '48.bz1.a1', '48.cd1.b1', '48.cg1.c1', '48.cg1.d1'], 'contains': ['192.u1.a1', '192.v1.b1', '192.x1.a1', '192.bg1.b1', '192.bg1.d1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 70, 16], 'label': '768.87077.96.bz1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.bz1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bz1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919052
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ca1.a1', '48.j1.a1', '48.ca1.a1', '48.cd1.a1', '48.ch1.a1', '48.ch1.b1', '48.ci1.a1', '48.ci1.b1'], 'contains': ['192.u1.a1', '192.v1.a1', '192.z1.a1', '192.bh1.a1', '192.bh1.c1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28, 6, 16], 'label': '768.87077.96.ca1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.ca1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ca1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919053
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ca1.b1', '48.j1.a1', '48.ca1.a1', '48.cd1.b1', '48.ch1.c1', '48.ch1.d1', '48.ci1.c1', '48.ci1.d1'], 'contains': ['192.u1.a1', '192.v1.b1', '192.z1.a1', '192.bh1.b1', '192.bh1.d1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [412, 390, 16], 'label': '768.87077.96.ca1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.ca1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ca1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919054
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cb1.a1', '48.k1.a1', '48.cb1.a1', '48.ce1.a1', '48.cg1.a1', '48.cg1.c1', '48.ch1.a1', '48.ch1.c1'], 'contains': ['192.u1.a1', '192.y1.a1', '192.ba1.a1', '192.bi1.a1', '192.bi1.c1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 388, 16], 'label': '768.87077.96.cb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919055
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cb1.b1', '48.k1.a1', '48.cb1.b1', '48.ce1.a1', '48.cg1.b1', '48.cg1.d1', '48.ch1.b1', '48.ch1.d1'], 'contains': ['192.u1.a1', '192.y1.b1', '192.ba1.a1', '192.bi1.b1', '192.bi1.d1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [10, 452, 16], 'label': '768.87077.96.cb1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cb1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cb1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919056
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cc1.a1', '48.m1.a1', '48.cc1.a1', '48.cf1.a1', '48.cg1.b1', '48.cg1.d1', '48.ch1.a1', '48.ch1.c1'], 'contains': ['192.u1.a1', '192.bc1.a1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 2], 'label': '768.87077.96.cc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919057
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cc1.b1', '48.m1.a1', '48.cc1.b1', '48.cf1.a1', '48.cg1.a1', '48.cg1.c1', '48.ch1.b1', '48.ch1.d1'], 'contains': ['192.u1.a1', '192.bc1.b1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 66], 'label': '768.87077.96.cc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919058
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cd1.a1', '48.b1.a1', '48.bz1.a1', '48.ca1.a1', '48.cj1.a1', '48.cj1.b1', '48.ck1.a1', '48.ck1.b1'], 'contains': ['192.c1.a1', '192.v1.a1', '192.v1.b1', '192.bj1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 384, 16], 'label': '768.87077.96.cd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.cd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919059
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ce1.a1', '48.e1.a1', '48.cb1.a1', '48.cb1.b1', '48.ck1.a1', '48.ck1.b1', '48.cl1.a1', '48.cp1.a1'], 'contains': ['192.c1.a1', '192.ba1.a1', '192.bn1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [478, 384, 16], 'label': '768.87077.96.ce1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.ce1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ce1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919060
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cf1.a1', '48.n1.a1', '48.cm1.a1', '48.cn1.a1', '48.cn1.b1', '48.cq1.a1', '48.cs1.a1', '48.cs1.b1'], 'contains': ['192.c1.a1', '192.bb1.a1', '192.bo1.a1', '192.bo1.b1', '192.bo2.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 384, 16], 'label': '768.87077.96.cf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '96.cf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919061
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.h1.a1', '16.bz1.a1', '16.cb1.a1', '16.cc1.b1', '16.cg1.a1', '16.cg1.c1', '16.cj1.a1', '16.ck1.b1', '16.cl1.a1', '16.de1.a1', '16.de1.c1', '24.bk1.a1'], 'core': '16.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 256, 66, 388, 384], 'label': '768.87077.8.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919062
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cg1.a1', '48.g1.a1', '48.cc1.a1', '48.cc1.b1', '48.cj1.a1', '48.cj1.b1', '48.cl1.a1', '48.cp1.a1'], 'contains': ['192.c1.a1', '192.bd1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 384], 'label': '768.87077.96.cg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.cg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919063
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.q1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ch1.a1', '48.q1.a1', '48.cm1.a1', '48.co1.a1', '48.co1.b1', '48.cq1.a1', '48.cs1.a1', '48.cs1.b1'], 'contains': ['192.c1.a1', '192.bp1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [40, 16], 'label': '768.87077.96.ch1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.m1.a1', 'old_label': '96.ch1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ch1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919064
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ci1.a1', '48.c1.a1', '48.cd1.a1', '48.cd1.b1', '48.cx1.a1', '48.cy1.a1', '48.cz1.a1', '48.cz1.b1'], 'contains': ['192.d1.a1', '192.x1.a1', '192.z1.a1', '192.br1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [6, 448, 16], 'label': '768.87077.96.ci1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.ci1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ci1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919065
