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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '192.151', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 24, 'aut_gen_orders': [4, 8, 8, 4, 8, 4, 2], 'aut_gens': [[998829, 516359, 844297, 566033], [1019194, 516359, 58113, 319513], [824550, 238351, 312089, 581905], [773682, 254239, 566033, 844297], [976510, 516359, 303641, 835849], [376754, 762655, 303641, 835849], [345715, 1040663, 303641, 581905], [257842, 516359, 566033, 844297]], 'aut_group': None, 'aut_hash': 4885369984084916411, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 98304, 'aut_permdeg': 160, 'aut_perms': [67594825636829232742005841724275604972178308946062502407453885575245686282650487839745261727652938364301584167359207588613508409838923059884673941721481142987674031184852012812830341482778142675609852898311308750742632019404071763338234085618919217121927577304325371230595176888009485, 430695963725970472190697560479928346845919373667666035028843215728020361357548290796327220180068059044475841908530790098062436298994079469402674647558849927753162563022812656017736375094434671260682506816051034128454025731154706440641332112400694161709333971208041193603043494389123430, 153575301585673517818745186749417071158627051335906082561622582033227469952320618738081023586334931047331095801668165012071266700194549476515725403485417140590743511761223529527571752313617082032312409221267187337831776344124381755835260076356731447372688952349943141126554535109965294, 184189839566195372725859434994060827896509426018901668401613195509546342291954175320841010692885939910792038977169141284180818807566322775699403248991057498288774258538004493771364737393216096775913493413540990212736059468173073802229549396507218263341494718127438827674833620327002070, 400797584285796342926659499986101978022756265348707407921675957848658086819896360138913642854663071906443183204061978955163391779365853867220227888844157341243242395788275920307147207021262804405862701052288751305974186159621608464600446367842499756987619255348520318777935362355034496, 108100946728643762714220033560314728168516442998050564637643572674163015743409164255565358328089381189048284949237939927245024969723412922984641601494700774993752944273075240356065031660106268526102371153867557660929570403435467092670923783157112868691868897248509646515325536509930367, 90387377648285985137371498837197386224646852372991939076419989291366372196622633157905087596237173294624228302528253448797545951062971637810632700828159938734923789199187066233003388759422268375162220230827887119235883269972777929090438786596607866634319741217530288004152450279526328], 'aut_phi_ratio': 96.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 3, 1, 2], [2, 3, 2, 1], [3, 16, 2, 1], [4, 1, 2, 2], [4, 1, 8, 1], [4, 3, 2, 2], [4, 3, 8, 1], [4, 6, 2, 2], [4, 6, 4, 3], [4, 6, 16, 1], [6, 16, 2, 1], [6, 16, 4, 1], [8, 1, 8, 2], [8, 3, 8, 2], [8, 6, 16, 2], [12, 16, 4, 2], [12, 16, 16, 1], [16, 4, 32, 1], [16, 12, 32, 1], [24, 16, 16, 2], [48, 16, 64, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_4^2.(C_2^3\\times C_{12}).C_2^6', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 8, 'autcent_group': '256.16401', 'autcent_hash': 16401, 'autcent_nilpotent': True, 'autcent_order': 256, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^5.D_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '384.5677', 'autcentquo_hash': 5677, 'autcentquo_nilpotent': False, 'autcentquo_order': 384, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_2^2.\\GL(2,\\mathbb{Z}/4)', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 3, 4], [3, 16, 2], [4, 1, 12], [4, 3, 12], [4, 6, 32], [6, 16, 6], [8, 1, 16], [8, 3, 16], [8, 6, 32], [12, 16, 24], [16, 4, 32], [16, 12, 32], [24, 16, 32], [48, 16, 64]], 'center_label': '32.3', 'center_order': 32, 'central_product': True, 'central_quotient': '96.72', 'commutator_count': 1, 'commutator_label': '16.2', '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', '2.1', '2.1', '3.1'], 'composition_length': 11, 'conjugacy_classes_known': True, 'counter': 26, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['4.1', 1], ['768.1083570', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 3, 1, 4], [3, 16, 2, 1], [4, 1, 2, 6], [4, 3, 2, 6], [4, 6, 1, 8], [4, 6, 2, 12], [6, 16, 2, 3], [8, 1, 4, 4], [8, 3, 4, 4], [8, 6, 4, 8], [12, 16, 4, 6], [16, 4, 8, 4], [16, 12, 8, 4], [24, 16, 8, 4], [48, 16, 16, 4]], 'element_repr_type': 'GLZq', 'elementary': 1, 'eulerian_function': 24, 'exponent': 48, 'exponents_of_order': [10, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '64.246', 'frattini_quotient': '48.49', 'hash': 9138648193475773200, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [6, 1, 4, 4], 'inner_gens': [[998829, 516359, 566033, 835849], [998829, 516359, 844297, 566033], [744885, 516359, 844297, 566033], [1007277, 516359, 844297, 566033]], 'inner_hash': 72, 'inner_nilpotent': False, 'inner_order': 96, 'inner_split': False, 'inner_tex': 'C_4^2:C_6', 'inner_used': [1, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 192], [3, 64], [6, 64]], 'label': '3072.z', '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': 'C4^3:C48', 'ngens': 11, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 35, 'number_characteristic_subgroups': 43, 'number_conjugacy_classes': 320, 'number_divisions': 82, 'number_normal_subgroups': 109, 'number_subgroup_autclasses': 448, 'number_subgroup_classes': 1112, 'number_subgroups': 4950, 'old_label': None, 'order': 3072, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 15], [3, 32], [4, 240], [6, 96], [8, 256], [12, 384], [16, 512], [24, 512], [48, 1024]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 8, 'outer_gen_orders': [4, 2, 4, 4, 4, 4, 8], 'outer_gen_pows': [32769, 32769, 32769, 32769, 32769, 32769, 32769], 'outer_gens': [[732193, 238351, 844297, 566033], [46318, 1040663, 303641, 835849], [232746, 762655, 303641, 835849], [216889, 254239, 844297, 566033], [570622, 500503, 41217, 827401], [249658, 516359, 303641, 835849], [46318, 762655, 303641, 835849]], 'outer_group': None, 'outer_hash': 7403875765688623348, 'outer_nilpotent': True, 'outer_order': 1024, 'outer_permdeg': 22, 'outer_perms': [219858381643273314769, 438686087938638946560, 794766307697265214080, 794769175694948071374, 314575108597009174321, 166176267438450412080, 635552014232449036800], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_4^2:C_2^2.C_2^4', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 32, 'pgroup': 0, 'primary_abelian_invariants': [4, 16, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 10], [3, 4], [4, 10], [6, 14], [8, 8], [12, 16], [16, 4], [24, 12]], 'representations': {'PC': {'code': '1424325288136641561610628204706010512333049770887816975009600010781903272507200325021267001896396135466573499824192', 'gens': [1, 6, 8, 10], 'pres': [11, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 22, 56, 90, 124, 192, 67591, 59154, 50717, 14824, 12723, 260, 152072, 95059, 38046, 23801, 9556, 147849, 31700, 68671, 7962, 17213, 328, 232330, 23253, 58112, 5851, 14574]}, 'GLZq': {'d': 2, 'q': 32, 'gens': [303897, 33025, 32785, 237855, 98331, 100557, 294921, 124284, 33281, 557073, 573953]}, 'Perm': {'d': 32, 'gens': [8496965942592204833372897280000009, 8496933276061410027685529675291296, 16976205612302050842639335424000016, 539348303738157352631802927803649, 1297551226273757280, 33988997890484141128795753021440000, 16976183028034180315288637361070080, 527631569472430080, 527631569472430096, 16976183028034180057379585863937289, 1297551226273757289]}}, 'schur_multiplier': [4, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [4, 48], 'solvability_type': 8, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_4^3:C_{48}', 'transitive_degree': 192, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 174269744
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 26, 'group_order': 3072, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 32769, 'size': 1}
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id: 174269855
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 26, 'group_order': 3072, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 49681, 'size': 1}
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id: 174269966
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 26, 'group_order': 3072, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 573953, 'size': 1}
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id: 174269998
{'aut_label': '2C', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 26, 'group_order': 3072, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 557073, 'size': 1}
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id: 174270009
{'aut_label': '2D', 'centralizer': '3.a1', 'counter': 5, 'group_counter': 26, 'group_order': 3072, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 49665, 'size': 3}
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id: 174270020
{'aut_label': '2E', 'centralizer': '3.a1', 'counter': 6, 'group_counter': 26, 'group_order': 3072, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 32785, 'size': 3}
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id: 174270031
{'aut_label': '2F', 'centralizer': '3.a1', 'counter': 7, 'group_counter': 26, 'group_order': 3072, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 573969, 'size': 3}
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id: 174270042
{'aut_label': '2E', 'centralizer': '3.a1', 'counter': 8, 'group_counter': 26, 'group_order': 3072, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 557057, 'size': 3}
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id: 174270053
{'aut_label': '3A1', 'centralizer': '16.h1', 'counter': 9, 'group_counter': 26, 'group_order': 3072, 'label': '3A1', 'order': 3, 'powers': [10, 1], 'representative': 925347, 'size': 16}
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id: 174269745
{'aut_label': '3A1', 'centralizer': '16.h1', 'counter': 10, 'group_counter': 26, 'group_order': 3072, 'label': '3A-1', 'order': 3, 'powers': [9, 1], 'representative': 124284, 'size': 16}
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id: 174269756
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 11, 'group_counter': 26, 'group_order': 3072, 'label': '4A1', 'order': 4, 'powers': [4, 12], 'representative': 294921, 'size': 1}
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id: 174269767
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 12, 'group_counter': 26, 'group_order': 3072, 'label': '4A-1', 'order': 4, 'powers': [4, 11], 'representative': 819225, 'size': 1}
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id: 174269778
{'aut_label': '4B1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 26, 'group_order': 3072, 'label': '4B1', 'order': 4, 'powers': [4, 14], 'representative': 311833, 'size': 1}
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id: 174269789
{'aut_label': '4B1', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 26, 'group_order': 3072, 'label': '4B-1', 'order': 4, 'powers': [4, 13], 'representative': 836105, 'size': 1}
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id: 174269800
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 15, 'group_counter': 26, 'group_order': 3072, 'label': '4C1', 'order': 4, 'powers': [2, 16], 'representative': 500503, 'size': 1}
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id: 174269811
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 16, 'group_counter': 26, 'group_order': 3072, 'label': '4C-1', 'order': 4, 'powers': [2, 15], 'representative': 516359, 'size': 1}
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id: 174269822
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 17, 'group_counter': 26, 'group_order': 3072, 'label': '4D1', 'order': 4, 'powers': [2, 18], 'representative': 1024775, 'size': 1}
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id: 174269833
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 18, 'group_counter': 26, 'group_order': 3072, 'label': '4D-1', 'order': 4, 'powers': [2, 17], 'representative': 1040663, 'size': 1}
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id: 174269844
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 19, 'group_counter': 26, 'group_order': 3072, 'label': '4E1', 'order': 4, 'powers': [3, 20], 'representative': 762655, 'size': 1}
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id: 174269856
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 20, 'group_counter': 26, 'group_order': 3072, 'label': '4E-1', 'order': 4, 'powers': [3, 19], 'representative': 254239, 'size': 1}
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id: 174269867
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 21, 'group_counter': 26, 'group_order': 3072, 'label': '4F1', 'order': 4, 'powers': [3, 22], 'representative': 778511, 'size': 1}
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id: 174269878
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 22, 'group_counter': 26, 'group_order': 3072, 'label': '4F-1', 'order': 4, 'powers': [3, 21], 'representative': 238351, 'size': 1}
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id: 174269889
{'aut_label': '4G1', 'centralizer': '3.a1', 'counter': 23, 'group_counter': 26, 'group_order': 3072, 'label': '4G1', 'order': 4, 'powers': [2, 24], 'representative': 500487, 'size': 3}
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id: 174269900
{'aut_label': '4G1', 'centralizer': '3.a1', 'counter': 24, 'group_counter': 26, 'group_order': 3072, 'label': '4G-1', 'order': 4, 'powers': [2, 23], 'representative': 516375, 'size': 3}
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id: 174269911
{'aut_label': '4G1', 'centralizer': '3.a1', 'counter': 25, 'group_counter': 26, 'group_order': 3072, 'label': '4H1', 'order': 4, 'powers': [2, 26], 'representative': 1024791, 'size': 3}
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id: 174269922
{'aut_label': '4G1', 'centralizer': '3.a1', 'counter': 26, 'group_counter': 26, 'group_order': 3072, 'label': '4H-1', 'order': 4, 'powers': [2, 25], 'representative': 1040647, 'size': 3}
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id: 174269933
{'aut_label': '4G1', 'centralizer': '3.a1', 'counter': 27, 'group_counter': 26, 'group_order': 3072, 'label': '4I1', 'order': 4, 'powers': [3, 28], 'representative': 762639, 'size': 3}
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id: 174269944
{'aut_label': '4G1', 'centralizer': '3.a1', 'counter': 28, 'group_counter': 26, 'group_order': 3072, 'label': '4I-1', 'order': 4, 'powers': [3, 27], 'representative': 254223, 'size': 3}
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id: 174269955
{'aut_label': '4G1', 'centralizer': '3.a1', 'counter': 29, 'group_counter': 26, 'group_order': 3072, 'label': '4J1', 'order': 4, 'powers': [3, 30], 'representative': 238367, 'size': 3}
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id: 174269967
{'aut_label': '4G1', 'centralizer': '3.a1', 'counter': 30, 'group_counter': 26, 'group_order': 3072, 'label': '4J-1', 'order': 4, 'powers': [3, 29], 'representative': 778527, 'size': 3}
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id: 174269978
{'aut_label': '4K1', 'centralizer': '3.a1', 'counter': 31, 'group_counter': 26, 'group_order': 3072, 'label': '4K1', 'order': 4, 'powers': [4, 32], 'representative': 311817, 'size': 3}
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id: 174269989
{'aut_label': '4K1', 'centralizer': '3.a1', 'counter': 32, 'group_counter': 26, 'group_order': 3072, 'label': '4K-1', 'order': 4, 'powers': [4, 31], 'representative': 836121, 'size': 3}
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id: 174269991
{'aut_label': '4L1', 'centralizer': '3.a1', 'counter': 33, 'group_counter': 26, 'group_order': 3072, 'label': '4L1', 'order': 4, 'powers': [4, 34], 'representative': 294937, 'size': 3}
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id: 174269992
{'aut_label': '4L1', 'centralizer': '3.a1', 'counter': 34, 'group_counter': 26, 'group_order': 3072, 'label': '4L-1', 'order': 4, 'powers': [4, 33], 'representative': 819209, 'size': 3}
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id: 174269993
{'aut_label': '4M', 'centralizer': '6.a1', 'counter': 35, 'group_counter': 26, 'group_order': 3072, 'label': '4M', 'order': 4, 'powers': [5, 35], 'representative': 566033, 'size': 6}
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id: 174269994
{'aut_label': '4M', 'centralizer': '6.a1', 'counter': 36, 'group_counter': 26, 'group_order': 3072, 'label': '4N', 'order': 4, 'powers': [5, 36], 'representative': 58113, 'size': 6}
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id: 174269995
{'aut_label': '4O', 'centralizer': '6.a1', 'counter': 37, 'group_counter': 26, 'group_order': 3072, 'label': '4O', 'order': 4, 'powers': [5, 37], 'representative': 581889, 'size': 6}
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id: 174269996
{'aut_label': '4O', 'centralizer': '6.a1', 'counter': 38, 'group_counter': 26, 'group_order': 3072, 'label': '4P', 'order': 4, 'powers': [5, 38], 'representative': 41233, 'size': 6}
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id: 174269997
{'aut_label': '4Q', 'centralizer': '6.a1', 'counter': 39, 'group_counter': 26, 'group_order': 3072, 'label': '4Q', 'order': 4, 'powers': [5, 39], 'representative': 41729, 'size': 6}
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id: 174269999
{'aut_label': '4Q', 'centralizer': '6.a1', 'counter': 40, 'group_counter': 26, 'group_order': 3072, 'label': '4R', 'order': 4, 'powers': [5, 40], 'representative': 582417, 'size': 6}
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id: 174270000
{'aut_label': '4O', 'centralizer': '6.a1', 'counter': 41, 'group_counter': 26, 'group_order': 3072, 'label': '4S', 'order': 4, 'powers': [5, 41], 'representative': 57617, 'size': 6}
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id: 174270001
{'aut_label': '4O', 'centralizer': '6.a1', 'counter': 42, 'group_counter': 26, 'group_order': 3072, 'label': '4T', 'order': 4, 'powers': [5, 42], 'representative': 565505, 'size': 6}
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id: 174270002
{'aut_label': '4U1', 'centralizer': '6.a1', 'counter': 43, 'group_counter': 26, 'group_order': 3072, 'label': '4U1', 'order': 4, 'powers': [6, 44], 'representative': 1032727, 'size': 6}
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id: 174270003
{'aut_label': '4U1', 'centralizer': '6.a1', 'counter': 44, 'group_counter': 26, 'group_order': 3072, 'label': '4U-1', 'order': 4, 'powers': [6, 43], 'representative': 1015815, 'size': 6}
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id: 174270004
{'aut_label': '4U1', 'centralizer': '6.a1', 'counter': 45, 'group_counter': 26, 'group_order': 3072, 'label': '4V1', 'order': 4, 'powers': [6, 46], 'representative': 492039, 'size': 6}
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id: 174270005
{'aut_label': '4U1', 'centralizer': '6.a1', 'counter': 46, 'group_counter': 26, 'group_order': 3072, 'label': '4V-1', 'order': 4, 'powers': [6, 45], 'representative': 507927, 'size': 6}
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id: 174270006
{'aut_label': '4W1', 'centralizer': '6.a1', 'counter': 47, 'group_counter': 26, 'group_order': 3072, 'label': '4W1', 'order': 4, 'powers': [7, 48], 'representative': 303881, 'size': 6}
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id: 174270007
{'aut_label': '4W1', 'centralizer': '6.a1', 'counter': 48, 'group_counter': 26, 'group_order': 3072, 'label': '4W-1', 'order': 4, 'powers': [7, 47], 'representative': 828185, 'size': 6}
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id: 174270008
{'aut_label': '4U1', 'centralizer': '6.a1', 'counter': 49, 'group_counter': 26, 'group_order': 3072, 'label': '4X1', 'order': 4, 'powers': [6, 50], 'representative': 508423, 'size': 6}
-
id: 174270010
{'aut_label': '4U1', 'centralizer': '6.a1', 'counter': 50, 'group_counter': 26, 'group_order': 3072, 'label': '4X-1', 'order': 4, 'powers': [6, 49], 'representative': 491543, 'size': 6}
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id: 174270011
{'aut_label': '4W1', 'centralizer': '6.a1', 'counter': 51, 'group_counter': 26, 'group_order': 3072, 'label': '4Y1', 'order': 4, 'powers': [7, 52], 'representative': 844569, 'size': 6}
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id: 174270012
{'aut_label': '4W1', 'centralizer': '6.a1', 'counter': 52, 'group_counter': 26, 'group_order': 3072, 'label': '4Y-1', 'order': 4, 'powers': [7, 51], 'representative': 320265, 'size': 6}
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id: 174270013
{'aut_label': '4Z1', 'centralizer': '6.a1', 'counter': 53, 'group_counter': 26, 'group_order': 3072, 'label': '4Z1', 'order': 4, 'powers': [7, 54], 'representative': 319769, 'size': 6}
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id: 174270014
{'aut_label': '4Z1', 'centralizer': '6.a1', 'counter': 54, 'group_counter': 26, 'group_order': 3072, 'label': '4Z-1', 'order': 4, 'powers': [7, 53], 'representative': 844041, 'size': 6}
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id: 174270015
{'aut_label': '4U1', 'centralizer': '6.a1', 'counter': 55, 'group_counter': 26, 'group_order': 3072, 'label': '4AA1', 'order': 4, 'powers': [8, 56], 'representative': 246303, 'size': 6}
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id: 174270016
{'aut_label': '4U1', 'centralizer': '6.a1', 'counter': 56, 'group_counter': 26, 'group_order': 3072, 'label': '4AA-1', 'order': 4, 'powers': [8, 55], 'representative': 753695, 'size': 6}
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id: 174270017
{'aut_label': '4U1', 'centralizer': '6.a1', 'counter': 57, 'group_counter': 26, 'group_order': 3072, 'label': '4AB1', 'order': 4, 'powers': [8, 58], 'representative': 770575, 'size': 6}
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id: 174270018
{'aut_label': '4U1', 'centralizer': '6.a1', 'counter': 58, 'group_counter': 26, 'group_order': 3072, 'label': '4AB-1', 'order': 4, 'powers': [8, 57], 'representative': 229391, 'size': 6}
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id: 174270019
{'aut_label': '4U1', 'centralizer': '6.a1', 'counter': 59, 'group_counter': 26, 'group_order': 3072, 'label': '4AC1', 'order': 4, 'powers': [6, 60], 'representative': 1016343, 'size': 6}
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id: 174270021
{'aut_label': '4U1', 'centralizer': '6.a1', 'counter': 60, 'group_counter': 26, 'group_order': 3072, 'label': '4AC-1', 'order': 4, 'powers': [6, 59], 'representative': 1032199, 'size': 6}
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id: 174270022
{'aut_label': '4Z1', 'centralizer': '6.a1', 'counter': 61, 'group_counter': 26, 'group_order': 3072, 'label': '4AD1', 'order': 4, 'powers': [7, 62], 'representative': 827657, 'size': 6}
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id: 174270023
{'aut_label': '4Z1', 'centralizer': '6.a1', 'counter': 62, 'group_counter': 26, 'group_order': 3072, 'label': '4AD-1', 'order': 4, 'powers': [7, 61], 'representative': 303385, 'size': 6}
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id: 174270024
{'aut_label': '4U1', 'centralizer': '6.a1', 'counter': 63, 'group_counter': 26, 'group_order': 3072, 'label': '4AE1', 'order': 4, 'powers': [8, 64], 'representative': 754191, 'size': 6}
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id: 174270025