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cj1.a1', '48.d1.a1', '48.ce1.a1', '48.cu1.a1', '48.cu1.b1', '48.cx1.a1', '48.da1.a1', '48.db1.a1'], 'contains': ['192.d1.a1', '192.y1.a1', '192.y1.b1', '192.bs1.a1', '192.bs1.a2'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [452, 448, 16], 'label': '768.87077.96.cj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.cj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919066
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ck1.a1', '48.e1.a1', '48.ce1.a1', '48.cv1.a1', '48.cv1.b1', '48.cy1.a1'], 'contains': ['192.d1.a1', '192.ba1.a1', '192.bt1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [478, 448, 16], 'label': '768.87077.96.ck1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '96.ck1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ck1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919067
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cl1.a1', '48.n1.a1', '48.cw1.a1', '48.cw1.b1', '48.da1.a1', '48.dc1.a1', '48.dc1.a2'], 'contains': ['192.d1.a1', '192.bb1.a1', '192.bu1.a1', '192.bu1.b1', '192.bu2.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [426, 448, 16], 'label': '768.87077.96.cl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '96.cl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919068
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cm1.a1', '48.f1.a1', '48.cf1.a1', '48.cv1.a1', '48.cv1.b1', '48.cx1.a1', '48.dd1.a1', '48.dd1.b1'], 'contains': ['192.d1.a1', '192.bc1.a1', '192.bc1.b1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 448], 'label': '768.87077.96.cm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '96.cm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919069
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cn1.a1', '48.g1.a1', '48.cf1.a1', '48.cu1.a1', '48.cu1.b1', '48.cy1.a1', '48.dc1.a1', '48.dc1.a2'], 'contains': ['192.d1.a1', '192.bd1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 448], 'label': '768.87077.96.cn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.cn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919070
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.co1.a1', '48.p1.a1', '48.cw1.a1', '48.cw1.b1', '48.db1.a1', '48.dc1.a1', '48.dc1.a2'], 'contains': ['192.d1.a1', '192.bv1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [418, 16], 'label': '768.87077.96.co1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.j1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.i1.a1', 'old_label': '96.co1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.co1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919071
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cp1.a1', '48.r1.a1', '48.bz1.a1', '48.cd1.a1', '48.de1.a1', '48.de1.b1'], 'contains': ['192.v1.a1', '192.w1.a1', '192.x1.a1', '192.bw1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [476, 70, 16], 'label': '768.87077.96.cp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.cp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919072
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.h1.b1', '16.bz1.a1', '16.cb1.b1', '16.cc1.a1', '16.cg1.b1', '16.cg1.d1', '16.cj1.b1', '16.ck1.a1', '16.cl1.a1', '16.de1.b1', '16.de1.d1', '24.bk1.b1'], 'core': '16.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 256, 2, 452, 384], 'label': '768.87077.8.bk1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bk1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bk1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919073
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cp1.b1', '48.r1.a1', '48.bz1.a1', '48.cd1.b1', '48.de1.c1', '48.de1.d1'], 'contains': ['192.v1.b1', '192.w1.a1', '192.x1.a1', '192.bw1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [92, 454, 16], 'label': '768.87077.96.cp1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.cp1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cp1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919074
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cq1.a1', '48.r1.a1', '48.ca1.a1', '48.cd1.a1', '48.df1.a1', '48.df1.b1', '48.dg1.a1', '48.dg1.b1'], 'contains': ['192.v1.a1', '192.w1.a1', '192.z1.a1', '192.bx1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [28, 390, 16], 'label': '768.87077.96.cq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.cq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919075
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cq1.b1', '48.r1.a1', '48.ca1.a1', '48.cd1.b1', '48.df1.c1', '48.df1.d1', '48.dg1.c1', '48.dg1.d1'], 'contains': ['192.v1.b1', '192.w1.a1', '192.z1.a1', '192.bx1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [412, 6, 16], 'label': '768.87077.96.cq1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '96.cq1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cq1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919076
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cr1.a1', '48.s1.a1', '48.cg1.a1', '48.ch1.a1', '48.cj1.a1', '48.cu1.a1', '48.de1.a1', '48.df1.a1'], 'contains': ['192.v1.a1', '192.y1.a1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 388], 'label': '768.87077.96.cr1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cr1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cr1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919077
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cr1.b1', '48.s1.a1', '48.cg1.b1', '48.ch1.b1', '48.cj1.b1', '48.cu1.a1', '48.de1.b1', '48.df1.b1'], 'contains': ['192.v1.a1', '192.y1.b1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 452], 'label': '768.87077.96.cr1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cr1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cr1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919078
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cr1.c1', '48.s1.a1', '48.cg1.c1', '48.ch1.c1', '48.cj1.a1', '48.cu1.b1', '48.de1.c1', '48.df1.c1'], 'contains': ['192.v1.b1', '192.y1.a1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 388], 'label': '768.87077.96.cr1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cr1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cr1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919079
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cr1.d1', '48.s1.a1', '48.cg1.d1', '48.ch1.d1', '48.cj1.b1', '48.cu1.b1', '48.de1.d1', '48.df1.d1'], 'contains': ['192.v1.b1', '192.y1.b1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 452], 'label': '768.87077.96.cr1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cr1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cr1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919080
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cs1.a1', '48.t1.a1', '48.cg1.b1', '48.ch1.a1', '48.ck1.a1', '48.cv1.a1', '48.de1.b1', '48.df1.a1'], 'contains': ['192.v1.a1', '192.ba1.a1', '192.bc1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 2], 'label': '768.87077.96.cs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919081
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cs1.b1', '48.t1.a1', '48.cg1.a1', '48.ch1.b1', '48.ck1.b1', '48.cv1.a1', '48.de1.a1', '48.df1.b1'], 'contains': ['192.v1.a1', '192.ba1.a1', '192.bc1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 66], 'label': '768.87077.96.cs1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cs1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cs1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919082
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cs1.c1', '48.t1.a1', '48.cg1.d1', '48.ch1.c1', '48.ck1.a1', '48.cv1.b1', '48.de1.d1', '48.df1.c1'], 'contains': ['192.v1.b1', '192.ba1.a1', '192.bc1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 2], 'label': '768.87077.96.cs1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cs1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cs1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919083
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.r1.a1', '4.r1.b1'], 'contains': ['16.i1.a1', '16.ca1.a1', '16.cb1.a1', '16.cc1.a1', '16.ch1.a1', '16.ch1.c1', '16.cj1.a1', '16.ck1.a1', '16.cp1.a1', '16.df1.a1', '16.df1.c1', '24.bl1.a1'], 'core': '16.i1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 256, 2, 388, 384], 'label': '768.87077.8.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919084
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cs1.d1', '48.t1.a1', '48.cg1.c1', '48.ch1.d1', '48.ck1.b1', '48.cv1.b1', '48.de1.c1', '48.df1.d1'], 'contains': ['192.v1.b1', '192.ba1.a1', '192.bc1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 66], 'label': '768.87077.96.cs1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cs1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cs1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919085
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ct1.a1', '48.u1.a1', '48.cb1.a1', '48.ce1.a1', '48.de1.a1', '48.de1.c1', '48.df1.a1', '48.df1.c1'], 'contains': ['192.w1.a1', '192.y1.a1', '192.ba1.a1', '192.by1.a1', '192.by1.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 388, 16], 'label': '768.87077.96.ct1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.ct1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ct1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919086
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.ct1.b1', '48.u1.a1', '48.cb1.b1', '48.ce1.a1', '48.de1.b1', '48.de1.d1', '48.df1.b1', '48.df1.d1'], 'contains': ['192.w1.a1', '192.y1.b1', '192.ba1.a1', '192.by1.b1', '192.by1.b2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [394, 452, 16], 'label': '768.87077.96.ct1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.ct1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ct1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919087
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cu1.a1', '48.w1.a1', '48.cc1.a1', '48.cf1.a1', '48.de1.b1', '48.de1.d1', '48.df1.a1', '48.df1.c1'], 'contains': ['192.w1.a1', '192.bc1.a1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 2], 'label': '768.87077.96.cu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919088
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cu1.b1', '48.w1.a1', '48.cc1.b1', '48.cf1.a1', '48.de1.a1', '48.de1.c1', '48.df1.b1', '48.df1.d1'], 'contains': ['192.w1.a1', '192.bc1.b1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [392, 66], 'label': '768.87077.96.cu1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cu1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cu1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919089
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cv1.a1', '48.h1.a1', '48.x1.a1', '48.cg1.a1', '48.cg1.c1', '48.cx1.a1', '48.de1.a1', '48.de1.c1'], 'contains': ['192.x1.a1', '192.y1.a1', '192.bc1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [66, 388], 'label': '768.87077.96.cv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919090
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cv1.b1', '48.h1.b1', '48.x1.a1', '48.cg1.b1', '48.cg1.d1', '48.cx1.a1', '48.de1.b1', '48.de1.d1'], 'contains': ['192.x1.a1', '192.y1.b1', '192.bc1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 452], 'label': '768.87077.96.cv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919091
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cw1.a1', '48.y1.a1', '48.cg1.a1', '48.cg1.d1', '48.cl1.a1', '48.cy1.a1', '48.de1.b1', '48.de1.c1'], 'contains': ['192.x1.a1', '192.ba1.a1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 70], 'label': '768.87077.96.cw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919092
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cw1.a2', '48.y1.a1', '48.cg1.b1', '48.cg1.c1', '48.cl1.a1', '48.cy1.a1', '48.de1.a1', '48.de1.d1'], 'contains': ['192.x1.a1', '192.ba1.a1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 454], 'label': '768.87077.96.cw1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cw1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cw1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919093