{'aut_label': '4U1', 'centralizer': '6.a1', 'counter': 64, 'group_counter': 26, 'group_order': 3072, 'label': '4AE-1', 'order': 4, 'powers': [8, 63], 'representative': 245775, 'size': 6}
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id: 174270026
{'aut_label': '4U1', 'centralizer': '6.a1', 'counter': 65, 'group_counter': 26, 'group_order': 3072, 'label': '4AF1', 'order': 4, 'powers': [8, 66], 'representative': 229919, 'size': 6}
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id: 174270027
{'aut_label': '4U1', 'centralizer': '6.a1', 'counter': 66, 'group_counter': 26, 'group_order': 3072, 'label': '4AF-1', 'order': 4, 'powers': [8, 65], 'representative': 770079, 'size': 6}
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id: 174270028
{'aut_label': '6A1', 'centralizer': '16.h1', 'counter': 67, 'group_counter': 26, 'group_order': 3072, 'label': '6A1', 'order': 6, 'powers': [9, 2], 'representative': 648556, 'size': 16}
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id: 174270029
{'aut_label': '6A1', 'centralizer': '16.h1', 'counter': 68, 'group_counter': 26, 'group_order': 3072, 'label': '6A-1', 'order': 6, 'powers': [10, 2], 'representative': 416931, 'size': 16}
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id: 174270030
{'aut_label': '6A1', 'centralizer': '16.h1', 'counter': 69, 'group_counter': 26, 'group_order': 3072, 'label': '6B1', 'order': 6, 'powers': [9, 3], 'representative': 108396, 'size': 16}
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id: 174270032
{'aut_label': '6A1', 'centralizer': '16.h1', 'counter': 70, 'group_counter': 26, 'group_order': 3072, 'label': '6B-1', 'order': 6, 'powers': [10, 3], 'representative': 401075, 'size': 16}
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id: 174270033
{'aut_label': '6C1', 'centralizer': '16.h1', 'counter': 71, 'group_counter': 26, 'group_order': 3072, 'label': '6C1', 'order': 6, 'powers': [9, 4], 'representative': 632700, 'size': 16}
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id: 174270034
{'aut_label': '6C1', 'centralizer': '16.h1', 'counter': 72, 'group_counter': 26, 'group_order': 3072, 'label': '6C-1', 'order': 6, 'powers': [10, 4], 'representative': 941235, 'size': 16}
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id: 174270035
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 73, 'group_counter': 26, 'group_order': 3072, 'label': '8A1', 'order': 8, 'powers': [11, 75], 'representative': 425997, 'size': 1}
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id: 174270036
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 74, 'group_counter': 26, 'group_order': 3072, 'label': '8A-1', 'order': 8, 'powers': [12, 76], 'representative': 163845, 'size': 1}
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id: 174270037
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 75, 'group_counter': 26, 'group_order': 3072, 'label': '8A3', 'order': 8, 'powers': [12, 73], 'representative': 688149, 'size': 1}
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id: 174270038
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 76, 'group_counter': 26, 'group_order': 3072, 'label': '8A-3', 'order': 8, 'powers': [11, 74], 'representative': 950301, 'size': 1}
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id: 174270039
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 77, 'group_counter': 26, 'group_order': 3072, 'label': '8B1', 'order': 8, 'powers': [11, 79], 'representative': 442909, 'size': 1}
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id: 174270040
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 78, 'group_counter': 26, 'group_order': 3072, 'label': '8B-1', 'order': 8, 'powers': [12, 80], 'representative': 180757, 'size': 1}
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id: 174270041
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 79, 'group_counter': 26, 'group_order': 3072, 'label': '8B3', 'order': 8, 'powers': [12, 77], 'representative': 705029, 'size': 1}
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id: 174270043
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 80, 'group_counter': 26, 'group_order': 3072, 'label': '8B-3', 'order': 8, 'powers': [11, 78], 'representative': 967181, 'size': 1}
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id: 174270044
{'aut_label': '8C1', 'centralizer': '1.a1', 'counter': 81, 'group_counter': 26, 'group_order': 3072, 'label': '8C1', 'order': 8, 'powers': [14, 83], 'representative': 893699, 'size': 1}
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id: 174270045
{'aut_label': '8C1', 'centralizer': '1.a1', 'counter': 82, 'group_counter': 26, 'group_order': 3072, 'label': '8C-1', 'order': 8, 'powers': [13, 84], 'representative': 647435, 'size': 1}
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id: 174270046
{'aut_label': '8C1', 'centralizer': '1.a1', 'counter': 83, 'group_counter': 26, 'group_order': 3072, 'label': '8C3', 'order': 8, 'powers': [13, 81], 'representative': 123163, 'size': 1}
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id: 174270047
{'aut_label': '8C1', 'centralizer': '1.a1', 'counter': 84, 'group_counter': 26, 'group_order': 3072, 'label': '8C-3', 'order': 8, 'powers': [14, 82], 'representative': 369427, 'size': 1}
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id: 174270048
{'aut_label': '8C1', 'centralizer': '1.a1', 'counter': 85, 'group_counter': 26, 'group_order': 3072, 'label': '8D1', 'order': 8, 'powers': [14, 87], 'representative': 909587, 'size': 1}
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id: 174270049
{'aut_label': '8C1', 'centralizer': '1.a1', 'counter': 86, 'group_counter': 26, 'group_order': 3072, 'label': '8D-1', 'order': 8, 'powers': [13, 88], 'representative': 631579, 'size': 1}
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id: 174270050
{'aut_label': '8C1', 'centralizer': '1.a1', 'counter': 87, 'group_counter': 26, 'group_order': 3072, 'label': '8D3', 'order': 8, 'powers': [13, 85], 'representative': 107275, 'size': 1}
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id: 174270051
{'aut_label': '8C1', 'centralizer': '1.a1', 'counter': 88, 'group_counter': 26, 'group_order': 3072, 'label': '8D-3', 'order': 8, 'powers': [14, 86], 'representative': 385283, 'size': 1}
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id: 174270052
{'aut_label': '8E1', 'centralizer': '3.a1', 'counter': 89, 'group_counter': 26, 'group_order': 3072, 'label': '8E1', 'order': 8, 'powers': [11, 91], 'representative': 442893, 'size': 3}
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id: 174270054
{'aut_label': '8E1', 'centralizer': '3.a1', 'counter': 90, 'group_counter': 26, 'group_order': 3072, 'label': '8E-1', 'order': 8, 'powers': [12, 92], 'representative': 180741, 'size': 3}
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id: 174270055
{'aut_label': '8E1', 'centralizer': '3.a1', 'counter': 91, 'group_counter': 26, 'group_order': 3072, 'label': '8E3', 'order': 8, 'powers': [12, 89], 'representative': 705045, 'size': 3}
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id: 174270056
{'aut_label': '8E1', 'centralizer': '3.a1', 'counter': 92, 'group_counter': 26, 'group_order': 3072, 'label': '8E-3', 'order': 8, 'powers': [11, 90], 'representative': 967197, 'size': 3}
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id: 174270057
{'aut_label': '8E1', 'centralizer': '3.a1', 'counter': 93, 'group_counter': 26, 'group_order': 3072, 'label': '8F1', 'order': 8, 'powers': [11, 95], 'representative': 426013, 'size': 3}
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id: 174270058
{'aut_label': '8E1', 'centralizer': '3.a1', 'counter': 94, 'group_counter': 26, 'group_order': 3072, 'label': '8F-1', 'order': 8, 'powers': [12, 96], 'representative': 163861, 'size': 3}
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id: 174270059
{'aut_label': '8E1', 'centralizer': '3.a1', 'counter': 95, 'group_counter': 26, 'group_order': 3072, 'label': '8F3', 'order': 8, 'powers': [12, 93], 'representative': 688133, 'size': 3}
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id: 174270060
{'aut_label': '8E1', 'centralizer': '3.a1', 'counter': 96, 'group_counter': 26, 'group_order': 3072, 'label': '8F-3', 'order': 8, 'powers': [11, 94], 'representative': 950285, 'size': 3}
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id: 174270061
{'aut_label': '8G1', 'centralizer': '3.a1', 'counter': 97, 'group_counter': 26, 'group_order': 3072, 'label': '8G1', 'order': 8, 'powers': [13, 99], 'representative': 107291, 'size': 3}
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id: 174270062
{'aut_label': '8G1', 'centralizer': '3.a1', 'counter': 98, 'group_counter': 26, 'group_order': 3072, 'label': '8G-1', 'order': 8, 'powers': [14, 100], 'representative': 385299, 'size': 3}
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id: 174270063
{'aut_label': '8G1', 'centralizer': '3.a1', 'counter': 99, 'group_counter': 26, 'group_order': 3072, 'label': '8G3', 'order': 8, 'powers': [14, 97], 'representative': 909571, 'size': 3}
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id: 174269746
{'aut_label': '8G1', 'centralizer': '3.a1', 'counter': 100, 'group_counter': 26, 'group_order': 3072, 'label': '8G-3', 'order': 8, 'powers': [13, 98], 'representative': 631563, 'size': 3}
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id: 174269747
{'aut_label': '8G1', 'centralizer': '3.a1', 'counter': 101, 'group_counter': 26, 'group_order': 3072, 'label': '8H1', 'order': 8, 'powers': [14, 103], 'representative': 893715, 'size': 3}
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id: 174269748
{'aut_label': '8G1', 'centralizer': '3.a1', 'counter': 102, 'group_counter': 26, 'group_order': 3072, 'label': '8H-1', 'order': 8, 'powers': [13, 104], 'representative': 647451, 'size': 3}
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id: 174269749
{'aut_label': '8G1', 'centralizer': '3.a1', 'counter': 103, 'group_counter': 26, 'group_order': 3072, 'label': '8H3', 'order': 8, 'powers': [13, 101], 'representative': 123147, 'size': 3}
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id: 174269750
{'aut_label': '8G1', 'centralizer': '3.a1', 'counter': 104, 'group_counter': 26, 'group_order': 3072, 'label': '8H-3', 'order': 8, 'powers': [14, 102], 'representative': 369411, 'size': 3}
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id: 174269751
{'aut_label': '8I1', 'centralizer': '6.a1', 'counter': 105, 'group_counter': 26, 'group_order': 3072, 'label': '8I1', 'order': 8, 'powers': [31, 107], 'representative': 959261, 'size': 6}
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id: 174269752
{'aut_label': '8I1', 'centralizer': '6.a1', 'counter': 106, 'group_counter': 26, 'group_order': 3072, 'label': '8I-1', 'order': 8, 'powers': [32, 108], 'representative': 697109, 'size': 6}
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id: 174269753
{'aut_label': '8I1', 'centralizer': '6.a1', 'counter': 107, 'group_counter': 26, 'group_order': 3072, 'label': '8I3', 'order': 8, 'powers': [32, 105], 'representative': 172805, 'size': 6}
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id: 174269754
{'aut_label': '8I1', 'centralizer': '6.a1', 'counter': 108, 'group_counter': 26, 'group_order': 3072, 'label': '8I-3', 'order': 8, 'powers': [31, 106], 'representative': 434957, 'size': 6}
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id: 174269755
{'aut_label': '8I1', 'centralizer': '6.a1', 'counter': 109, 'group_counter': 26, 'group_order': 3072, 'label': '8J1', 'order': 8, 'powers': [31, 111], 'representative': 451341, 'size': 6}
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id: 174269757
{'aut_label': '8I1', 'centralizer': '6.a1', 'counter': 110, 'group_counter': 26, 'group_order': 3072, 'label': '8J-1', 'order': 8, 'powers': [32, 112], 'representative': 189189, 'size': 6}
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id: 174269758
{'aut_label': '8I1', 'centralizer': '6.a1', 'counter': 111, 'group_counter': 26, 'group_order': 3072, 'label': '8J3', 'order': 8, 'powers': [32, 109], 'representative': 713493, 'size': 6}
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id: 174269759
{'aut_label': '8I1', 'centralizer': '6.a1', 'counter': 112, 'group_counter': 26, 'group_order': 3072, 'label': '8J-3', 'order': 8, 'powers': [31, 110], 'representative': 975645, 'size': 6}
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id: 174269760
{'aut_label': '8I1', 'centralizer': '6.a1', 'counter': 113, 'group_counter': 26, 'group_order': 3072, 'label': '8K1', 'order': 8, 'powers': [31, 115], 'representative': 975117, 'size': 6}
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id: 174269761
{'aut_label': '8I1', 'centralizer': '6.a1', 'counter': 114, 'group_counter': 26, 'group_order': 3072, 'label': '8K-1', 'order': 8, 'powers': [32, 116], 'representative': 712965, 'size': 6}
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id: 174269762
{'aut_label': '8I1', 'centralizer': '6.a1', 'counter': 115, 'group_counter': 26, 'group_order': 3072, 'label': '8K3', 'order': 8, 'powers': [32, 113], 'representative': 188693, 'size': 6}
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id: 174269763
{'aut_label': '8I1', 'centralizer': '6.a1', 'counter': 116, 'group_counter': 26, 'group_order': 3072, 'label': '8K-3', 'order': 8, 'powers': [31, 114], 'representative': 450845, 'size': 6}
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id: 174269764
{'aut_label': '8L1', 'centralizer': '6.a1', 'counter': 117, 'group_counter': 26, 'group_order': 3072, 'label': '8L1', 'order': 8, 'powers': [33, 119], 'representative': 639499, 'size': 6}
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id: 174269765
{'aut_label': '8L1', 'centralizer': '6.a1', 'counter': 118, 'group_counter': 26, 'group_order': 3072, 'label': '8L-1', 'order': 8, 'powers': [34, 120], 'representative': 884739, 'size': 6}
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id: 174269766
{'aut_label': '8L1', 'centralizer': '6.a1', 'counter': 119, 'group_counter': 26, 'group_order': 3072, 'label': '8L3', 'order': 8, 'powers': [34, 117], 'representative': 360467, 'size': 6}
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id: 174269768
{'aut_label': '8L1', 'centralizer': '6.a1', 'counter': 120, 'group_counter': 26, 'group_order': 3072, 'label': '8L-3', 'order': 8, 'powers': [33, 118], 'representative': 115227, 'size': 6}
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id: 174269769
{'aut_label': '8L1', 'centralizer': '6.a1', 'counter': 121, 'group_counter': 26, 'group_order': 3072, 'label': '8M1', 'order': 8, 'powers': [34, 123], 'representative': 377347, 'size': 6}
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id: 174269770
{'aut_label': '8L1', 'centralizer': '6.a1', 'counter': 122, 'group_counter': 26, 'group_order': 3072, 'label': '8M-1', 'order': 8, 'powers': [33, 124], 'representative': 98315, 'size': 6}
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id: 174269771
{'aut_label': '8L1', 'centralizer': '6.a1', 'counter': 123, 'group_counter': 26, 'group_order': 3072, 'label': '8M3', 'order': 8, 'powers': [33, 121], 'representative': 622619, 'size': 6}
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id: 174269772
{'aut_label': '8L1', 'centralizer': '6.a1', 'counter': 124, 'group_counter': 26, 'group_order': 3072, 'label': '8M-3', 'order': 8, 'powers': [34, 122], 'representative': 901651, 'size': 6}
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id: 174269773
{'aut_label': '8I1', 'centralizer': '6.a1', 'counter': 125, 'group_counter': 26, 'group_order': 3072, 'label': '8N1', 'order': 8, 'powers': [31, 127], 'representative': 434461, 'size': 6}
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id: 174269774
{'aut_label': '8I1', 'centralizer': '6.a1', 'counter': 126, 'group_counter': 26, 'group_order': 3072, 'label': '8N-1', 'order': 8, 'powers': [32, 128], 'representative': 172309, 'size': 6}
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id: 174269775
{'aut_label': '8I1', 'centralizer': '6.a1', 'counter': 127, 'group_counter': 26, 'group_order': 3072, 'label': '8N3', 'order': 8, 'powers': [32, 125], 'representative': 696581, 'size': 6}
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id: 174269776
{'aut_label': '8I1', 'centralizer': '6.a1', 'counter': 128, 'group_counter': 26, 'group_order': 3072, 'label': '8N-3', 'order': 8, 'powers': [31, 126], 'representative': 958733, 'size': 6}
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id: 174269777
{'aut_label': '8L1', 'centralizer': '6.a1', 'counter': 129, 'group_counter': 26, 'group_order': 3072, 'label': '8O1', 'order': 8, 'powers': [33, 131], 'representative': 98843, 'size': 6}
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id: 174269779
{'aut_label': '8L1', 'centralizer': '6.a1', 'counter': 130, 'group_counter': 26, 'group_order': 3072, 'label': '8O-1', 'order': 8, 'powers': [34, 132], 'representative': 376851, 'size': 6}
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id: 174269780
{'aut_label': '8L1', 'centralizer': '6.a1', 'counter': 131, 'group_counter': 26, 'group_order': 3072, 'label': '8O3', 'order': 8, 'powers': [34, 129], 'representative': 901123, 'size': 6}
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id: 174269781
{'aut_label': '8L1', 'centralizer': '6.a1', 'counter': 132, 'group_counter': 26, 'group_order': 3072, 'label': '8O-3', 'order': 8, 'powers': [33, 130], 'representative': 623115, 'size': 6}
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id: 174269782
{'aut_label': '8L1', 'centralizer': '6.a1', 'counter': 133, 'group_counter': 26, 'group_order': 3072, 'label': '8P1', 'order': 8, 'powers': [34, 135], 'representative': 885267, 'size': 6}
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id: 174269783
{'aut_label': '8L1', 'centralizer': '6.a1', 'counter': 134, 'group_counter': 26, 'group_order': 3072, 'label': '8P-1', 'order': 8, 'powers': [33, 136], 'representative': 639003, 'size': 6}
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id: 174269784
{'aut_label': '8L1', 'centralizer': '6.a1', 'counter': 135, 'group_counter': 26, 'group_order': 3072, 'label': '8P3', 'order': 8, 'powers': [33, 133], 'representative': 114699, 'size': 6}
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id: 174269785
{'aut_label': '8L1', 'centralizer': '6.a1', 'counter': 136, 'group_counter': 26, 'group_order': 3072, 'label': '8P-3', 'order': 8, 'powers': [34, 134], 'representative': 360963, 'size': 6}
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id: 174269786
{'aut_label': '12A1', 'centralizer': '16.h1', 'counter': 137, 'group_counter': 26, 'group_order': 3072, 'label': '12A1', 'order': 12, 'powers': [67, 15], 'representative': 935533, 'size': 16}
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id: 174269787
{'aut_label': '12A1', 'centralizer': '16.h1', 'counter': 138, 'group_counter': 26, 'group_order': 3072, 'label': '12A-1', 'order': 12, 'powers': [68, 16], 'representative': 187580, 'size': 16}
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id: 174269788
{'aut_label': '12A1', 'centralizer': '16.h1', 'counter': 139, 'group_counter': 26, 'group_order': 3072, 'label': '12A5', 'order': 12, 'powers': [68, 15], 'representative': 711852, 'size': 16}
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id: 174269790
{'aut_label': '12A1', 'centralizer': '16.h1', 'counter': 140, 'group_counter': 26, 'group_order': 3072, 'label': '12A-5', 'order': 12, 'powers': [67, 16], 'representative': 394349, 'size': 16}
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id: 174269791
{'aut_label': '12A1', 'centralizer': '16.h1', 'counter': 141, 'group_counter': 26, 'group_order': 3072, 'label': '12B1', 'order': 12, 'powers': [68, 17], 'representative': 171692, 'size': 16}
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id: 174269792
{'aut_label': '12A1', 'centralizer': '16.h1', 'counter': 142, 'group_counter': 26, 'group_order': 3072, 'label': '12B-1', 'order': 12, 'powers': [67, 18], 'representative': 411261, 'size': 16}
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id: 174269793
{'aut_label': '12A1', 'centralizer': '16.h1', 'counter': 143, 'group_counter': 26, 'group_order': 3072, 'label': '12B5', 'order': 12, 'powers': [67, 17], 'representative': 918653, 'size': 16}
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id: 174269794
{'aut_label': '12A1', 'centralizer': '16.h1', 'counter': 144, 'group_counter': 26, 'group_order': 3072, 'label': '12B-5', 'order': 12, 'powers': [68, 18], 'representative': 695996, 'size': 16}
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id: 174269795
{'aut_label': '12A1', 'centralizer': '16.h1', 'counter': 145, 'group_counter': 26, 'group_order': 3072, 'label': '12C1', 'order': 12, 'powers': [69, 19], 'representative': 943477, 'size': 16}
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id: 174269796
{'aut_label': '12A1', 'centralizer': '16.h1', 'counter': 146, 'group_counter': 26, 'group_order': 3072, 'label': '12C-1', 'order': 12, 'powers': [70, 20], 'representative': 982972, 'size': 16}
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id: 174269797
{'aut_label': '12A1', 'centralizer': '16.h1', 'counter': 147, 'group_counter': 26, 'group_order': 3072, 'label': '12C5', 'order': 12, 'powers': [70, 19], 'representative': 966060, 'size': 16}
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id: 174269798
{'aut_label': '12A1', 'centralizer': '16.h1', 'counter': 148, 'group_counter': 26, 'group_order': 3072, 'label': '12C-5', 'order': 12, 'powers': [69, 20], 'representative': 419173, 'size': 16}
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id: 174269799
{'aut_label': '12A1', 'centralizer': '16.h1', 'counter': 149, 'group_counter': 26, 'group_order': 3072, 'label': '12D1', 'order': 12, 'powers': [69, 21], 'representative': 403317, 'size': 16}
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id: 174269801
{'aut_label': '12A1', 'centralizer': '16.h1', 'counter': 150, 'group_counter': 26, 'group_order': 3072, 'label': '12D-1', 'order': 12, 'powers': [70, 22], 'representative': 458668, 'size': 16}
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id: 174269802
{'aut_label': '12A1', 'centralizer': '16.h1', 'counter': 151, 'group_counter': 26, 'group_order': 3072, 'label': '12D5', 'order': 12, 'powers': [70, 21], 'representative': 441788, 'size': 16}
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id: 174269803
{'aut_label': '12A1', 'centralizer': '16.h1', 'counter': 152, 'group_counter': 26, 'group_order': 3072, 'label': '12D-5', 'order': 12, 'powers': [69, 22], 'representative': 927589, 'size': 16}
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id: 174269804
{'aut_label': '12E1', 'centralizer': '16.h1', 'counter': 153, 'group_counter': 26, 'group_order': 3072, 'label': '12E1', 'order': 12, 'powers': [71, 14], 'representative': 409019, 'size': 16}
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id: 174269805
{'aut_label': '12E1', 'centralizer': '16.h1', 'counter': 154, 'group_counter': 26, 'group_order': 3072, 'label': '12E-1', 'order': 12, 'powers': [72, 13], 'representative': 902764, 'size': 16}
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id: 174269806
{'aut_label': '12E1', 'centralizer': '16.h1', 'counter': 155, 'group_counter': 26, 'group_order': 3072, 'label': '12E5', 'order': 12, 'powers': [72, 14], 'representative': 361580, 'size': 16}
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id: 174269807
{'aut_label': '12E1', 'centralizer': '16.h1', 'counter': 156, 'group_counter': 26, 'group_order': 3072, 'label': '12E-5', 'order': 12, 'powers': [71, 13], 'representative': 425899, 'size': 16}
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id: 174269808
{'aut_label': '12F1', 'centralizer': '16.h1', 'counter': 157, 'group_counter': 26, 'group_order': 3072, 'label': '12F1', 'order': 12, 'powers': [71, 12], 'representative': 950203, 'size': 16}
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id: 174269809
{'aut_label': '12F1', 'centralizer': '16.h1', 'counter': 158, 'group_counter': 26, 'group_order': 3072, 'label': '12F-1', 'order': 12, 'powers': [72, 11], 'representative': 378492, 'size': 16}
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id: 174269810
{'aut_label': '12F1', 'centralizer': '16.h1', 'counter': 159, 'group_counter': 26, 'group_order': 3072, 'label': '12F5', 'order': 12, 'powers': [72, 12], 'representative': 885884, 'size': 16}
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id: 174269812
{'aut_label': '12F1', 'centralizer': '16.h1', 'counter': 160, 'group_counter': 26, 'group_order': 3072, 'label': '12F-5', 'order': 12, 'powers': [71, 11], 'representative': 933291, 'size': 16}
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id: 174269813
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 161, 'group_counter': 26, 'group_order': 3072, 'label': '16A1', 'order': 16, 'powers': [75, 163], 'representative': 633821, 'size': 4}
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id: 174269814
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 162, 'group_counter': 26, 'group_order': 3072, 'label': '16A-1', 'order': 16, 'powers': [76, 164], 'representative': 231625, 'size': 4}
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id: 174269815
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 163, 'group_counter': 26, 'group_order': 3072, 'label': '16A3', 'order': 16, 'powers': [73, 168], 'representative': 510657, 'size': 4}
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id: 174269816
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 164, 'group_counter': 26, 'group_order': 3072, 'label': '16A-3', 'order': 16, 'powers': [74, 167], 'representative': 387525, 'size': 4}
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id: 174269817
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 165, 'group_counter': 26, 'group_order': 3072, 'label': '16A5', 'order': 16, 'powers': [74, 162], 'representative': 911829, 'size': 4}
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id: 174269818
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 166, 'group_counter': 26, 'group_order': 3072, 'label': '16A-5', 'order': 16, 'powers': [73, 161], 'representative': 1034961, 'size': 4}
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id: 174269819
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 167, 'group_counter': 26, 'group_order': 3072, 'label': '16A7', 'order': 16, 'powers': [76, 165], 'representative': 755929, 'size': 4}
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id: 174269820
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 168, 'group_counter': 26, 'group_order': 3072, 'label': '16A-7', 'order': 16, 'powers': [75, 166], 'representative': 109517, 'size': 4}
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id: 174269821
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 169, 'group_counter': 26, 'group_order': 3072, 'label': '16B1', 'order': 16, 'powers': [75, 171], 'representative': 649677, 'size': 4}
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id: 174269823
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 170, 'group_counter': 26, 'group_order': 3072, 'label': '16B-1', 'order': 16, 'powers': [76, 172], 'representative': 248537, 'size': 4}
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id: 174269824
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 171, 'group_counter': 26, 'group_order': 3072, 'label': '16B3', 'order': 16, 'powers': [73, 176], 'representative': 493777, 'size': 4}
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id: 174269825
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 172, 'group_counter': 26, 'group_order': 3072, 'label': '16B-3', 'order': 16, 'powers': [74, 175], 'representative': 371669, 'size': 4}
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id: 174269826
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 173, 'group_counter': 26, 'group_order': 3072, 'label': '16B5', 'order': 16, 'powers': [74, 170], 'representative': 895941, 'size': 4}
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id: 174269827
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 174, 'group_counter': 26, 'group_order': 3072, 'label': '16B-5', 'order': 16, 'powers': [73, 169], 'representative': 1018049, 'size': 4}
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id: 174269828
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 175, 'group_counter': 26, 'group_order': 3072, 'label': '16B7', 'order': 16, 'powers': [76, 173], 'representative': 772809, 'size': 4}
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id: 174269829
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 176, 'group_counter': 26, 'group_order': 3072, 'label': '16B-7', 'order': 16, 'powers': [75, 174], 'representative': 125405, 'size': 4}
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id: 174269830
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 177, 'group_counter': 26, 'group_order': 3072, 'label': '16C1', 'order': 16, 'powers': [79, 179], 'representative': 457547, 'size': 4}
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id: 174269831
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 178, 'group_counter': 26, 'group_order': 3072, 'label': '16C-1', 'order': 16, 'powers': [80, 180], 'representative': 841807, 'size': 4}
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id: 174269832
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 179, 'group_counter': 26, 'group_order': 3072, 'label': '16C3', 'order': 16, 'powers': [77, 184], 'representative': 563799, 'size': 4}
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id: 174269834
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 180, 'group_counter': 26, 'group_order': 3072, 'label': '16C-3', 'order': 16, 'powers': [78, 183], 'representative': 702787, 'size': 4}
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id: 174269835
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 181, 'group_counter': 26, 'group_order': 3072, 'label': '16C5', 'order': 16, 'powers': [78, 178], 'representative': 178515, 'size': 4}
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id: 174269836
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 182, 'group_counter': 26, 'group_order': 3072, 'label': '16C-5', 'order': 16, 'powers': [77, 177], 'representative': 39495, 'size': 4}
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id: 174269837
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 183, 'group_counter': 26, 'group_order': 3072, 'label': '16C7', 'order': 16, 'powers': [80, 181], 'representative': 317535, 'size': 4}
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id: 174269838
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 184, 'group_counter': 26, 'group_order': 3072, 'label': '16C-7', 'order': 16, 'powers': [79, 182], 'representative': 981851, 'size': 4}
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id: 174269839
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 185, 'group_counter': 26, 'group_order': 3072, 'label': '16D1', 'order': 16, 'powers': [79, 187], 'representative': 440667, 'size': 4}
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id: 174269840
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 186, 'group_counter': 26, 'group_order': 3072, 'label': '16D-1', 'order': 16, 'powers': [80, 188], 'representative': 825951, 'size': 4}
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id: 174269841
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 187, 'group_counter': 26, 'group_order': 3072, 'label': '16D3', 'order': 16, 'powers': [77, 192], 'representative': 579655, 'size': 4}
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id: 174269842
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 188, 'group_counter': 26, 'group_order': 3072, 'label': '16D-3', 'order': 16, 'powers': [78, 191], 'representative': 719699, 'size': 4}
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id: 174269843
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 189, 'group_counter': 26, 'group_order': 3072, 'label': '16D5', 'order': 16, 'powers': [78, 186], 'representative': 195395, 'size': 4}
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id: 174269845
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 190, 'group_counter': 26, 'group_order': 3072, 'label': '16D-5', 'order': 16, 'powers': [77, 185], 'representative': 55383, 'size': 4}
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id: 174269846
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 191, 'group_counter': 26, 'group_order': 3072, 'label': '16D7', 'order': 16, 'powers': [80, 189], 'representative': 301647, 'size': 4}
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id: 174269847
{'aut_label': '16A1', 'centralizer': '4.e1', 'counter': 192, 'group_counter': 26, 'group_order': 3072, 'label': '16D-7', 'order': 16, 'powers': [79, 190], 'representative': 964939, 'size': 4}
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id: 174269848
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 193, 'group_counter': 26, 'group_order': 3072, 'label': '16E1', 'order': 16, 'powers': [73, 195], 'representative': 502209, 'size': 12}
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id: 174269849
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 194, 'group_counter': 26, 'group_order': 3072, 'label': '16E-1', 'order': 16, 'powers': [74, 196], 'representative': 379077, 'size': 12}
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id: 174269850
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 195, 'group_counter': 26, 'group_order': 3072, 'label': '16E3', 'order': 16, 'powers': [75, 200], 'representative': 101069, 'size': 12}
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id: 174269851
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 196, 'group_counter': 26, 'group_order': 3072, 'label': '16E-3', 'order': 16, 'powers': [76, 199], 'representative': 781273, 'size': 12}
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id: 174269852
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 197, 'group_counter': 26, 'group_order': 3072, 'label': '16E5', 'order': 16, 'powers': [76, 194], 'representative': 256969, 'size': 12}
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id: 174269853
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 198, 'group_counter': 26, 'group_order': 3072, 'label': '16E-5', 'order': 16, 'powers': [75, 193], 'representative': 625373, 'size': 12}
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id: 174269854
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 199, 'group_counter': 26, 'group_order': 3072, 'label': '16E7', 'order': 16, 'powers': [74, 197], 'representative': 903381, 'size': 12}
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id: 174269857
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 200, 'group_counter': 26, 'group_order': 3072, 'label': '16E-7', 'order': 16, 'powers': [73, 198], 'representative': 1026513, 'size': 12}
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id: 174269858
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 201, 'group_counter': 26, 'group_order': 3072, 'label': '16F1', 'order': 16, 'powers': [73, 203], 'representative': 519121, 'size': 12}
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id: 174269859
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 202, 'group_counter': 26, 'group_order': 3072, 'label': '16F-1', 'order': 16, 'powers': [74, 204], 'representative': 363221, 'size': 12}
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id: 174269860
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 203, 'group_counter': 26, 'group_order': 3072, 'label': '16F3', 'order': 16, 'powers': [75, 208], 'representative': 116957, 'size': 12}
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id: 174269861
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 204, 'group_counter': 26, 'group_order': 3072, 'label': '16F-3', 'order': 16, 'powers': [76, 207], 'representative': 764361, 'size': 12}
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id: 174269862
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 205, 'group_counter': 26, 'group_order': 3072, 'label': '16F5', 'order': 16, 'powers': [76, 202], 'representative': 240089, 'size': 12}
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id: 174269863
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 206, 'group_counter': 26, 'group_order': 3072, 'label': '16F-5', 'order': 16, 'powers': [75, 201], 'representative': 641229, 'size': 12}
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id: 174269864
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 207, 'group_counter': 26, 'group_order': 3072, 'label': '16F7', 'order': 16, 'powers': [74, 205], 'representative': 887493, 'size': 12}
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id: 174269865
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 208, 'group_counter': 26, 'group_order': 3072, 'label': '16F-7', 'order': 16, 'powers': [73, 206], 'representative': 1043393, 'size': 12}
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id: 174269866
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 209, 'group_counter': 26, 'group_order': 3072, 'label': '16G1', 'order': 16, 'powers': [77, 211], 'representative': 572247, 'size': 12}
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id: 174269868
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 210, 'group_counter': 26, 'group_order': 3072, 'label': '16G-1', 'order': 16, 'powers': [78, 212], 'representative': 711235, 'size': 12}
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id: 174269869
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 211, 'group_counter': 26, 'group_order': 3072, 'label': '16G3', 'order': 16, 'powers': [79, 216], 'representative': 956507, 'size': 12}
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id: 174269870
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 212, 'group_counter': 26, 'group_order': 3072, 'label': '16G-3', 'order': 16, 'powers': [80, 215], 'representative': 325983, 'size': 12}
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id: 174269871
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 213, 'group_counter': 26, 'group_order': 3072, 'label': '16G5', 'order': 16, 'powers': [80, 210], 'representative': 850255, 'size': 12}
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id: 174269872
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 214, 'group_counter': 26, 'group_order': 3072, 'label': '16G-5', 'order': 16, 'powers': [79, 209], 'representative': 432203, 'size': 12}
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id: 174269873
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 215, 'group_counter': 26, 'group_order': 3072, 'label': '16G7', 'order': 16, 'powers': [78, 213], 'representative': 186963, 'size': 12}
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id: 174269874
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 216, 'group_counter': 26, 'group_order': 3072, 'label': '16G-7', 'order': 16, 'powers': [77, 214], 'representative': 47943, 'size': 12}
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id: 174269875
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 217, 'group_counter': 26, 'group_order': 3072, 'label': '16H1', 'order': 16, 'powers': [79, 219], 'representative': 449115, 'size': 12}
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id: 174269876
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 218, 'group_counter': 26, 'group_order': 3072, 'label': '16H-1', 'order': 16, 'powers': [80, 220], 'representative': 834399, 'size': 12}
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id: 174269877
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 219, 'group_counter': 26, 'group_order': 3072, 'label': '16H3', 'order': 16, 'powers': [77, 224], 'representative': 588103, 'size': 12}
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id: 174269879
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 220, 'group_counter': 26, 'group_order': 3072, 'label': '16H-3', 'order': 16, 'powers': [78, 223], 'representative': 694355, 'size': 12}
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id: 174269880
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 221, 'group_counter': 26, 'group_order': 3072, 'label': '16H5', 'order': 16, 'powers': [78, 218], 'representative': 170051, 'size': 12}
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id: 174269881
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 222, 'group_counter': 26, 'group_order': 3072, 'label': '16H-5', 'order': 16, 'powers': [77, 217], 'representative': 63831, 'size': 12}
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id: 174269882
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 223, 'group_counter': 26, 'group_order': 3072, 'label': '16H7', 'order': 16, 'powers': [80, 221], 'representative': 310095, 'size': 12}
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id: 174269883
{'aut_label': '16E1', 'centralizer': '12.l1', 'counter': 224, 'group_counter': 26, 'group_order': 3072, 'label': '16H-7', 'order': 16, 'powers': [79, 222], 'representative': 973387, 'size': 12}
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id: 174269884
{'aut_label': '24A1', 'centralizer': '16.h1', 'counter': 225, 'group_counter': 26, 'group_order': 3072, 'label': '24A1', 'order': 24, 'powers': [153, 81], 'representative': 568380, 'size': 16}
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id: 174269885
{'aut_label': '24A1', 'centralizer': '16.h1', 'counter': 226, 'group_counter': 26, 'group_order': 3072, 'label': '24A-1', 'order': 24, 'powers': [154, 82], 'representative': 923105, 'size': 16}
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id: 174269886
{'aut_label': '24A1', 'centralizer': '16.h1', 'counter': 227, 'group_counter': 26, 'group_order': 3072, 'label': '24A5', 'order': 24, 'powers': [155, 84], 'representative': 406777, 'size': 16}
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id: 174269887
{'aut_label': '24A1', 'centralizer': '16.h1', 'counter': 228, 'group_counter': 26, 'group_order': 3072, 'label': '24A-5', 'order': 24, 'powers': [156, 83], 'representative': 298284, 'size': 16}
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id: 174269888
{'aut_label': '24A1', 'centralizer': '16.h1', 'counter': 229, 'group_counter': 26, 'group_order': 3072, 'label': '24A7', 'order': 24, 'powers': [156, 82], 'representative': 839468, 'size': 16}
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id: 174269890
{'aut_label': '24A1', 'centralizer': '16.h1', 'counter': 230, 'group_counter': 26, 'group_order': 3072, 'label': '24A-7', 'order': 24, 'powers': [155, 81], 'representative': 423657, 'size': 16}
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id: 174269891
{'aut_label': '24A1', 'centralizer': '16.h1', 'counter': 231, 'group_counter': 26, 'group_order': 3072, 'label': '24A11', 'order': 24, 'powers': [154, 83], 'representative': 940017, 'size': 16}
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id: 174269892
{'aut_label': '24A1', 'centralizer': '16.h1', 'counter': 232, 'group_counter': 26, 'group_order': 3072, 'label': '24A-11', 'order': 24, 'powers': [153, 84], 'representative': 60988, 'size': 16}
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id: 174269893
{'aut_label': '24A1', 'centralizer': '16.h1', 'counter': 233, 'group_counter': 26, 'group_order': 3072, 'label': '24B1', 'order': 24, 'powers': [153, 85], 'representative': 44076, 'size': 16}
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id: 174269894
{'aut_label': '24A1', 'centralizer': '16.h1', 'counter': 234, 'group_counter': 26, 'group_order': 3072, 'label': '24B-1', 'order': 24, 'powers': [154, 86], 'representative': 415713, 'size': 16}
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id: 174269895
{'aut_label': '24A1', 'centralizer': '16.h1', 'counter': 235, 'group_counter': 26, 'group_order': 3072, 'label': '24B5', 'order': 24, 'powers': [155, 88], 'representative': 947961, 'size': 16}
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id: 174269896
{'aut_label': '24A1', 'centralizer': '16.h1', 'counter': 236, 'group_counter': 26, 'group_order': 3072, 'label': '24B-5', 'order': 24, 'powers': [156, 87], 'representative': 822588, 'size': 16}
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id: 174269897
{'aut_label': '24A1', 'centralizer': '16.h1', 'counter': 237, 'group_counter': 26, 'group_order': 3072, 'label': '24B7', 'order': 24, 'powers': [156, 86], 'representative': 315196, 'size': 16}
-
id: 174269898
{'aut_label': '24A1', 'centralizer': '16.h1', 'counter': 238, 'group_counter': 26, 'group_order': 3072, 'label': '24B-7', 'order': 24, 'powers': [155, 85], 'representative': 931049, 'size': 16}
-
id: 174269899
{'aut_label': '24A1', 'centralizer': '16.h1', 'counter': 239, 'group_counter': 26, 'group_order': 3072, 'label': '24B11', 'order': 24, 'powers': [154, 87], 'representative': 398833, 'size': 16}
-
id: 174269901
{'aut_label': '24A1', 'centralizer': '16.h1', 'counter': 240, 'group_counter': 26, 'group_order': 3072, 'label': '24B-11', 'order': 24, 'powers': [153, 88], 'representative': 585260, 'size': 16}
-
id: 174269902
{'aut_label': '24C1', 'centralizer': '16.h1', 'counter': 241, 'group_counter': 26, 'group_order': 3072, 'label': '24C1', 'order': 24, 'powers': [157, 75], 'representative': 234988, 'size': 16}
-
id: 174269903
{'aut_label': '24C1', 'centralizer': '16.h1', 'counter': 242, 'group_counter': 26, 'group_order': 3072, 'label': '24C-1', 'order': 24, 'powers': [158, 76], 'representative': 396591, 'size': 16}
-
id: 174269904
{'aut_label': '24C1', 'centralizer': '16.h1', 'counter': 243, 'group_counter': 26, 'group_order': 3072, 'label': '24C5', 'order': 24, 'powers': [159, 74], 'representative': 404535, 'size': 16}
-
id: 174269905
{'aut_label': '24C1', 'centralizer': '16.h1', 'counter': 244, 'group_counter': 26, 'group_order': 3072, 'label': '24C-5', 'order': 24, 'powers': [160, 73], 'representative': 1029356, 'size': 16}
-
id: 174269906
{'aut_label': '24C1', 'centralizer': '16.h1', 'counter': 245, 'group_counter': 26, 'group_order': 3072, 'label': '24C7', 'order': 24, 'powers': [160, 76], 'representative': 521964, 'size': 16}
-
id: 174269907
{'aut_label': '24C1', 'centralizer': '16.h1', 'counter': 246, 'group_counter': 26, 'group_order': 3072, 'label': '24C-7', 'order': 24, 'powers': [159, 75], 'representative': 421415, 'size': 16}
-
id: 174269908
{'aut_label': '24C1', 'centralizer': '16.h1', 'counter': 247, 'group_counter': 26, 'group_order': 3072, 'label': '24C11', 'order': 24, 'powers': [158, 73], 'representative': 413503, 'size': 16}
-
id: 174269909
{'aut_label': '24C1', 'centralizer': '16.h1', 'counter': 248, 'group_counter': 26, 'group_order': 3072, 'label': '24C-11', 'order': 24, 'powers': [157, 74], 'representative': 776172, 'size': 16}
-
id: 174269910
{'aut_label': '24C1', 'centralizer': '16.h1', 'counter': 249, 'group_counter': 26, 'group_order': 3072, 'label': '24D1', 'order': 24, 'powers': [157, 79], 'representative': 759292, 'size': 16}
-
id: 174269912
{'aut_label': '24C1', 'centralizer': '16.h1', 'counter': 250, 'group_counter': 26, 'group_order': 3072, 'label': '24D-1', 'order': 24, 'powers': [158, 80], 'representative': 937775, 'size': 16}