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cx1.a1', '48.i1.a1', '48.x1.a1', '48.ch1.a1', '48.ch1.c1', '48.cx1.a1', '48.df1.a1', '48.df1.c1'], 'contains': ['192.y1.a1', '192.z1.a1', '192.bc1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 388], 'label': '768.87077.96.cx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919094
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.r1.c1', '4.r1.d1'], 'contains': ['16.i1.b1', '16.ca1.a1', '16.cb1.b1', '16.cc1.b1', '16.ch1.b1', '16.ch1.d1', '16.cj1.b1', '16.ck1.b1', '16.cp1.a1', '16.df1.b1', '16.df1.d1', '24.bl1.b1'], 'core': '16.i1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [8, 16, 256, 66, 452, 384], 'label': '768.87077.8.bl1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bl1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bl1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919095
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cx1.b1', '48.i1.b1', '48.x1.a1', '48.ch1.b1', '48.ch1.d1', '48.cx1.a1', '48.df1.b1', '48.df1.d1'], 'contains': ['192.y1.b1', '192.z1.a1', '192.bc1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [66, 452], 'label': '768.87077.96.cx1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cx1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cx1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919096
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cy1.a1', '48.ba1.a1', '48.cn1.a1', '48.da1.a1'], 'contains': ['192.y1.a1', '192.bb1.a1', '192.bz1.a1', '192.bz1.b1', '192.bz2.a1', '192.bz2.a2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 388, 16], 'label': '768.87077.96.cy1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.cy1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cy1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919097
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cy1.b1', '48.ba1.a1', '48.cn1.b1', '48.da1.a1'], 'contains': ['192.y1.b1', '192.bb1.a1', '192.bz1.c1', '192.bz1.d1', '192.bz2.b1', '192.bz2.b2'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 452, 16], 'label': '768.87077.96.cy1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.cy1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cy1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919098
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cz1.a1', '48.y1.a1', '48.ch1.a1', '48.ch1.d1', '48.cp1.a1', '48.cy1.a1', '48.df1.b1', '48.df1.c1'], 'contains': ['192.z1.a1', '192.ba1.a1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 6], 'label': '768.87077.96.cz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919099
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.cz1.a2', '48.y1.a1', '48.ch1.b1', '48.ch1.c1', '48.cp1.a1', '48.cy1.a1', '48.df1.a1', '48.df1.d1'], 'contains': ['192.z1.a1', '192.ba1.a1', '192.bd1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 390], 'label': '768.87077.96.cz1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '96.cz1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cz1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919100
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.da1.a1', '48.z1.a1', '48.ci1.a1', '48.ci1.c1', '48.cr1.a1', '48.cz1.a1', '48.dg1.a1', '48.dg1.c1'], 'contains': ['192.z1.a1', '192.ca1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [33, 16], 'label': '768.87077.96.da1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '96.da1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.da1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919101
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.da1.b1', '48.z1.a1', '48.ci1.b1', '48.ci1.d1', '48.cr1.b1', '48.cz1.a1', '48.dg1.b1', '48.dg1.d1'], 'contains': ['192.z1.a1', '192.ca1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [421, 16], 'label': '768.87077.96.da1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '96.da1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.da1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919102
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.da1.c1', '48.z1.b1', '48.ci1.a1', '48.ci1.d1', '48.cr1.c1', '48.cz1.b1', '48.dg1.b1', '48.dg1.c1'], 'contains': ['192.z1.a1', '192.ca1.c1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [41, 16], 'label': '768.87077.96.da1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '96.da1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.da1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919103
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.da1.d1', '48.z1.b1', '48.ci1.b1', '48.ci1.c1', '48.cr1.d1', '48.cz1.b1', '48.dg1.a1', '48.dg1.d1'], 'contains': ['192.z1.a1', '192.ca1.d1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [105, 16], 'label': '768.87077.96.da1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '96.da1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.da1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919104
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.bd1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.db1.a1', '48.bd1.a1', '48.ct1.a1', '48.dd1.a1'], 'contains': ['192.bc1.a1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1], 'label': '768.87077.96.db1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bc1.a1', 'old_label': '96.db1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.db1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919105
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '4.r1.a1', '4.r1.c1'], 'contains': ['16.ca1.a1', '16.ci1.a1', '16.cr1.a1', '16.cr1.c1', '16.dg1.c1', '24.bm1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [485, 16, 6, 412, 384, 256], 'label': '768.87077.8.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919106