-
id: 174269913
{'aut_label': '24C1', 'centralizer': '16.h1', 'counter': 251, 'group_counter': 26, 'group_order': 3072, 'label': '24D5', 'order': 24, 'powers': [159, 78], 'representative': 945719, 'size': 16}
-
id: 174269914
{'aut_label': '24C1', 'centralizer': '16.h1', 'counter': 252, 'group_counter': 26, 'group_order': 3072, 'label': '24D-5', 'order': 24, 'powers': [160, 77], 'representative': 505084, 'size': 16}
-
id: 174269915
{'aut_label': '24C1', 'centralizer': '16.h1', 'counter': 253, 'group_counter': 26, 'group_order': 3072, 'label': '24D7', 'order': 24, 'powers': [160, 80], 'representative': 1046268, 'size': 16}
-
id: 174269916
{'aut_label': '24C1', 'centralizer': '16.h1', 'counter': 254, 'group_counter': 26, 'group_order': 3072, 'label': '24D-7', 'order': 24, 'powers': [159, 79], 'representative': 928807, 'size': 16}
-
id: 174269917
{'aut_label': '24C1', 'centralizer': '16.h1', 'counter': 255, 'group_counter': 26, 'group_order': 3072, 'label': '24D11', 'order': 24, 'powers': [158, 77], 'representative': 920895, 'size': 16}
-
id: 174269918
{'aut_label': '24C1', 'centralizer': '16.h1', 'counter': 256, 'group_counter': 26, 'group_order': 3072, 'label': '24D-11', 'order': 24, 'powers': [157, 78], 'representative': 251900, 'size': 16}
-
id: 174269919
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 257, 'group_counter': 26, 'group_order': 3072, 'label': '48A1', 'order': 48, 'powers': [241, 161], 'representative': 998829, 'size': 16}
-
id: 174269920
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 258, 'group_counter': 26, 'group_order': 3072, 'label': '48A-1', 'order': 48, 'powers': [242, 162], 'representative': 519722, 'size': 16}
-
id: 174269921
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 259, 'group_counter': 26, 'group_order': 3072, 'label': '48A5', 'order': 48, 'powers': [243, 165], 'representative': 908466, 'size': 16}
-
id: 174269923
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 260, 'group_counter': 26, 'group_order': 3072, 'label': '48A-5', 'order': 48, 'powers': [244, 166], 'representative': 216889, 'size': 16}
-
id: 174269924
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 261, 'group_counter': 26, 'group_order': 3072, 'label': '48A7', 'order': 48, 'powers': [245, 167], 'representative': 749105, 'size': 16}
-
id: 174269925
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 262, 'group_counter': 26, 'group_order': 3072, 'label': '48A-7', 'order': 48, 'powers': [246, 168], 'representative': 638370, 'size': 16}
-
id: 174269926
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 263, 'group_counter': 26, 'group_order': 3072, 'label': '48A11', 'order': 48, 'powers': [247, 166], 'representative': 757050, 'size': 16}
-
id: 174269927
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 264, 'group_counter': 26, 'group_order': 3072, 'label': '48A-11', 'order': 48, 'powers': [248, 165], 'representative': 466613, 'size': 16}
-
id: 174269928
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 265, 'group_counter': 26, 'group_order': 3072, 'label': '48A13', 'order': 48, 'powers': [248, 164], 'representative': 482469, 'size': 16}
-
id: 174269929
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 266, 'group_counter': 26, 'group_order': 3072, 'label': '48A-13', 'order': 48, 'powers': [247, 163], 'representative': 249658, 'size': 16}
-
id: 174269930
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 267, 'group_counter': 26, 'group_order': 3072, 'label': '48A17', 'order': 48, 'powers': [246, 161], 'representative': 130978, 'size': 16}
-
id: 174269931
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 268, 'group_counter': 26, 'group_order': 3072, 'label': '48A-17', 'order': 48, 'powers': [245, 162], 'representative': 732193, 'size': 16}
-
id: 174269932
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 269, 'group_counter': 26, 'group_order': 3072, 'label': '48A19', 'order': 48, 'powers': [244, 163], 'representative': 199977, 'size': 16}
-
id: 174269934
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 270, 'group_counter': 26, 'group_order': 3072, 'label': '48A-19', 'order': 48, 'powers': [243, 164], 'representative': 368306, 'size': 16}
-
id: 174269935
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 271, 'group_counter': 26, 'group_order': 3072, 'label': '48A23', 'order': 48, 'powers': [242, 167], 'representative': 1027114, 'size': 16}
-
id: 174269936
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 272, 'group_counter': 26, 'group_order': 3072, 'label': '48A-23', 'order': 48, 'powers': [241, 168], 'representative': 1015741, 'size': 16}
-
id: 174269937
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 273, 'group_counter': 26, 'group_order': 3072, 'label': '48B1', 'order': 48, 'powers': [241, 169], 'representative': 491437, 'size': 16}
-
id: 174269938
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 274, 'group_counter': 26, 'group_order': 3072, 'label': '48B-1', 'order': 48, 'powers': [242, 170], 'representative': 1044026, 'size': 16}
-
id: 174269939
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 275, 'group_counter': 26, 'group_order': 3072, 'label': '48B5', 'order': 48, 'powers': [243, 173], 'representative': 384162, 'size': 16}
-
id: 174269940
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 276, 'group_counter': 26, 'group_order': 3072, 'label': '48B-5', 'order': 48, 'powers': [244, 174], 'representative': 724281, 'size': 16}
-
id: 174269941
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 277, 'group_counter': 26, 'group_order': 3072, 'label': '48B7', 'order': 48, 'powers': [245, 175], 'representative': 207921, 'size': 16}
-
id: 174269942
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 278, 'group_counter': 26, 'group_order': 3072, 'label': '48B-7', 'order': 48, 'powers': [246, 176], 'representative': 114098, 'size': 16}
-
id: 174269943
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 279, 'group_counter': 26, 'group_order': 3072, 'label': '48B11', 'order': 48, 'powers': [247, 174], 'representative': 232746, 'size': 16}
-
id: 174269945
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 280, 'group_counter': 26, 'group_order': 3072, 'label': '48B-11', 'order': 48, 'powers': [248, 173], 'representative': 1006773, 'size': 16}
-
id: 174269946
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 281, 'group_counter': 26, 'group_order': 3072, 'label': '48B13', 'order': 48, 'powers': [248, 172], 'representative': 990885, 'size': 16}
-
id: 174269947
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 282, 'group_counter': 26, 'group_order': 3072, 'label': '48B-13', 'order': 48, 'powers': [247, 171], 'representative': 773930, 'size': 16}
-
id: 174269948
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 283, 'group_counter': 26, 'group_order': 3072, 'label': '48B17', 'order': 48, 'powers': [246, 169], 'representative': 655282, 'size': 16}
-
id: 174269949
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 284, 'group_counter': 26, 'group_order': 3072, 'label': '48B-17', 'order': 48, 'powers': [245, 170], 'representative': 224801, 'size': 16}
-
id: 174269950
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 285, 'group_counter': 26, 'group_order': 3072, 'label': '48B19', 'order': 48, 'powers': [244, 171], 'representative': 741161, 'size': 16}
-
id: 174269951
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 286, 'group_counter': 26, 'group_order': 3072, 'label': '48B-19', 'order': 48, 'powers': [243, 172], 'representative': 892578, 'size': 16}
-
id: 174269952
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 287, 'group_counter': 26, 'group_order': 3072, 'label': '48B23', 'order': 48, 'powers': [242, 175], 'representative': 502842, 'size': 16}
-
id: 174269953
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 288, 'group_counter': 26, 'group_order': 3072, 'label': '48B-23', 'order': 48, 'powers': [241, 176], 'representative': 474557, 'size': 16}
-
id: 174269954
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 289, 'group_counter': 26, 'group_order': 3072, 'label': '48C1', 'order': 48, 'powers': [249, 177], 'representative': 877939, 'size': 16}
-
id: 174269956
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 290, 'group_counter': 26, 'group_order': 3072, 'label': '48C-1', 'order': 48, 'powers': [250, 178], 'representative': 300526, 'size': 16}
-
id: 174269957
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 291, 'group_counter': 26, 'group_order': 3072, 'label': '48C5', 'order': 48, 'powers': [251, 181], 'representative': 436086, 'size': 16}
-
id: 174269958
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 292, 'group_counter': 26, 'group_order': 3072, 'label': '48C-5', 'order': 48, 'powers': [252, 182], 'representative': 71143, 'size': 16}
-
id: 174269959
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 293, 'group_counter': 26, 'group_order': 3072, 'label': '48C7', 'order': 48, 'powers': [253, 183], 'representative': 620271, 'size': 16}
-
id: 174269960
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 294, 'group_counter': 26, 'group_order': 3072, 'label': '48C-7', 'order': 48, 'powers': [254, 184], 'representative': 706150, 'size': 16}
-
id: 174269961
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 295, 'group_counter': 26, 'group_order': 3072, 'label': '48C11', 'order': 48, 'powers': [255, 182], 'representative': 63230, 'size': 16}
-
id: 174269962
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 296, 'group_counter': 26, 'group_order': 3072, 'label': '48C-11', 'order': 48, 'powers': [256, 181], 'representative': 328811, 'size': 16}
-
id: 174269963
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 297, 'group_counter': 26, 'group_order': 3072, 'label': '48C13', 'order': 48, 'powers': [256, 180], 'representative': 345723, 'size': 16}
-
id: 174269964
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 298, 'group_counter': 26, 'group_order': 3072, 'label': '48C-13', 'order': 48, 'powers': [255, 179], 'representative': 570622, 'size': 16}
-
id: 174269965
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 299, 'group_counter': 26, 'group_order': 3072, 'label': '48C17', 'order': 48, 'powers': [254, 177], 'representative': 164966, 'size': 16}
-
id: 174269968
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 300, 'group_counter': 26, 'group_order': 3072, 'label': '48C-17', 'order': 48, 'powers': [253, 178], 'representative': 603391, 'size': 16}
-
id: 174269969
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 301, 'group_counter': 26, 'group_order': 3072, 'label': '48C19', 'order': 48, 'powers': [252, 179], 'representative': 88055, 'size': 16}
-
id: 174269970
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 302, 'group_counter': 26, 'group_order': 3072, 'label': '48C-19', 'order': 48, 'powers': [251, 180], 'representative': 976246, 'size': 16}
-
id: 174269971
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 303, 'group_counter': 26, 'group_order': 3072, 'label': '48C23', 'order': 48, 'powers': [250, 183], 'representative': 841710, 'size': 16}
-
id: 174269972
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 304, 'group_counter': 26, 'group_order': 3072, 'label': '48C-23', 'order': 48, 'powers': [249, 184], 'representative': 862051, 'size': 16}
-
id: 174269973
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 305, 'group_counter': 26, 'group_order': 3072, 'label': '48D1', 'order': 48, 'powers': [249, 185], 'representative': 337779, 'size': 16}
-
id: 174269974
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 306, 'group_counter': 26, 'group_order': 3072, 'label': '48D-1', 'order': 48, 'powers': [250, 186], 'representative': 824830, 'size': 16}
-
id: 174269975
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 307, 'group_counter': 26, 'group_order': 3072, 'label': '48D5', 'order': 48, 'powers': [251, 189], 'representative': 960358, 'size': 16}
-
id: 174269976
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 308, 'group_counter': 26, 'group_order': 3072, 'label': '48D-5', 'order': 48, 'powers': [252, 190], 'representative': 612327, 'size': 16}
-
id: 174269977
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 309, 'group_counter': 26, 'group_order': 3072, 'label': '48D7', 'order': 48, 'powers': [253, 191], 'representative': 79087, 'size': 16}
-
id: 174269979
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 310, 'group_counter': 26, 'group_order': 3072, 'label': '48D-7', 'order': 48, 'powers': [254, 192], 'representative': 181878, 'size': 16}
-
id: 174269980
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 311, 'group_counter': 26, 'group_order': 3072, 'label': '48D11', 'order': 48, 'powers': [255, 190], 'representative': 587502, 'size': 16}
-
id: 174269981
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 312, 'group_counter': 26, 'group_order': 3072, 'label': '48D-11', 'order': 48, 'powers': [256, 189], 'representative': 869995, 'size': 16}
-
id: 174269982
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 313, 'group_counter': 26, 'group_order': 3072, 'label': '48D13', 'order': 48, 'powers': [256, 188], 'representative': 853115, 'size': 16}
-
id: 174269983
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 314, 'group_counter': 26, 'group_order': 3072, 'label': '48D-13', 'order': 48, 'powers': [255, 187], 'representative': 46318, 'size': 16}
-
id: 174269984
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 315, 'group_counter': 26, 'group_order': 3072, 'label': '48D17', 'order': 48, 'powers': [254, 185], 'representative': 689270, 'size': 16}
-
id: 174269985
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 316, 'group_counter': 26, 'group_order': 3072, 'label': '48D-17', 'order': 48, 'powers': [253, 186], 'representative': 95999, 'size': 16}
-
id: 174269986
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 317, 'group_counter': 26, 'group_order': 3072, 'label': '48D19', 'order': 48, 'powers': [252, 187], 'representative': 595447, 'size': 16}
-
id: 174269987
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 318, 'group_counter': 26, 'group_order': 3072, 'label': '48D-19', 'order': 48, 'powers': [251, 188], 'representative': 451942, 'size': 16}
-
id: 174269988
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 319, 'group_counter': 26, 'group_order': 3072, 'label': '48D23', 'order': 48, 'powers': [250, 191], 'representative': 317438, 'size': 16}
-
id: 174269990
{'aut_label': '48A1', 'centralizer': '16.h1', 'counter': 320, 'group_counter': 26, 'group_order': 3072, 'label': '48D-23', 'order': 48, 'powers': [249, 192], 'representative': 353635, 'size': 16}
-
gps_qchar • Show schema
Hide schema
-
id: 18071762
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
-
id: 18071773
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1], 'schur_index': 1}
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id: 18071784
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1], 'schur_index': 1}
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id: 18071795
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
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id: 18071806
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1e', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 18071817
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, 2, -2, 2, 2, 0, 0, -2, -2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 2, -2, -2, 0, -2, 2, 0, -2, 0, 0, 2, -2, 2, 2, 0, 0, 0, 0, -2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, -2, -2, -2, -2, -2, 2, 2, -2, 0, 0, 0, -2, 0, 2, 2, -2, 0, 0, -2, 2, 0, 2, -2, 0, 0, 2, 2, -2, 2, -2, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 2, 2, 0, 2, 0, -2, 0, 2, 2, 2, 0, -2, 0, 0, 0, -2, 0, 0, -2, 2, -2, 2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, -2, 0, 0, 2, -2, 0, 0, 2, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, -2, -2, 2, 0, -2, 2, 2, -2, 2, 2, 0, 0, -2, 0, 0, 2, 2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, -2, 0, 0, 0, 2, 0, 0, 2, 2, -2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 2, -2, -2, 0, 0, -2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 2, -2, 0, 0, -2, 2, 2, 2, 2, 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, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 0, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 0], 'schur_index': 1}
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id: 18071828
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1g', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, 2, -2, 2, 2, 0, 0, -2, -2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 2, -2, -2, 0, -2, 2, 0, -2, 0, 0, 2, -2, 2, 2, 0, 0, 0, 0, -2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, -2, -2, -2, -2, -2, 2, 2, -2, 0, 0, 0, -2, 0, 2, 2, -2, 0, 0, -2, 2, 0, 2, -2, 0, 0, 2, 2, -2, 2, -2, 0, 2, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, 2, 2, 0, 2, 0, -2, 0, 2, 2, 2, 0, -2, 0, 0, 0, -2, 0, 0, -2, 2, -2, 2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, -2, 0, 0, 2, -2, 0, 0, 2, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, 2, 2, -2, 0, 2, -2, -2, 2, -2, -2, 0, 0, 2, 0, 0, -2, -2, 2, 0, -2, 2, 2, 0, 0, 0, 0, 2, -2, 0, -2, 2, 0, 2, 0, 0, 0, -2, 0, 0, -2, -2, 2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 2, -2, -2, 0, 0, -2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 2, -2, 0, 0, -2, 2, 2, 2, -2, 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, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 0, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 0], 'schur_index': 1}
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id: 18071839
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1h', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, 2, -2, 2, 2, 0, 0, -2, -2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 2, -2, -2, 0, -2, 2, 0, -2, 0, 0, 2, -2, 2, 2, 0, 0, 0, 0, -2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, -2, -2, -2, -2, -2, 2, 2, -2, 0, 0, 0, 2, 0, -2, -2, 2, 0, 0, 2, -2, 0, -2, 2, 0, 0, -2, -2, 2, -2, 2, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0, -2, 0, 2, 0, -2, -2, -2, 0, 2, 0, 0, 0, 2, 0, 0, 2, -2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, -2, 0, 0, 2, -2, 0, 0, 2, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, -2, 0, 0, -2, 0, 0, 2, 0, 2, -2, -2, 0, 2, -2, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, -2, -2, 2, 2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 2, 0, 0, -2, 2, 0, 0, 2, -2, -2, -2, 0, -2, 2, -2, 2, 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, 0, 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, 0, 0, 0, 2], 'schur_index': 1}
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id: 18071843
{'cdim': 1, 'counter': 9, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1i', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, 2, -2, 2, 2, 0, 0, -2, -2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 2, 0, 0, 2, -2, -2, 0, -2, 2, 0, -2, 0, 0, 2, -2, 2, 2, 0, 0, 0, 0, -2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, -2, -2, -2, -2, -2, 2, 2, -2, 0, 0, 0, 2, 0, -2, -2, 2, 0, 0, 2, -2, 0, -2, 2, 0, 0, -2, -2, 2, -2, 2, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0, -2, 0, 2, 0, -2, -2, -2, 0, 2, 0, 0, 0, 2, 0, 0, 2, -2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, -2, 0, 0, 2, -2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, -2, -2, -2, 2, 0, 0, 2, 0, 0, -2, 0, -2, 2, 2, 0, -2, 2, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, -2, -2, 2, 2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 2, 0, 0, -2, 2, 0, 0, 2, -2, -2, -2, 0, 2, -2, 2, -2, 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, 0, 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, 0, 0, 0, -2], 'schur_index': 1}
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id: 18071763
{'cdim': 1, 'counter': 10, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.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, -2, -2, -2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071764
{'cdim': 1, 'counter': 11, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071765
{'cdim': 1, 'counter': 12, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1l', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 18071766
{'cdim': 1, 'counter': 13, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1m', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 18071767
{'cdim': 1, 'counter': 14, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1n', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 18071792
{'cdim': 3, 'counter': 37, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.3a', 'multiplicity': 1, 'nt': [4, 4], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -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, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071793
{'cdim': 3, 'counter': 38, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.3b', 'multiplicity': 1, 'nt': [6, 6], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 3, 3, 3, 3, 0, 0, -3, -3, 3, 3, 3, -3, -3, -3, -3, 3, -3, -3, -3, -3, -3, 3, -3, -3, 3, -3, 3, -3, -3, 3, -1, -1, 1, -1, -1, 1, -1, 1, 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, 0, 0, 0, 0, 0, -3, -3, -3, 3, -3, 3, 3, 3, -3, -3, 3, 3, -3, 3, 3, -3, -3, 3, 3, 3, 3, 3, -3, 3, -3, 3, -3, -3, -3, 3, -3, -3, 1, -1, -1, -1, 1, -1, 1, -1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -3, -3, -3, -3, -3, -3, -3, -3, 3, -3, -3, -3, -3, -3, -3, -1, -1, 1, -1, -1, 1, 1, 1, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071794
{'cdim': 3, 'counter': 39, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.3c', 'multiplicity': 1, 'nt': [6, 6], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 3, 3, 3, 3, 0, 0, -3, -3, 3, 3, 3, -3, -3, -3, -3, 3, -3, -3, -3, -3, -3, 3, -3, -3, 3, -3, 3, -3, -3, 3, -1, -1, 1, -1, -1, 1, -1, 1, 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, 0, 0, 0, 0, 0, -3, -3, -3, 3, -3, 3, 3, 3, -3, -3, 3, 3, -3, 3, 3, -3, -3, 3, 3, 3, 3, 3, -3, 3, -3, 3, -3, -3, -3, 3, -3, -3, 1, -1, -1, -1, 1, -1, 1, -1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 3, 3, 3, 3, 3, 3, 3, 3, -3, 3, 3, 3, 3, 3, 3, 1, 1, -1, 1, 1, -1, -1, -1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071796
{'cdim': 3, 'counter': 40, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.3d', 'multiplicity': 1, 'nt': [6, 6], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -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, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, -1, -1, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071768
{'cdim': 1, 'counter': 15, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1o', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, -4, 4, 4, 0, 0, 4, 4, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, -4, 0, 0, -4, 4, -4, 0, -4, 4, 0, 4, 0, 0, -4, -4, 4, -4, 0, 0, 0, 0, 4, 0, -4, 4, 0, 4, 0, 0, -4, 0, 0, 0, 0, -4, 4, -4, -4, -4, 4, 4, -4, -4, 4, -4, 0, 4, 0, 0, 0, -4, 4, 0, 0, 4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 4, 0, -4, 0, 4, -4, 4, 0, -4, 4, -4, 0, 0, 0, -4, 0, -4, 0, -4, 0, 0, 0, -4, 0, 4, -4, 4, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, -4, 4, 0, 0, -4, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, -4, 4, 4, -4, 0, 0, 0, 0, 4, -4, 0, 0, 4, -4, -4, 4, 0, 0, -4, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071769