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.bd1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.db1.b1', '48.bd1.b1', '48.ct1.b1', '48.dd1.b1'], 'contains': ['192.bc1.b1'], 'core': '384.c1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [9], 'label': '768.87077.96.db1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.bc1.b1', 'old_label': '96.db1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.db1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919107
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dc1.a1', '48.be1.a1', '48.bs1.a1', '48.bz1.a1'], 'contains': ['192.be1.a1', '192.bg1.a1', '192.bg1.b1', '192.bj1.a1', '192.bk1.a1', '192.bw1.a1', '192.bw1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [460, 454, 384], 'label': '768.87077.96.dc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.dc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919108
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dc1.b1', '48.be1.b1', '48.bs1.a1', '48.bz1.a1'], 'contains': ['192.be1.b1', '192.bg1.c1', '192.bg1.d1', '192.bj1.a1', '192.bk1.a1', '192.bw1.a1', '192.bw1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 454, 384], 'label': '768.87077.96.dc1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.dc1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dc1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919109
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dd1.a1', '48.be1.a1', '48.bs1.a1', '48.ca1.a1'], 'contains': ['192.be1.a1', '192.bh1.a1', '192.bh1.b1', '192.bj1.a1', '192.bm1.a1', '192.bx1.a1', '192.bx1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [396, 390, 384], 'label': '768.87077.96.dd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.dd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919110
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dd1.b1', '48.be1.b1', '48.bs1.a1', '48.ca1.a1'], 'contains': ['192.be1.b1', '192.bh1.c1', '192.bh1.d1', '192.bj1.a1', '192.bm1.a1', '192.bx1.a1', '192.bx1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [412, 390, 384], 'label': '768.87077.96.dd1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.dd1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dd1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919111
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.de1.a1', '48.bf1.a1', '48.bt1.a1', '48.cb1.a1'], 'contains': ['192.be1.a1', '192.bi1.a1', '192.bl1.a1', '192.bn1.a1', '192.by1.a1', '192.by1.a2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 388, 384], 'label': '768.87077.96.de1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.de1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.de1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919112
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.de1.b1', '48.bf1.a1', '48.bt1.a1', '48.cb1.b1'], 'contains': ['192.be1.a1', '192.bi1.b1', '192.bl1.b1', '192.bn1.a1', '192.by1.b1', '192.by1.b2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 384], 'label': '768.87077.96.de1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.de1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.de1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919113
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.de1.c1', '48.bf1.b1', '48.bt1.a1', '48.cb1.a1'], 'contains': ['192.be1.b1', '192.bi1.c1', '192.bl1.a1', '192.bn1.a1', '192.by1.a1', '192.by1.a2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 388, 384], 'label': '768.87077.96.de1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.de1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.de1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919114
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.de1.d1', '48.bf1.b1', '48.bt1.a1', '48.cb1.b1'], 'contains': ['192.be1.b1', '192.bi1.d1', '192.bl1.b1', '192.bn1.a1', '192.by1.b1', '192.by1.b2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 452, 384], 'label': '768.87077.96.de1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.de1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.de1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919115
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.df1.a1', '48.be1.a1', '48.bs1.a1', '48.cd1.a1'], 'contains': ['192.bf1.a1', '192.bg1.a1', '192.bh1.a1', '192.bq1.a1', '192.br1.a1', '192.bw1.a1', '192.bx1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [460, 454, 448], 'label': '768.87077.96.df1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.df1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.df1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919116
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '4.r1.b1', '4.r1.c1'], 'contains': ['16.ca1.a1', '16.ci1.c1', '16.cr1.a1', '16.cr1.d1', '16.dg1.a1', '24.bm1.b1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [33, 16, 390, 412, 384, 256], 'label': '768.87077.8.bm1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bm1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bm1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919117
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.df1.b1', '48.be1.a1', '48.bs1.a1', '48.cd1.b1'], 'contains': ['192.bf1.a1', '192.bg1.b1', '192.bh1.b1', '192.bq1.b1', '192.br1.a1', '192.bw1.b1', '192.bx1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [76, 454, 448], 'label': '768.87077.96.df1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.df1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.df1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919118
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.df1.c1', '48.be1.b1', '48.bs1.a1', '48.cd1.a1'], 'contains': ['192.bf1.b1', '192.bg1.c1', '192.bh1.c1', '192.bq1.a1', '192.br1.a1', '192.bw1.a1', '192.bx1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [476, 6, 448], 'label': '768.87077.96.df1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.df1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.df1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919119