{'cdim': 1, 'counter': 16, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1p', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, -4, 4, 4, 0, 0, 4, 4, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, -4, 0, 0, -4, 4, -4, 0, -4, 4, 0, 4, 0, 0, -4, -4, 4, -4, 0, 0, 0, 0, 4, 0, -4, 4, 0, 4, 0, 0, -4, 0, 0, 0, 0, -4, 4, -4, -4, -4, 4, 4, -4, 4, -4, 4, 0, -4, 0, 0, 0, 4, -4, 0, 0, -4, 0, 0, 4, 4, 0, 0, 0, 0, 0, -4, 0, 4, 0, -4, 4, -4, 0, 4, -4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, -4, 4, -4, 0, -4, -4, 0, 0, 0, 0, -4, 0, -4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, -4, 4, 0, 0, -4, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 4, -4, -4, 4, 0, 0, 0, 0, -4, 4, 0, 0, -4, 4, 4, -4, 0, 0, 4, -4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071770
{'cdim': 1, 'counter': 17, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1q', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, 4, -4, 4, 4, -4, 4, -4, -4, -4, -4, -4, 4, 4, -4, 4, -4, -4, 4, -4, -4, 4, -4, 4, 4, 4, -4, -4, 4, -4, 4, 4, -4, -4, -4, 4, 4, -4, -4, -4, 4, -4, 4, -4, 4, -4, -4, 4, 4, 4, 4, -4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -4, -4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, 4, -4, -4, 4, -4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071771
{'cdim': 1, 'counter': 18, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1r', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, 4, -4, -4, -4, -4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, 4, -4, -4, -4, 4, 4, 4, 4, -4, -4, 4, -4, -4, 4, 4, -4, 4, 4, -4, -4, -4, 4, -4, 4, 4, 4, 4, -4, -4, 4, -4, -4, -4, 4, -4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 4, 4, -4, -4, 4, 4, -4, 4, -4, -4, -4, 4, -4, -4, -4, -4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071772
{'cdim': 1, 'counter': 19, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1s', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, -4, -2, -2, 0, 0, -4, -4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 4, 0, 0, 4, -4, -4, 0, -4, 4, 0, -4, 0, 0, 4, -4, 4, 4, 0, 0, 0, 0, -4, 0, 4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, -4, -4, 2, 2, 2, -2, -2, 2, 0, 0, 0, -4, 0, 4, 4, -4, 0, 0, -4, 4, 0, 4, -4, 0, 0, 4, 4, -4, 4, -4, 0, 4, 0, -4, 0, 0, 0, -4, 0, 0, 0, -4, 4, 4, 0, 4, 0, -4, 0, 4, 4, 4, 0, -4, 0, 0, 0, -4, 0, 0, -4, 4, -4, 4, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 2, 0, 0, -2, 2, 0, 0, -2, 2, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, -4, 4, -4, -4, 4, 0, -4, 4, 4, -4, 4, 4, 0, 0, -4, 0, 0, 4, 4, -4, 0, 4, -4, -4, 0, 0, 0, 0, -4, 4, 0, 4, -4, 0, -4, 0, 0, 0, 4, 0, 0, 4, 4, -4, 0, 0, -2, 2, 0, 0, 0, 0, -2, -2, 2, 2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 2, 0, 0, -2, 2, 0, 0, 2, -2, -2, -2, -2, 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, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 0, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 0], 'schur_index': 1}
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id: 18071774
{'cdim': 1, 'counter': 20, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1t', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, -4, -2, -2, 0, 0, -4, -4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 4, 0, 0, 4, -4, -4, 0, -4, 4, 0, -4, 0, 0, 4, -4, 4, 4, 0, 0, 0, 0, -4, 0, 4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, -4, -4, 2, 2, 2, -2, -2, 2, 0, 0, 0, -4, 0, 4, 4, -4, 0, 0, -4, 4, 0, 4, -4, 0, 0, 4, 4, -4, 4, -4, 0, 4, 0, -4, 0, 0, 0, -4, 0, 0, 0, -4, 4, 4, 0, 4, 0, -4, 0, 4, 4, 4, 0, -4, 0, 0, 0, -4, 0, 0, -4, 4, -4, 4, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 2, 0, 0, -2, 2, 0, 0, -2, 2, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, -4, 4, 4, -4, 0, 4, -4, -4, 4, -4, -4, 0, 0, 4, 0, 0, -4, -4, 4, 0, -4, 4, 4, 0, 0, 0, 0, 4, -4, 0, -4, 4, 0, 4, 0, 0, 0, -4, 0, 0, -4, -4, 4, 0, 0, -2, 2, 0, 0, 0, 0, -2, -2, 2, 2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 2, 0, 0, -2, 2, 0, 0, 2, -2, -2, -2, 2, 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, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 0, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 0], 'schur_index': 1}
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id: 18071775
{'cdim': 1, 'counter': 21, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1u', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, -4, -2, -2, 0, 0, -4, -4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 4, 0, 0, 4, -4, -4, 0, -4, 4, 0, -4, 0, 0, 4, -4, 4, 4, 0, 0, 0, 0, -4, 0, 4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, -4, -4, 2, 2, 2, -2, -2, 2, 0, 0, 0, 4, 0, -4, -4, 4, 0, 0, 4, -4, 0, -4, 4, 0, 0, -4, -4, 4, -4, 4, 0, -4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, -4, -4, 0, -4, 0, 4, 0, -4, -4, -4, 0, 4, 0, 0, 0, 4, 0, 0, 4, -4, 4, -4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 2, 0, 0, -2, 2, 0, 0, -2, 2, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, -4, 0, -4, 4, 0, 0, 0, 4, 0, 0, 0, 4, 4, 4, -4, 0, 0, -4, 0, 0, 4, 0, 4, -4, -4, 0, 4, -4, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 2, 2, -2, -2, 0, 0, -2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 2, -2, 0, 0, -2, 2, 2, 2, 0, 2, -2, 2, -2, 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, 0, 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, 0, 0, 0, -2], 'schur_index': 1}
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id: 18071776
{'cdim': 1, 'counter': 22, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1v', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, -4, -2, -2, 0, 0, -4, -4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 4, 0, 0, 4, -4, -4, 0, -4, 4, 0, -4, 0, 0, 4, -4, 4, 4, 0, 0, 0, 0, -4, 0, 4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, -4, -4, 2, 2, 2, -2, -2, 2, 0, 0, 0, 4, 0, -4, -4, 4, 0, 0, 4, -4, 0, -4, 4, 0, 0, -4, -4, 4, -4, 4, 0, -4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, -4, -4, 0, -4, 0, 4, 0, -4, -4, -4, 0, 4, 0, 0, 0, 4, 0, 0, 4, -4, 4, -4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 2, 0, 0, -2, 2, 0, 0, -2, 2, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, -4, 0, 0, 0, -4, 0, 0, 0, -4, -4, -4, 4, 0, 0, 4, 0, 0, -4, 0, -4, 4, 4, 0, -4, 4, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 2, 2, -2, -2, 0, 0, -2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 2, -2, 0, 0, -2, 2, 2, 2, 0, -2, 2, -2, 2, 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, 0, 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, 0, 0, 0, 2], 'schur_index': 1}
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id: 18071777
{'cdim': 1, 'counter': 23, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1w', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, -2, -2, -4, -4, 4, 4, 4, -4, -4, -4, -4, 4, -4, -4, -4, -4, -4, 4, -4, -4, 4, -4, 4, -4, -4, 4, 4, 4, -4, 4, 4, -4, 4, -4, -4, 4, 4, 4, 4, -4, -4, -4, -4, 4, -4, 4, 4, -4, 4, -4, -4, 4, -4, -4, -4, -4, 4, 4, -2, -2, -2, -2, -2, -2, 4, 4, 4, -4, 4, -4, -4, -4, 4, 4, -4, -4, 4, -4, -4, 4, 4, -4, -4, -4, -4, -4, 4, -4, 4, -4, 4, 4, 4, -4, 4, 4, 4, -4, -4, -4, 4, -4, 4, -4, 4, -4, -4, -4, 4, -4, 4, 4, 4, -4, 4, 4, -4, -4, -4, -4, 4, -4, 4, 4, 4, 4, 4, -4, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071778
{'cdim': 1, 'counter': 24, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1x', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, -2, -2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071797
{'cdim': 3, 'counter': 41, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.3e', 'multiplicity': 2, 'nt': [12, 29], 'qdim': 6, 'qvalues': [6, -6, -6, 6, 6, -6, 6, -6, 0, 0, 0, 0, -6, -6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -6, 0, 0, -6, 0, 6, 0, 0, 6, 2, 2, 0, 2, -2, 0, 2, 0, 0, -2, 2, -2, -2, 0, 0, 0, 0, 2, 0, -2, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 6, 6, -6, 0, 0, -6, 6, 0, 6, -6, 0, 0, 6, 6, -6, 6, -6, 0, 6, 0, -6, 0, 0, 0, -6, 0, 0, 0, 2, -2, -2, 0, -2, 0, 2, 0, -2, -2, -2, 0, 2, 0, 0, 0, 2, 0, 0, 2, -2, 2, -2, 0, 2, 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, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 6, -6, -6, 6, -6, -6, 6, 0, -6, 6, 6, -6, 6, 6, 0, 0, 2, 0, 0, -2, -2, 2, 0, -2, 2, 2, 0, 0, 0, 0, 2, -2, 0, -2, 2, 0, 2, 0, 0, 0, -2, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071798
{'cdim': 3, 'counter': 42, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.3f', 'multiplicity': 2, 'nt': [12, 29], 'qdim': 6, 'qvalues': [6, -6, -6, 6, 6, -6, 6, -6, 0, 0, 0, 0, -6, -6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -6, 0, 0, -6, 0, 6, 0, 0, 6, 2, 2, 0, 2, -2, 0, 2, 0, 0, -2, 2, -2, -2, 0, 0, 0, 0, 2, 0, -2, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 6, 6, -6, 0, 0, -6, 6, 0, 6, -6, 0, 0, 6, 6, -6, 6, -6, 0, 6, 0, -6, 0, 0, 0, -6, 0, 0, 0, 2, -2, -2, 0, -2, 0, 2, 0, -2, -2, -2, 0, 2, 0, 0, 0, 2, 0, 0, 2, -2, 2, -2, 0, 2, 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, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, 6, 6, -6, 6, 6, -6, 0, 6, -6, -6, 6, -6, -6, 0, 0, -2, 0, 0, 2, 2, -2, 0, 2, -2, -2, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, -2, 0, 0, 0, 2, 0, 0, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071799
{'cdim': 3, 'counter': 43, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.3g', 'multiplicity': 2, 'nt': [12, 29], 'qdim': 6, 'qvalues': [6, -6, -6, 6, 6, -6, 6, -6, 0, 0, 0, 0, -6, -6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -6, 0, 0, -6, 0, 6, 0, 0, 6, 2, 2, 0, 2, -2, 0, 2, 0, 0, -2, 2, -2, -2, 0, 0, 0, 0, 2, 0, -2, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -6, -6, 6, 0, 0, 6, -6, 0, -6, 6, 0, 0, -6, -6, 6, -6, 6, 0, -6, 0, 6, 0, 0, 0, 6, 0, 0, 0, -2, 2, 2, 0, 2, 0, -2, 0, 2, 2, 2, 0, -2, 0, 0, 0, -2, 0, 0, -2, 2, -2, 2, 0, -2, 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, -6, -6, -6, -6, -6, -6, -6, -6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, -2, -2, -2, 2, 0, 0, 2, 0, 0, -2, 0, -2, 2, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071800
{'cdim': 3, 'counter': 44, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.3h', 'multiplicity': 2, 'nt': [12, 29], 'qdim': 6, 'qvalues': [6, -6, -6, 6, 6, -6, 6, -6, 0, 0, 0, 0, -6, -6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -6, 0, 0, -6, 0, 6, 0, 0, 6, 2, 2, 0, 2, -2, 0, 2, 0, 0, -2, 2, -2, -2, 0, 0, 0, 0, 2, 0, -2, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -6, -6, 6, 0, 0, 6, -6, 0, -6, 6, 0, 0, -6, -6, 6, -6, 6, 0, -6, 0, 6, 0, 0, 0, 6, 0, 0, 0, -2, 2, 2, 0, 2, 0, -2, 0, 2, 2, 2, 0, -2, 0, 0, 0, -2, 0, 0, -2, 2, -2, 2, 0, -2, 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, 6, 6, 6, 6, 6, 6, 6, 6, -6, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, -2, 0, 0, -2, 0, 0, 2, 0, 2, -2, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071801
{'cdim': 3, 'counter': 45, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.3i', 'multiplicity': 2, 'nt': [12, 29], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, 6, 0, 0, -6, -6, 6, 6, 6, -6, -6, -6, -6, 6, -6, -6, -6, -6, -6, 6, -6, -6, 6, -6, 6, -6, -6, 6, -2, -2, 2, -2, -2, 2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 6, 6, 6, -6, 6, -6, -6, -6, 6, 6, -6, -6, 6, -6, -6, 6, 6, -6, -6, -6, -6, -6, 6, -6, 6, -6, 6, 6, 6, -6, 6, 6, -2, 2, 2, 2, -2, 2, -2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071802
{'cdim': 3, 'counter': 46, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.3j', 'multiplicity': 2, 'nt': [12, 29], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071812
{'cdim': 6, 'counter': 55, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6a', 'multiplicity': 1, 'nt': [12, 60], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -2, -2, -2, -2, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071813
{'cdim': 6, 'counter': 56, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6b', 'multiplicity': 1, 'nt': [12, 60], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -2, -2, -2, -2, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071814
{'cdim': 6, 'counter': 57, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6c', 'multiplicity': 1, 'nt': [12, 89], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -2, -2, -2, -2, 0, 0, -6, -6, 6, 6, 6, -6, -6, -6, -6, 6, -6, -6, 2, 2, 2, -2, 2, 2, -2, 2, -2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, -6, -6, -6, 6, -6, 6, 6, 6, -6, -6, 6, 6, -6, 6, 6, -6, 2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, 2, -2, 2, -2, -2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071815
{'cdim': 6, 'counter': 58, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6d', 'multiplicity': 1, 'nt': [12, 89], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -2, -2, -2, -2, 0, 0, -6, -6, 6, 6, 6, -6, -6, -6, -6, 6, -6, -6, 2, 2, 2, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, -6, -6, -6, 6, -6, 6, 6, 6, -6, -6, 6, 6, -6, 6, 6, -6, 2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071816
{'cdim': 6, 'counter': 59, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6e', 'multiplicity': 1, 'nt': [24, 311], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -2, -2, -2, -2, 0, 0, -6, -6, 6, 6, 6, -6, -6, -6, -6, 6, -6, -6, 2, 2, 2, -2, 2, 2, -2, 2, -2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 6, 6, 6, -6, 6, -6, -6, -6, 6, 6, -6, -6, 6, -6, -6, 6, -2, 2, 2, 2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
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id: 18071818
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id: 18071819
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id: 18071820
{'cdim': 6, 'counter': 62, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6h', 'multiplicity': 1, 'nt': [24, 311], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -2, -2, -2, -2, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
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id: 18071779
{'cdim': 1, 'counter': 25, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1y', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 8, -8, -8, 8, 8, 8, -8, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, -8, 8, 8, -8, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 8, 8, 8, -8, 0, 0, -8, 0, 0, -8, 8, 0, -8, 8, 0, 0, 0, 8, 0, -8, -8, 8, -8, 0, 0, 8, 0, 0, 0, -8, 0, -8, -8, 8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 8, 8, 0, 8, 0, 0, 0, -8, 0, 0, 0, 0, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071780
{'cdim': 1, 'counter': 26, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1z', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 8, -8, -8, 8, 8, 8, 8, -8, 0, 0, 0, 0, -8, 0, 0, 0, 0, 8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, -8, 8, -8, 0, 0, 8, 0, 0, -8, 8, 0, 8, -8, 0, 0, 0, -8, 0, -8, 8, 8, 8, 0, 0, -8, 0, 0, 0, -8, 0, -8, -8, 8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, -8, -8, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, -8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071781
{'cdim': 1, 'counter': 27, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1aa', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, 8, -8, -8, 8, 8, 0, 0, 0, 0, 0, -8, 0, 8, -8, 0, 8, 0, 0, 0, 0, 0, -8, 8, 0, 8, 0, 0, -8, 0, 0, -8, 0, -8, -8, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, -8, 0, 0, 0, -8, 0, 8, 0, -8, 0, 0, 8, -8, -8, 8, 0, 8, 8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 8, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071782
{'cdim': 1, 'counter': 28, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1ab', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, 8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 8, 0, -8, 8, 0, -8, 0, 0, 0, 0, 0, 8, -8, 0, -8, 0, 0, 8, 0, 0, -8, 0, -8, -8, -8, 0, 0, -8, 0, 8, 8, 0, 0, 0, -8, 8, 0, 0, 0, -8, 0, 8, 0, 8, 0, 0, -8, 8, 8, 8, 0, 8, 8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, -8, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, -8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071783
{'cdim': 1, 'counter': 29, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1ac', 'multiplicity': 8, 'nt': [24, 1], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 8, -8, 8, -8, -4, -4, 0, 0, 8, 8, -8, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, -8, 0, 0, -8, 8, -8, 0, -8, 8, 0, 8, 0, 0, -8, -8, 8, -8, 0, 0, 0, 0, 8, 0, -8, 8, 0, 8, 0, 0, -8, 0, 0, 0, 0, -8, 8, 4, 4, 4, -4, -4, 4, -8, 8, -8, 0, 8, 0, 0, 0, -8, 8, 0, 0, 8, 0, 0, -8, -8, 0, 0, 0, 0, 0, 8, 0, -8, 0, 8, -8, 8, 0, -8, 8, -8, 0, 0, 0, -8, 0, -8, 0, -8, 0, 0, 0, -8, 0, 8, -8, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 8, -8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 4, -4, 0, 0, 4, -4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 4, -4, -4, 4, 0, 0, 0, 0, -4, 4, 0, 0, -4, 4, 4, -4, 0, 0, 4, -4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071785
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id: 18071786
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id: 18071787
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id: 18071803
{'cdim': 3, 'counter': 47, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.3k', 'multiplicity': 4, 'nt': [24, 85], 'qdim': 12, 'qvalues': [12, -12, -12, 12, 12, -12, 12, -12, 0, 0, 0, 0, 12, 12, -12, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 12, 0, 0, 12, 0, -12, 0, 0, -12, -4, 4, 0, 4, -4, 0, -4, 0, 0, 4, 4, -4, 4, 0, 0, 0, 0, -4, 0, 4, -4, 0, -4, 0, 0, 4, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, -12, 12, -12, 0, 12, 0, 0, 0, -12, 12, 0, 0, 12, 0, 0, -12, -12, 0, 0, 0, 0, 0, 12, 0, -12, 0, 12, -12, 12, 0, -12, 12, 4, 0, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, -4, 4, -4, 0, -4, -4, 0, 0, 0, 0, -4, 0, -4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071804
{'cdim': 3, 'counter': 48, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.3l', 'multiplicity': 4, 'nt': [24, 85], 'qdim': 12, 'qvalues': [12, -12, -12, 12, 12, -12, 12, -12, 0, 0, 0, 0, 12, 12, -12, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 12, 0, 0, 12, 0, -12, 0, 0, -12, -4, 4, 0, 4, -4, 0, -4, 0, 0, 4, 4, -4, 4, 0, 0, 0, 0, -4, 0, 4, -4, 0, -4, 0, 0, 4, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 12, -12, 12, 0, -12, 0, 0, 0, 12, -12, 0, 0, -12, 0, 0, 12, 12, 0, 0, 0, 0, 0, -12, 0, 12, 0, -12, 12, -12, 0, 12, -12, -4, 0, 0, 0, -4, 0, -4, 0, -4, 0, 0, 0, -4, 0, 4, -4, 4, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071805
{'cdim': 3, 'counter': 49, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.3m', 'multiplicity': 4, 'nt': [24, 85], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 12, 12, 12, 0, 0, -12, -12, -12, -12, -12, 12, -12, 12, 12, -12, 12, -12, -12, -12, -12, -12, 12, 12, -12, 12, -12, -12, 12, -12, 4, -4, 4, -4, -4, -4, 4, 4, -4, 4, -4, -4, 4, 4, 4, -4, -4, 4, 4, 4, -4, 4, -4, 4, -4, 4, 4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071807
{'cdim': 3, 'counter': 50, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.3n', 'multiplicity': 4, 'nt': [24, 85], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 12, 12, 12, 0, 0, 12, 12, -12, -12, -12, -12, 12, -12, -12, -12, -12, 12, 12, 12, 12, -12, -12, -12, -12, -12, -12, 12, -12, -12, 4, -4, -4, -4, -4, 4, 4, -4, 4, 4, -4, -4, 4, -4, -4, 4, 4, 4, -4, 4, -4, -4, -4, -4, 4, 4, -4, 4, 4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071821
{'cdim': 6, 'counter': 63, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6i', 'multiplicity': 2, 'nt': [24, 790], 'qdim': 12, 'qvalues': [12, -12, -12, 12, -4, 4, -4, 4, 0, 0, 0, 0, -12, -12, 12, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, -4, 0, 0, -4, -4, 4, 0, -4, 4, 0, -4, 0, 0, -4, 4, -4, 4, 0, 0, 0, 0, 4, 0, 4, -4, 0, 4, 0, 0, -4, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 12, 12, -12, 0, 0, -12, 12, 0, 12, -12, 0, 0, -4, -4, 4, -4, 4, 0, -4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, -4, -4, 0, 4, 0, 4, 0, -4, 4, 4, 0, -4, 0, 0, 0, -4, 0, 0, 4, -4, -4, 4, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071822
{'cdim': 6, 'counter': 64, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6j', 'multiplicity': 2, 'nt': [24, 790], 'qdim': 12, 'qvalues': [12, -12, -12, 12, -4, 4, -4, 4, 0, 0, 0, 0, -12, -12, 12, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, -4, 0, 0, -4, -4, 4, 0, -4, 4, 0, -4, 0, 0, -4, 4, -4, 4, 0, 0, 0, 0, 4, 0, 4, -4, 0, 4, 0, 0, -4, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, -12, -12, 12, 0, 0, 12, -12, 0, -12, 12, 0, 0, 4, 4, -4, 4, -4, 0, 4, 0, -4, 0, 0, 0, -4, 0, 0, 0, -4, 4, 4, 0, -4, 0, -4, 0, 4, -4, -4, 0, 4, 0, 0, 0, 4, 0, 0, -4, 4, 4, -4, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071823
{'cdim': 6, 'counter': 65, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6k', 'multiplicity': 2, 'nt': [24, 790], 'qdim': 12, 'qvalues': [12, -12, -12, 12, -4, 4, -4, 4, 0, 0, 0, 0, -12, -12, 12, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, -4, 0, 0, -4, 4, -4, 0, 4, -4, 0, 4, 0, 0, 4, -4, 4, -4, 0, 0, 0, 0, -4, 0, -4, 4, 0, -4, 0, 0, 4, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 12, 12, -12, 0, 0, -12, 12, 0, 12, -12, 0, 0, -4, -4, 4, -4, 4, 0, -4, 0, 4, 0, 0, 0, 4, 0, 0, 0, -4, 4, 4, 0, -4, 0, -4, 0, 4, -4, -4, 0, 4, 0, 0, 0, 4, 0, 0, -4, 4, 4, -4, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071824
{'cdim': 6, 'counter': 66, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6l', 'multiplicity': 2, 'nt': [24, 790], 'qdim': 12, 'qvalues': [12, -12, -12, 12, -4, 4, -4, 4, 0, 0, 0, 0, -12, -12, 12, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, -4, 0, 0, -4, 4, -4, 0, 4, -4, 0, 4, 0, 0, 4, -4, 4, -4, 0, 0, 0, 0, -4, 0, -4, 4, 0, -4, 0, 0, 4, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, -12, -12, 12, 0, 0, 12, -12, 0, -12, 12, 0, 0, 4, 4, -4, 4, -4, 0, 4, 0, -4, 0, 0, 0, -4, 0, 0, 0, 4, -4, -4, 0, 4, 0, 4, 0, -4, 4, 4, 0, -4, 0, 0, 0, -4, 0, 0, 4, -4, -4, 4, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071825
{'cdim': 6, 'counter': 67, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6m', 'multiplicity': 2, 'nt': [24, 937], 'qdim': 12, 'qvalues': [12, -12, -12, 12, -4, 4, -4, 4, 0, 0, 0, 0, 12, 12, -12, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 4, 0, 0, 4, -4, -4, 0, 4, -4, 0, -4, 0, 0, -4, -4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, -4, 0, 0, -4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, -12, 12, -12, 0, 12, 0, 0, 0, -12, 12, 0, 0, 12, 0, 0, -12, 4, 0, 0, 0, 0, 0, -4, 0, 4, 0, -4, 4, -4, 0, 4, -4, -4, 0, 0, 0, 4, 0, -4, 0, -4, 0, 0, 0, 4, 0, -4, 4, -4, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071826
{'cdim': 6, 'counter': 68, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6n', 'multiplicity': 2, 'nt': [24, 937], 'qdim': 12, 'qvalues': [12, -12, -12, 12, -4, 4, -4, 4, 0, 0, 0, 0, 12, 12, -12, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 4, 0, 0, 4, -4, -4, 0, 4, -4, 0, -4, 0, 0, -4, -4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, -4, 0, 0, -4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 12, -12, 12, 0, -12, 0, 0, 0, 12, -12, 0, 0, -12, 0, 0, 12, -4, 0, 0, 0, 0, 0, 4, 0, -4, 0, 4, -4, 4, 0, -4, 4, 4, 0, 0, 0, -4, 0, 4, 0, 4, 0, 0, 0, -4, 0, 4, -4, 4, 0, -4, -4, 0, 0, 0, 0, -4, 0, -4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071827
{'cdim': 6, 'counter': 69, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6o', 'multiplicity': 2, 'nt': [24, 937], 'qdim': 12, 'qvalues': [12, -12, -12, 12, -4, 4, -4, 4, 0, 0, 0, 0, 12, 12, -12, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 4, 0, 0, 4, 4, 4, 0, -4, 4, 0, 4, 0, 0, 4, 4, -4, -4, 0, 0, 0, 0, -4, 0, -4, -4, 0, 4, 0, 0, 4, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, -12, 12, -12, 0, 12, 0, 0, 0, -12, 12, 0, 0, 12, 0, 0, -12, 4, 0, 0, 0, 0, 0, -4, 0, 4, 0, -4, 4, -4, 0, 4, -4, 4, 0, 0, 0, -4, 0, 4, 0, 4, 0, 0, 0, -4, 0, 4, -4, 4, 0, -4, -4, 0, 0, 0, 0, -4, 0, -4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071829
{'cdim': 6, 'counter': 70, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6p', 'multiplicity': 2, 'nt': [24, 937], 'qdim': 12, 'qvalues': [12, -12, -12, 12, -4, 4, -4, 4, 0, 0, 0, 0, 12, 12, -12, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 4, 0, 0, 4, 4, 4, 0, -4, 4, 0, 4, 0, 0, 4, 4, -4, -4, 0, 0, 0, 0, -4, 0, -4, -4, 0, 4, 0, 0, 4, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 12, -12, 12, 0, -12, 0, 0, 0, 12, -12, 0, 0, -12, 0, 0, 12, -4, 0, 0, 0, 0, 0, 4, 0, -4, 0, 4, -4, 4, 0, -4, 4, -4, 0, 0, 0, 4, 0, -4, 0, -4, 0, 0, 0, 4, 0, -4, 4, -4, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071830
{'cdim': 6, 'counter': 71, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6q', 'multiplicity': 2, 'nt': [24, 937], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -4, -4, -4, -4, 0, 0, -12, -12, -12, -12, -12, 12, -12, 12, 12, -12, 12, -12, 4, 4, 4, 4, -4, -4, 4, -4, 4, 4, -4, 4, -4, -4, 4, 4, 4, 4, -4, 4, -4, 4, -4, -4, -4, 4, 4, -4, -4, 4, -4, -4, -4, -4, 4, -4, 4, 4, -4, 4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071831
{'cdim': 6, 'counter': 72, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6r', 'multiplicity': 2, 'nt': [24, 937], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -4, -4, -4, -4, 0, 0, -12, -12, -12, -12, -12, 12, -12, 12, 12, -12, 12, -12, 4, 4, 4, 4, -4, -4, 4, -4, 4, 4, -4, 4, 4, 4, -4, -4, -4, -4, 4, -4, 4, -4, 4, 4, 4, -4, -4, 4, 4, -4, 4, 4, 4, 4, -4, 4, -4, -4, 4, -4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071832
{'cdim': 6, 'counter': 73, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6s', 'multiplicity': 2, 'nt': [24, 937], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -4, -4, -4, -4, 0, 0, 12, 12, -12, -12, -12, -12, 12, -12, -12, -12, -12, 12, -4, -4, -4, 4, 4, 4, 4, 4, 4, -4, 4, 4, -4, -4, -4, 4, 4, -4, -4, -4, 4, 4, -4, -4, -4, -4, -4, 4, 4, 4, 4, -4, -4, 4, 4, 4, -4, 4, 4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071833
{'cdim': 6, 'counter': 74, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6t', 'multiplicity': 2, 'nt': [24, 937], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -4, -4, -4, -4, 0, 0, 12, 12, -12, -12, -12, -12, 12, -12, -12, -12, -12, 12, -4, -4, -4, 4, 4, 4, 4, 4, 4, -4, 4, 4, 4, 4, 4, -4, -4, 4, 4, 4, -4, -4, 4, 4, 4, 4, 4, -4, -4, -4, -4, 4, 4, -4, -4, -4, 4, -4, -4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 18071788
{'cdim': 1, 'counter': 33, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1ag', 'multiplicity': 16, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 16, -16, -16, 16, -8, -8, -16, 16, 0, 0, 0, 0, 16, 0, 0, 0, 0, -16, 16, 16, -16, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 16, 16, 16, -16, 0, 0, -16, 0, 0, -16, 16, 0, -16, 16, 0, 0, 0, 16, 0, -16, -16, 16, -16, 0, 0, 16, 0, 0, 0, -16, 0, 8, 8, -8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, -8, -8, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, -8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071789
{'cdim': 1, 'counter': 34, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1ah', 'multiplicity': 16, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 16, -16, -16, 16, -8, -8, 16, -16, 0, 0, 0, 0, -16, 0, 0, 0, 0, 16, -16, -16, 16, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, -16, 16, -16, 0, 0, 16, 0, 0, -16, 16, 0, 16, -16, 0, 0, 0, -16, 0, -16, 16, 16, 16, 0, 0, -16, 0, 0, 0, -16, 0, 8, 8, -8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 8, 8, 0, 8, 0, 0, 0, -8, 0, 0, 0, 0, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071790
{'cdim': 1, 'counter': 35, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.1ai', 'multiplicity': 16, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, 16, 16, -16, -16, -8, -8, 0, 0, 0, 0, 0, -16, 0, 16, -16, 0, 16, 0, 0, 0, 0, 0, -16, 16, 0, 16, 0, 0, -16, 0, 0, -16, 0, -16, -16, 16, 0, 0, 16, 0, 16, 16, 0, 0, 0, 16, -16, 0, 0, 0, -16, 0, 16, 0, -16, 0, 0, 16, -16, -16, 16, 0, -8, -8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, -8, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, -8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071791
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id: 18071808
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id: 18071809
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id: 18071810
{'cdim': 3, 'counter': 53, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.3q', 'multiplicity': 8, 'nt': [48, 0], 'qdim': 24, 'qvalues': [24, 24, -24, -24, 24, 24, -24, -24, 0, 0, 0, 0, 0, 0, 0, -24, 0, 24, -24, 0, 24, 0, 0, 0, 0, 0, -24, 24, 0, 24, 0, 0, -24, 0, 0, 8, 0, 8, 8, -8, 0, 0, -8, 0, -8, -8, 0, 0, 0, -8, 8, 0, 0, 0, 8, 0, -8, 0, 8, 0, 0, -8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071811
{'cdim': 3, 'counter': 54, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.3r', 'multiplicity': 8, 'nt': [48, 0], 'qdim': 24, 'qvalues': [24, 24, -24, -24, 24, 24, -24, -24, 0, 0, 0, 0, 0, 0, 0, 24, 0, -24, 24, 0, -24, 0, 0, 0, 0, 0, 24, -24, 0, -24, 0, 0, 24, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0, -8, -8, 0, 0, 0, 8, -8, 0, 0, 0, 8, 0, -8, 0, -8, 0, 0, 8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071834
{'cdim': 6, 'counter': 75, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6u', 'multiplicity': 4, 'nt': [48, 0], 'qdim': 24, 'qvalues': [24, -24, 24, -24, -8, 8, 8, -8, 0, 0, -24, 24, 0, 0, 0, 0, 24, 0, 0, 0, 0, -24, -8, -8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -8, -8, 8, -8, 0, 0, 8, 0, 0, 8, -8, 0, 8, -8, 0, 0, 0, 8, 0, 8, -8, 8, -8, 0, 0, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071835
{'cdim': 6, 'counter': 76, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6v', 'multiplicity': 4, 'nt': [48, 0], 'qdim': 24, 'qvalues': [24, -24, 24, -24, -8, 8, 8, -8, 0, 0, -24, 24, 0, 0, 0, 0, 24, 0, 0, 0, 0, -24, -8, -8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, -8, 8, 0, 0, -8, 0, 0, -8, 8, 0, -8, 8, 0, 0, 0, -8, 0, -8, 8, -8, 8, 0, 0, -8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071836
{'cdim': 6, 'counter': 77, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6w', 'multiplicity': 4, 'nt': [48, 0], 'qdim': 24, 'qvalues': [24, -24, 24, -24, -8, 8, 8, -8, 0, 0, 24, -24, 0, 0, 0, 0, -24, 0, 0, 0, 0, 24, 8, 8, -8, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -8, 8, 8, -8, 0, 0, -8, 0, 0, 8, -8, 0, -8, 8, 0, 0, 0, -8, 0, 8, 8, 8, 8, 0, 0, -8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071837
{'cdim': 6, 'counter': 78, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6x', 'multiplicity': 4, 'nt': [48, 0], 'qdim': 24, 'qvalues': [24, -24, 24, -24, -8, 8, 8, -8, 0, 0, 24, -24, 0, 0, 0, 0, -24, 0, 0, 0, 0, 24, 8, 8, -8, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 8, -8, -8, 8, 0, 0, 8, 0, 0, -8, 8, 0, 8, -8, 0, 0, 0, 8, 0, -8, -8, -8, -8, 0, 0, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071838
{'cdim': 6, 'counter': 79, 'faithful': False, 'group': '3072.z', 'group_order': 3072, 'image': None, 'label': '3072.z.6y', 'multiplicity': 4, 'nt': [48, 0], 'qdim': 24, 'qvalues': [24, 24, -24, -24, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, -24, 0, 24, -24, 0, 24, 0, 0, 0, 0, 0, 8, -8, 0, -8, 0, 0, 8, 0, 0, -8, 0, 8, 8, -8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, -8, 0, 0, 0, -8, 0, -8, 0, 8, 0, 0, -8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 18071840
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id: 18071841
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id: 18071842
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gps_char • Show schema
Hide schema
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id: 39141148
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id: 39141448
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id: 39141449
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id: 39141455
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id: 39141456
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id: 39141458
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id: 39141459
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id: 39141460
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id: 39141461
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id: 39141462
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id: 39141463
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id: 39141464
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id: 39141465
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id: 39141466
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id: 39141467
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id: 39141150
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id: 39141151
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id: 39141152
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id: 39141153
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id: 39141154
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id: 39141155
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id: 39141156
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id: 39141157
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id: 39141158
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id: 39141159
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id: 39141161
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id: 39141162
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id: 39141163
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id: 39141164
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id: 39141165
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id: 39141166
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id: 39141169
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id: 39141172
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id: 39141173
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id: 39141174
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id: 39141175
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id: 39141176
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id: 39141177
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id: 39141178
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id: 39141179
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id: 39141180
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id: 39141181
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id: 39141191
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id: 39141192
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id: 39141194
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id: 39141195
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id: 39141196
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id: 39141197
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id: 39141198
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id: 39141183
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id: 39141184
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id: 39141185
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id: 39141186
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id: 39141187
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id: 39141188
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id: 39141189
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id: 39141190
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id: 39141199
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id: 39141209
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id: 39141210
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id: 39141211
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id: 39141212
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id: 39141213
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id: 39141214
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id: 39141216
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id: 39141200
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id: 39141201
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id: 39141202
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id: 39141203
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id: 39141205
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id: 39141206
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id: 39141207
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id: 39141208
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id: 39141217
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id: 39141227
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id: 39141228
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id: 39141229
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id: 39141230
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id: 39141231
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id: 39141232
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id: 39141233
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id: 39141218
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id: 39141219
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id: 39141220
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id: 39141221
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id: 39141222
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id: 39141223
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id: 39141224
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id: 39141225
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id: 39141234
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id: 39141244
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id: 39141245
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id: 39141247
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id: 39141250
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id: 39141251
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id: 39141235
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id: 39141236
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id: 39141238
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id: 39141239
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id: 39141240
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id: 39141241
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id: 39141242
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id: 39141259
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id: 39141370
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id: 39141402
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id: 39141413
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id: 39141424
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id: 39141435
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id: 39141446
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id: 39141457
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id: 39141149
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id: 39141160
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id: 39141171
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id: 39141182
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id: 39141193
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id: 39141204
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id: 39141215
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id: 39141226
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id: 39141237
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id: 39141248
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id: 39141260
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id: 39141271
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id: 39141282
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id: 39141293
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id: 39141304
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id: 39141315
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id: 39141326
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id: 39141337
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id: 39141348
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id: 39141359
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id: 39141371
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id: 39141382
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id: 39141393
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id: 39141395
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id: 39141396
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id: 39141397
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id: 39141398
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id: 39141399
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id: 39141400
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id: 39141401
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id: 39141403
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id: 39141404
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id: 39141405
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id: 39141406
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id: 39141407
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id: 39141408
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id: 39141409
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id: 39141410
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id: 39141411
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id: 39141412
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id: 39141414
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id: 39141415
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id: 39141416
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id: 39141417
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id: 39141418
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id: 39141419
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id: 39141420
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id: 39141421
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id: 39141422
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id: 39141423
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id: 39141425
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id: 39141426
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id: 39141427
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id: 39141428
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id: 39141429
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id: 39141430
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id: 39141431
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id: 39141432
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id: 39141433
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id: 39141434
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id: 39141436
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id: 39141437
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id: 39141438
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id: 39141439
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id: 39141440
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id: 39141441
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id: 39141442
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id: 39141443
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id: 39141444
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id: 39141445
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id: 39141447
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id: 39141252
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id: 39141253
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id: 39141254
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id: 39141255
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id: 39141256
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id: 39141257
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id: 39141258
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id: 39141261
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id: 39141262
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id: 39141263
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id: 39141264
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id: 39141265
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id: 39141268
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id: 39141270
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id: 39141272
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id: 39141273
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id: 39141274
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id: 39141275
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id: 39141276
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id: 39141277
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id: 39141278
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id: 39141279
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id: 39141280
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id: 39141281
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id: 39141283
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id: 39141284
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id: 39141285
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id: 39141286
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id: 39141287
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id: 39141288
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id: 39141289
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id: 39141290
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id: 39141291
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id: 39141292
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id: 39141294
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id: 39141295
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id: 39141296
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id: 39141298
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id: 39141299
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id: 39141300
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id: 39141301
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id: 39141302
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id: 39141303
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id: 39141305
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id: 39141306
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id: 39141307
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id: 39141308
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id: 39141309
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id: 39141310
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id: 39141311
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id: 39141312
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id: 39141313
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id: 39141314
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id: 39141316
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id: 39141317
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id: 39141318
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id: 39141319
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id: 39141320
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id: 39141321