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.df1.d1', '48.be1.b1', '48.bs1.a1', '48.cd1.b1'], 'contains': ['192.bf1.b1', '192.bg1.d1', '192.bh1.d1', '192.bq1.b1', '192.br1.a1', '192.bw1.b1', '192.bx1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [92, 454, 448], 'label': '768.87077.96.df1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1.a1', 'old_label': '96.df1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.df1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919120
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dg1.a1', '48.bf1.a1', '48.bt1.a1', '48.ce1.a1'], 'contains': ['192.bf1.a1', '192.bi1.a1', '192.bi1.b1', '192.bs1.a1', '192.bt1.a1', '192.by1.a2', '192.by1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 448], 'label': '768.87077.96.dg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.dg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919121
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dg1.a2', '48.bf1.a1', '48.bt1.a1', '48.ce1.a1'], 'contains': ['192.bf1.a1', '192.bi1.a1', '192.bi1.b1', '192.bs1.a2', '192.bt1.a1', '192.by1.a1', '192.by1.b2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10, 452, 464], 'label': '768.87077.96.dg1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.dg1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dg1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919122
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dg1.b1', '48.bf1.b1', '48.bt1.a1', '48.ce1.a1'], 'contains': ['192.bf1.b1', '192.bi1.c1', '192.bi1.d1', '192.bs1.a1', '192.bt1.a1', '192.by1.a1', '192.by1.b2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 452, 448], 'label': '768.87077.96.dg1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.dg1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dg1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919123
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dg1.b2', '48.bf1.b1', '48.bt1.a1', '48.ce1.a1'], 'contains': ['192.bf1.b1', '192.bi1.c1', '192.bi1.d1', '192.bs1.a2', '192.bt1.a1', '192.by1.a2', '192.by1.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26, 452, 464], 'label': '768.87077.96.dg1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.b1.a1', 'old_label': '96.dg1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dg1.b2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919124
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dh1.a1', '48.bi1.a1', '48.bu1.a2', '48.ci1.a1'], 'contains': ['192.bh1.a1', '192.ca1.a1', '192.ca1.c1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [485, 12], 'label': '768.87077.96.dh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.dh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919125
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dh1.b1', '48.bi1.a1', '48.bu1.a2', '48.ci1.b1'], 'contains': ['192.bh1.a1', '192.ca1.b1', '192.ca1.d1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [421, 12], 'label': '768.87077.96.dh1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.dh1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919126
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dh1.c1', '48.bi1.a1', '48.bu1.a1', '48.ci1.c1'], 'contains': ['192.bh1.b1', '192.ca1.a1', '192.ca1.d1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 396], 'label': '768.87077.96.dh1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.dh1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919127
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '4.r1.a1', '4.r1.d1'], 'contains': ['16.ca1.a1', '16.ci1.d1', '16.cr1.b1', '16.cr1.c1', '16.dg1.b1', '24.bm1.c1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [97, 16, 390, 412, 384, 256], 'label': '768.87077.8.bm1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bm1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bm1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919128
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dh1.d1', '48.bi1.a1', '48.bu1.a1', '48.ci1.d1'], 'contains': ['192.bh1.b1', '192.ca1.b1', '192.ca1.c1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [97, 396], 'label': '768.87077.96.dh1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.dh1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919129
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dh1.e1', '48.bi1.b1', '48.bu1.a1', '48.ci1.a1'], 'contains': ['192.bh1.c1', '192.ca1.a1', '192.ca1.c1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [485, 28], 'label': '768.87077.96.dh1.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.dh1.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919130
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dh1.f1', '48.bi1.b1', '48.bu1.a1', '48.ci1.b1'], 'contains': ['192.bh1.c1', '192.ca1.b1', '192.ca1.d1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [421, 28], 'label': '768.87077.96.dh1.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.dh1.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919131
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dh1.g1', '48.bi1.b1', '48.bu1.a2', '48.ci1.c1'], 'contains': ['192.bh1.d1', '192.ca1.a1', '192.ca1.d1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [33, 412], 'label': '768.87077.96.dh1.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.dh1.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919132
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.p1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dh1.h1', '48.bi1.b1', '48.bu1.a2', '48.ci1.d1'], 'contains': ['192.bh1.d1', '192.ca1.b1', '192.ca1.c1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [97, 412], 'label': '768.87077.96.dh1.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.p1.a1', 'old_label': '96.dh1.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919134