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id: 39141322
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id: 39141323
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id: 39141386
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id: 39141387
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id: 39141388
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id: 39141390
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id: 39141391
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id: 39141392
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id: 39141394
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id: 39141324
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id: 39141325
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id: 39141327
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id: 39141328
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id: 39141329
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id: 39141330
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id: 39141331
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id: 39141332
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id: 39141333
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id: 39141334
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id: 39141335
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id: 39141336
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id: 39141338
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id: 39141339
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id: 39141341
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id: 39141342
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id: 39141343
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id: 39141345
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id: 39141346
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id: 39141347
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id: 39141352
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id: 39141354
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id: 39141355
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id: 39141356
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id: 39141358
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id: 39141360
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id: 39141361
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id: 39141362
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id: 39141363
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id: 39141364
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id: 39141365
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id: 39141369
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id: 39141377
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id: 39141378
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id: 39141379
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id: 39141383
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id: 39141384
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id: 39141385
{'center': '96.d1', 'center_index': 96, 'center_order': 32, 'counter': 312, 'cyclotomic_n': 8, 'dim': 6, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '3072.z', 'group_counter': 26, 'group_order': 3072, 'image': None, 'image_isoclass': '768.1083570', 'image_order': 768, 'indicator': 0, 'kernel': '768.a1', 'kernel_order': 4, 'label': '3072.z.6z4', 'nt': [48, 4], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[6, 2]], [[-6, 2]], [[6, 2]], [[-6, 2]], [[6, 2]], [[-6, 0]], [[6, 2]], [[6, 0]], [[-6, 0]], [[-6, 2]], [[6, 0]], [[-6, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 0]], [[-2, 0]], [[2, 2]], [[-2, 0]], [[2, 2]], [[-2, 2]], [[2, 0]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[-2, 2]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 2]], [[2, 2]], [[-2, 0]], [[-2, 2]], [[-2, 0]], [[-2, 0]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 0]], [[2, 0]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 0]], [[2, 2]], [[2, 0]], [[-2, 2]], [[-2, 0]], [[2, 2]], [[-2, 2]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 3]], [[-6, 3]], [[6, 1]], [[6, 1]], [[-6, 1]], [[-6, 1]], [[6, 1]], [[-6, 1]], [[-6, 1]], [[6, 3]], [[-6, 3]], [[6, 3]], [[6, 1]], [[-6, 3]], [[6, 3]], [[6, 3]], [[-2, 3]], [[2, 1]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 1]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[2, 1]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 268969647
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 3072, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '3072.z.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3072.z', 'subgroup_hash': 9138648193475773200, 'subgroup_order': 3072, 'subgroup_tex': 'C_4^3:C_{48}', 'supersolvable': False, 'sylow': 0}
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id: 268969758
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 1536, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408527613', 'subgroup_hash': 5162037355770003771, 'subgroup_order': 1536, 'subgroup_tex': 'C_4^3:C_{24}', 'supersolvable': False, 'sylow': 0}
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id: 268969869
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': True, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1536, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408528694', 'subgroup_hash': 8319253992749731620, 'subgroup_order': 1536, 'subgroup_tex': 'C_4^3.C_{24}', 'supersolvable': False, 'sylow': 0}
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id: 268969980
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 1024, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 2, 'label': '3072.z.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1024.blg', 'subgroup_hash': 6774086444423920628, 'subgroup_order': 1024, 'subgroup_tex': 'C_4^3:C_{16}', 'supersolvable': True, 'sylow': 2}
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id: 268970040
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 768, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '768.1083579', 'subgroup_hash': 1083579, 'subgroup_order': 768, 'subgroup_tex': 'C_4^3:C_{12}', 'supersolvable': False, 'sylow': 0}
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id: 268970051
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 768, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '768.1083796', 'subgroup_hash': 1083796, 'subgroup_order': 768, 'subgroup_tex': 'C_4^3.C_{12}', 'supersolvable': False, 'sylow': 0}
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id: 268970062
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 768, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '768.1083796', 'subgroup_hash': 1083796, 'subgroup_order': 768, 'subgroup_tex': 'C_4^3.C_{12}', 'supersolvable': False, 'sylow': 0}
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id: 268970073
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': True, 'centralizer_order': 32, 'characteristic': False, 'core_order': 768, 'counter': 8, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '3072.z.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '768.1083570', 'subgroup_hash': 1083570, 'subgroup_order': 768, 'subgroup_tex': 'C_4^2:C_{48}', 'supersolvable': False, 'sylow': 0}
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id: 268970084
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 256, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.4.e1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1084031', 'subgroup_hash': 1084031, 'subgroup_order': 768, 'subgroup_tex': 'C_4\\times A_4\\times C_{16}', 'supersolvable': False, 'sylow': 0}
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id: 268969648
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 512, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '512.260300', 'subgroup_hash': 4932659687717006990, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969659
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 512, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '512.401335', 'subgroup_hash': 2703178485191297516, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3.C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969670
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 256, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400285', 'subgroup_hash': 5024799528518823867, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3.C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969681
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 128, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.400285', 'subgroup_hash': 5024799528518823867, 'subgroup_order': 512, 'subgroup_tex': 'C_4^3.C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969692
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 128, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.6.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.54138', 'subgroup_hash': 4386638461270703352, 'subgroup_order': 512, 'subgroup_tex': '(C_2\\times C_4^2):C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969703
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 384, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.5734', 'subgroup_hash': 5734, 'subgroup_order': 384, 'subgroup_tex': 'C_4^3:C_6', 'supersolvable': False, 'sylow': 0}
-
id: 268969714
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 384, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.5734', 'subgroup_hash': 5734, 'subgroup_order': 384, 'subgroup_tex': 'C_4^3:C_6', 'supersolvable': False, 'sylow': 0}
-
id: 268969725
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 384, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.596', 'subgroup_hash': 596, 'subgroup_order': 384, 'subgroup_tex': 'C_4^2:C_{24}', 'supersolvable': False, 'sylow': 0}
-
id: 268969736
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 384, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.596', 'subgroup_hash': 596, 'subgroup_order': 384, 'subgroup_tex': 'C_4^2:C_{24}', 'supersolvable': False, 'sylow': 0}
-
id: 268969747
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '384.5799', 'subgroup_hash': 5799, 'subgroup_order': 384, 'subgroup_tex': 'C_4\\times C_8\\times A_4', 'supersolvable': False, 'sylow': 0}
-
id: 268969759
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.5849', 'subgroup_hash': 5849, 'subgroup_order': 384, 'subgroup_tex': 'C_2^3:C_{48}', 'supersolvable': False, 'sylow': 0}
-
id: 268969770
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 256, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '256.6732', 'subgroup_hash': 6732, 'subgroup_order': 256, 'subgroup_tex': 'C_4^4', 'supersolvable': True, 'sylow': 0}
-
id: 268969781
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 256, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '256.26308', 'subgroup_hash': 26308, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969792
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 256, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969803
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 256, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969814
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 256, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '256.5886', 'subgroup_hash': 5886, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969825
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5640', 'subgroup_hash': 5640, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969836
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5640', 'subgroup_hash': 5640, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969847
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.12.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5640', 'subgroup_hash': 5640, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969858
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.12.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5640', 'subgroup_hash': 5640, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969870
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 128, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.12.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969881
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 64, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.12.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969892
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 128, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.12.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26308', 'subgroup_hash': 26308, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969903
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 64, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.12.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969914
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 64, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.12.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.13313', 'subgroup_hash': 13313, 'subgroup_order': 256, 'subgroup_tex': 'C_2\\times C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969925
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 128, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.12.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26382', 'subgroup_hash': 26382, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.\\OD_{32}', 'supersolvable': True, 'sylow': 0}
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id: 268969936
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 64, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.12.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.26382', 'subgroup_hash': 26382, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.\\OD_{32}', 'supersolvable': True, 'sylow': 0}
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id: 268969947
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 128, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.12.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5531', 'subgroup_hash': 5531, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.\\OD_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 268969958
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 64, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.12.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5531', 'subgroup_hash': 5531, 'subgroup_order': 256, 'subgroup_tex': 'C_2^3.\\OD_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 268969969
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 64, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.12.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.5886', 'subgroup_hash': 5886, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 268969981
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 192, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.188', 'subgroup_hash': 188, 'subgroup_order': 192, 'subgroup_tex': 'C_4\\wr C_3', 'supersolvable': False, 'sylow': 0}
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id: 268969992
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 192, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.992', 'subgroup_hash': 992, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4.A_4', 'supersolvable': False, 'sylow': 0}
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id: 268970003
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 192, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.188', 'subgroup_hash': 188, 'subgroup_order': 192, 'subgroup_tex': 'C_4\\wr C_3', 'supersolvable': False, 'sylow': 0}
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id: 268970014
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 192, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.188', 'subgroup_hash': 188, 'subgroup_order': 192, 'subgroup_tex': 'C_4\\wr C_3', 'supersolvable': False, 'sylow': 0}
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id: 268970025
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '192.993', 'subgroup_hash': 993, 'subgroup_order': 192, 'subgroup_tex': 'A_4\\times C_4^2', 'supersolvable': False, 'sylow': 0}
-
id: 268970035
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1010', 'subgroup_hash': 1010, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3:C_{24}', 'supersolvable': False, 'sylow': 0}
-
id: 268970036
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1010', 'subgroup_hash': 1010, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3:C_{24}', 'supersolvable': False, 'sylow': 0}
-
id: 268970037
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 32, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.151', 'subgroup_hash': 151, 'subgroup_order': 192, 'subgroup_tex': 'C_4\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 268970038
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.16.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.203', 'subgroup_hash': 203, 'subgroup_order': 192, 'subgroup_tex': 'A_4\\times C_{16}', 'supersolvable': False, 'sylow': 0}
-
id: 268970039
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 128, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.1601', 'subgroup_hash': 1601, 'subgroup_order': 128, 'subgroup_tex': 'C_2^2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970041
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 128, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.997', 'subgroup_hash': 997, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 268970042
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 128, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.2136', 'subgroup_hash': 2136, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268970043
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 128, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.997', 'subgroup_hash': 997, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 268970044
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 128, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268970045
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 128, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268970046
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268970047
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268970048
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 32, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.837', 'subgroup_hash': 837, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 268970049
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 32, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.837', 'subgroup_hash': 837, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 268970050
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 32, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.j2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.837', 'subgroup_hash': 837, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 268970052
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268970053
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268970054
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 16, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.837', 'subgroup_hash': 837, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 268970055
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 16, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.837', 'subgroup_hash': 837, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 268970056
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 16, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.n2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.n2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.837', 'subgroup_hash': 837, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 268970057
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.881', 'subgroup_hash': 881, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2.C_8', 'supersolvable': True, 'sylow': 0}
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id: 268970058
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.881', 'subgroup_hash': 881, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970059
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.106', 'subgroup_hash': 106, 'subgroup_order': 128, 'subgroup_tex': 'C_2^2.\\OD_{32}', 'supersolvable': True, 'sylow': 0}
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id: 268970060
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.106', 'subgroup_hash': 106, 'subgroup_order': 128, 'subgroup_tex': 'C_2^2.\\OD_{32}', 'supersolvable': True, 'sylow': 0}
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id: 268970061
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970063
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 64, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.997', 'subgroup_hash': 997, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 268970064
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 64, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1601', 'subgroup_hash': 1601, 'subgroup_order': 128, 'subgroup_tex': 'C_2^2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970065
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.997', 'subgroup_hash': 997, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 268970066
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 64, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1601', 'subgroup_hash': 1601, 'subgroup_order': 128, 'subgroup_tex': 'C_2^2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970067
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 64, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1601', 'subgroup_hash': 1601, 'subgroup_order': 128, 'subgroup_tex': 'C_2^2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970068
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1601', 'subgroup_hash': 1601, 'subgroup_order': 128, 'subgroup_tex': 'C_2^2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970069
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1601', 'subgroup_hash': 1601, 'subgroup_order': 128, 'subgroup_tex': 'C_2^2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970070
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 64, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1601', 'subgroup_hash': 1601, 'subgroup_order': 128, 'subgroup_tex': 'C_2^2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970071
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 64, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1601', 'subgroup_hash': 1601, 'subgroup_order': 128, 'subgroup_tex': 'C_2^2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970072
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1601', 'subgroup_hash': 1601, 'subgroup_order': 128, 'subgroup_tex': 'C_2^2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970074
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 64, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2136', 'subgroup_hash': 2136, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268970075
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.997', 'subgroup_hash': 997, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 268970076
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970077
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.881', 'subgroup_hash': 881, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970078
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.881', 'subgroup_hash': 881, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970079