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.di1.b1', '48.bm1.b1', '48.bw1.a1', '48.cm1.a1'], 'contains': ['192.bk1.a1', '192.bo1.b1', '192.bp1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [40, 454], 'label': '768.87077.96.di1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.q1.a1', 'old_label': '96.di1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.di1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919135
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dj1.a1', '48.bo1.a1', '48.bx1.a1', '48.cn1.a1'], 'contains': ['192.bl1.a1', '192.bo1.b1', '192.bo2.a1', '192.bz1.b1', '192.bz2.a1', '192.bz2.a2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442, 388, 384], 'label': '768.87077.96.dj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.dj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919136
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dj1.b1', '48.bo1.b1', '48.bx1.a1', '48.cn1.a1'], 'contains': ['192.bl1.a1', '192.bo1.a1', '192.bo2.a1', '192.bz1.a1', '192.bz2.a1', '192.bz2.a2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 388, 384], 'label': '768.87077.96.dj1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.dj1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dj1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919137
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dj1.c1', '48.bo1.a1', '48.bx1.a1', '48.cn1.b1'], 'contains': ['192.bl1.b1', '192.bo1.b1', '192.bo2.a1', '192.bz1.d1', '192.bz2.b1', '192.bz2.b2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442, 452, 384], 'label': '768.87077.96.dj1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.dj1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dj1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919138
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '4.r1.b1', '4.r1.d1'], 'contains': ['16.ca1.a1', '16.ci1.b1', '16.cr1.b1', '16.cr1.d1', '16.dg1.d1', '24.bm1.d1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [421, 16, 6, 412, 384, 256], 'label': '768.87077.8.bm1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bm1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bm1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919139
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dj1.d1', '48.bo1.b1', '48.bx1.a1', '48.cn1.b1'], 'contains': ['192.bl1.b1', '192.bo1.a1', '192.bo2.a1', '192.bz1.c1', '192.bz2.b1', '192.bz2.b2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 452, 384], 'label': '768.87077.96.dj1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.dj1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dj1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919140
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dk1.a1', '48.bm1.a1', '48.bw1.a1', '48.cq1.a1'], 'contains': ['192.bm1.a1', '192.bo1.a1', '192.bp1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [56, 390], 'label': '768.87077.96.dk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.q1.a1', 'old_label': '96.dk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919141
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dk1.b1', '48.bm1.b1', '48.bw1.a1', '48.cq1.a1'], 'contains': ['192.bm1.a1', '192.bo1.b1', '192.bp1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [40, 390], 'label': '768.87077.96.dk1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.q1.a1', 'old_label': '96.dk1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dk1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919142
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dl1.a1', '48.bk1.a1', '48.bv1.a1', '48.cw1.a1'], 'contains': ['192.bq1.a1', '192.bu1.a1', '192.bv1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [476, 418], 'label': '768.87077.96.dl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.o1.a1', 'old_label': '96.dl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919143
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dl1.b1', '48.bk1.b1', '48.bv1.a1', '48.cw1.a1'], 'contains': ['192.bq1.a1', '192.bu1.b1', '192.bv1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [460, 418], 'label': '768.87077.96.dl1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.o1.a1', 'old_label': '96.dl1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dl1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919144
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dl1.c1', '48.bk1.a1', '48.bv1.a1', '48.cw1.b1'], 'contains': ['192.bq1.b1', '192.bu1.a1', '192.bv1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [76, 418], 'label': '768.87077.96.dl1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.o1.a1', 'old_label': '96.dl1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dl1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919145
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dl1.d1', '48.bk1.b1', '48.bv1.a1', '48.cw1.b1'], 'contains': ['192.bq1.b1', '192.bu1.b1', '192.bv1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [92, 418], 'label': '768.87077.96.dl1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.o1.a1', 'old_label': '96.dl1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dl1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919146
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dm1.a1', '48.bo1.a1', '48.bx1.a1', '48.da1.a1'], 'contains': ['192.bs1.a1', '192.bu1.b1', '192.bu2.a1', '192.bz1.b1', '192.bz1.d1', '192.bz2.a1', '192.bz2.b2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442, 452, 448], 'label': '768.87077.96.dm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.dm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919147
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dm1.a2', '48.bo1.a1', '48.bx1.a1', '48.da1.a1'], 'contains': ['192.bs1.a2', '192.bu1.b1', '192.bu2.a1', '192.bz1.b1', '192.bz1.d1', '192.bz2.a2', '192.bz2.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 452, 464], 'label': '768.87077.96.dm1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.dm1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dm1.a2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919148
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dm1.b1', '48.bo1.b1', '48.bx1.a1', '48.da1.a1'], 'contains': ['192.bs1.a1', '192.bu1.a1', '192.bu2.a1', '192.bz1.a1', '192.bz1.c1', '192.bz2.a2', '192.bz2.b1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [426, 452, 448], 'label': '768.87077.96.dm1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.dm1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dm1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919149
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '8.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.cd1.a1', '16.ce1.a1', '16.cf1.a1', '16.cg1.a1', '16.cg1.b1', '16.ch1.a1', '16.ch1.b1', '16.cu1.a1', '16.cv1.a1', '16.cx1.a1', '16.cy1.a1', '16.de1.a1', '16.de1.b1', '16.df1.a1', '16.df1.b1', '24.bn1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [8, 16, 256, 2, 452, 448], 'label': '768.87077.8.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '8.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919150
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '96.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.dm1.b2', '48.bo1.b1', '48.bx1.a1', '48.da1.a1'], 'contains': ['192.bs1.a2', '192.bu1.a1', '192.bu2.a1', '192.bz1.a1', '192.bz1.c1', '192.bz2.a1', '192.bz2.b2'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [442, 452, 464], 'label': '768.87077.96.dm1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.t1.a1', 'old_label': '96.dm1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dm1.b2', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919151
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.b1.a1', '64.b1.b1', '64.e1.a1', '64.f1.a1', '64.g1.a1', '64.h1.a1', '64.i1.a1', '64.j1.a1', '64.k1.a1', '64.k1.b1', '64.l1.a1', '64.l1.b1'], 'contains': ['256.a1.a1', '384.a1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [64, 256], 'label': '768.87077.128.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.a1.a1', 'normal_contained_in': ['64.a1.a1', '64.b1.a1', '64.b1.b1'], 'normal_contains': ['256.a1.a1', '384.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919152
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.m1.a1', '64.n1.a1', '64.o1.a1', '64.p1.a1', '64.q1.a1', '64.r1.a1', '64.s1.a1', '64.t1.a1'], 'contains': ['256.a1.a1', '384.b1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [80, 256], 'label': '768.87077.128.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.b1.a1', 'normal_contained_in': ['64.a1.a1'], 'normal_contains': ['256.a1.a1', '384.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919153
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.c1.a1', '64.d1.a1', '64.u1.a1', '64.v1.a1', '64.v1.b1', '64.w1.a1', '64.x1.a1', '64.y1.a1', '64.y1.b1', '64.z1.a1', '64.ba1.a1', '64.bb1.a1', '64.bc1.a1', '64.bc1.b1', '64.bd1.a1'], 'contains': ['256.a1.a1', '384.c1.a1'], 'core': '128.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [16, 256], 'label': '768.87077.128.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.c1.a1', 'normal_contained_in': ['64.a1.a1', '64.d1.a1', '64.c1.a1'], 'normal_contains': ['256.a1.a1', '384.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919154
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.b1.a1', '64.m1.a1', '64.u1.a1', '64.be1.a1', '64.bf1.a1', '64.bg1.a1', '64.bg1.b1', '64.bh1.a1', '64.bh1.b1', '64.bi1.a1', '64.bi1.b1'], 'contains': ['256.a1.a1', '384.d1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [10, 256], 'label': '768.87077.128.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '128.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919155
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.b1.b1', '64.m1.a1', '64.u1.a1', '64.be1.b1', '64.bf1.b1', '64.bg1.c1', '64.bg1.d1', '64.bh1.c1', '64.bh1.d1', '64.bi1.c1', '64.bi1.d1'], 'contains': ['256.a1.a1', '384.d1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26, 256], 'label': '768.87077.128.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '128.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919156
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.c1.a1', '64.e1.a1', '64.n1.a1', '64.be1.a1', '64.be1.b1', '64.bj1.a1', '64.bk1.a1', '64.bl1.a1', '64.bl1.b1', '64.bm1.a1', '64.bn1.a1', '64.bo1.a1', '64.bo1.b1', '64.bo2.a1', '64.bp1.a1'], 'contains': ['256.a1.a1', '384.e1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [384, 256], 'label': '768.87077.128.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '128.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919157
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.d1.a1', '64.e1.a1', '64.n1.a1', '64.bf1.a1', '64.bf1.b1', '64.bq1.a1', '64.bq1.b1', '64.br1.a1', '64.bs1.a1', '64.bs1.a2', '64.bt1.a1', '64.bu1.a1', '64.bu1.b1', '64.bu2.a1', '64.bv1.a1'], 'contains': ['256.a1.a1', '384.f1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [448, 256], 'label': '768.87077.128.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '128.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919158
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.f1.a1', '64.o1.a1', '64.v1.a1', '64.bg1.a1', '64.bg1.c1', '64.bh1.a1', '64.bh1.c1', '64.bj1.a1', '64.bq1.a1', '64.bw1.a1', '64.bx1.a1'], 'contains': ['256.a1.a1', '384.g1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [476, 256], 'label': '768.87077.128.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '128.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 59919159
{'ambient': '768.87077', 'aut_centralizer_order': None, 'aut_label': '128.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.f1.a1', '64.o1.a1', '64.v1.b1', '64.bg1.b1', '64.bg1.d1', '64.bh1.b1', '64.bh1.d1', '64.bj1.a1', '64.bq1.b1', '64.bw1.b1', '64.bx1.b1'], 'contains': ['256.a1.a1', '384.g1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [92, 256], 'label': '768.87077.128.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.k1.a1', 'old_label': '128.g1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.g1.b1', 'subgroup_fusion': None, 'weyl_group': None}