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970080
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970081
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 64, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.881', 'subgroup_hash': 881, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970082
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.881', 'subgroup_hash': 881, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970083
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 64, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.881', 'subgroup_hash': 881, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970085
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.881', 'subgroup_hash': 881, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2.C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970086
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.24.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.456', 'subgroup_hash': 456, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268970087
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 96, 'counter': 92, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.68', 'subgroup_hash': 68, 'subgroup_order': 96, 'subgroup_tex': 'C_4^2:C_6', 'supersolvable': False, 'sylow': 0}
-
id: 268970088
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 96, 'counter': 93, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.3', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.68', 'subgroup_hash': 68, 'subgroup_order': 96, 'subgroup_tex': 'C_4^2:C_6', 'supersolvable': False, 'sylow': 0}
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id: 268970089
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 32, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.196', 'subgroup_hash': 196, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': False, 'sylow': 0}
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id: 268970090
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 32, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '96.196', 'subgroup_hash': 196, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': False, 'sylow': 0}
-
id: 268970091
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 32, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.32.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 268970092
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 16, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.32.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 268970093
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 32, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.32.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '96.73', 'subgroup_hash': 73, 'subgroup_order': 96, 'subgroup_tex': 'C_8\\times A_4', 'supersolvable': False, 'sylow': 0}
-
id: 268970094
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 32, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.32.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '96.73', 'subgroup_hash': 73, 'subgroup_order': 96, 'subgroup_tex': 'C_8\\times A_4', 'supersolvable': False, 'sylow': 0}
-
id: 268969649
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 64, 'counter': 100, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 268969650
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 64, 'counter': 101, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.31', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969651
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 64, 'counter': 102, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2\\times A_4', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969652
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 64, 'counter': 103, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.48.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.31', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969653
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 64, 'counter': 104, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.48.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969654
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 64, 'counter': 105, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.48.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 268969655
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 64, 'counter': 106, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.48.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.31', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.183', 'subgroup_hash': 183, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969656
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 64, 'counter': 107, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.48.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 268969657
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 268969658
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 268969660
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 268969661
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 32, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969662
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 16, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969663
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969664
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 268969665
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 16, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969666
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 16, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969667
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969668
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969669
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969671
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969672
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969673
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969674
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969675
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969676
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969677
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 16, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.183', 'subgroup_hash': 183, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969678
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 16, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.183', 'subgroup_hash': 183, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969679
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 16, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bb2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bb2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.183', 'subgroup_hash': 183, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969680
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 268969682
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969683
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969684
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969685
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969686
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969687
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969688
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969689
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969690
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969691
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969693
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969694
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969695
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969696
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 32, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.26', 'subgroup_hash': 26, 'subgroup_order': 64, 'subgroup_tex': 'C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969697
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 32, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.26', 'subgroup_hash': 26, 'subgroup_order': 64, 'subgroup_tex': 'C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969698
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 16, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.26', 'subgroup_hash': 26, 'subgroup_order': 64, 'subgroup_tex': 'C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969699
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 16, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.26', 'subgroup_hash': 26, 'subgroup_order': 64, 'subgroup_tex': 'C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969700
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 16, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bt2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bt2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.26', 'subgroup_hash': 26, 'subgroup_order': 64, 'subgroup_tex': 'C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969701
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 268969702
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969704
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969705
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969706
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969707
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.183', 'subgroup_hash': 183, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969708
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.183', 'subgroup_hash': 183, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969709
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.ca2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ca2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.183', 'subgroup_hash': 183, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969710
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 268969711
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969712
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969713
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969715
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969716
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.44', 'subgroup_hash': 44, 'subgroup_order': 64, 'subgroup_tex': 'C_4:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969717
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.44', 'subgroup_hash': 44, 'subgroup_order': 64, 'subgroup_tex': 'C_4:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969718
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.44', 'subgroup_hash': 44, 'subgroup_order': 64, 'subgroup_tex': 'C_4:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969719
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.44', 'subgroup_hash': 44, 'subgroup_order': 64, 'subgroup_tex': 'C_4:C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969720
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 268969721
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969722
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969723
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969724
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969726
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 32, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.183', 'subgroup_hash': 183, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 268969727
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
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id: 268969728
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969729
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969730
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969731
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.48.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969732
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 48, 'counter': 176, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.26', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 26, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.3', 'subgroup_hash': 3, 'subgroup_order': 48, 'subgroup_tex': 'C_4^2:C_3', 'supersolvable': False, 'sylow': 0}
-
id: 268969733
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.64.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.31', 'subgroup_hash': 31, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times A_4', 'supersolvable': False, 'sylow': 0}
-
id: 268969734
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.64.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
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id: 268969735
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 16, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.64.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 268969737
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 16, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.64.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 268969738
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 16, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.64.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 268969739
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.64.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.31', 'subgroup_hash': 31, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times A_4', 'supersolvable': False, 'sylow': 0}
-
id: 268969740
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.64.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.31', 'subgroup_hash': 31, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times A_4', 'supersolvable': False, 'sylow': 0}
-
id: 268969741
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 184, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.64.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 268969742
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 32, 'counter': 185, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.59', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 59, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969743
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 32, 'counter': 186, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.96.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.196', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 196, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:C_{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}
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id: 268969744
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 32, 'counter': 187, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.96.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.73', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 73, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8\\times A_4', '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}
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id: 268969745
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 3072, 'characteristic': True, 'core_order': 32, 'counter': 188, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.96.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.72', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 72, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2:C_6', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969746
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 32, 'counter': 189, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.96.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.196', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 196, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969748
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 32, 'counter': 190, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.96.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.73', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 73, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_8\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969749
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 32, 'counter': 191, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.96.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.46', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969750
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969751
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969752
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969753
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969754
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969755
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969756
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969757
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969760
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969761
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969762
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 16, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969763
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969764
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969765
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969766
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 16, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969767
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 16, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969768
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969769
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969771
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969772
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969773
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969774
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969775
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969776
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969777
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969778
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969779
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969780
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969782
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969783
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 268969784
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 268969785
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 268969786
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 16, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969787
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 16, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969788
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 16, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969789
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969790
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 16, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 268969791
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 16, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 268969793
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969794
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969795
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969796
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969797
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969798
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969799
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969800
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969801
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969802
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969804
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969805
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969806
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969807
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969808
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969809
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969810
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969811
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969812
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 268969813
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969815
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cm2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cm2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969816
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969817
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969818
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969819
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969820
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969821
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969822
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969823
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969824
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969826
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969827
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969828
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969829
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.cz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969830
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 16, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.da1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969831
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.db1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969832
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.dc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969833
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.dd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969834
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.de1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969835
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.df1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969837
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.dg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969838
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.dh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 268969839
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.di1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969840
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.di2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.di2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969841
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.dj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969842
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.dk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969843
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.96.dl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969844
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.128.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
-
id: 268969845
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.128.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 268969846
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.128.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 268969848
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.128.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '128.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
-
id: 268969849
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 281, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.128.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 268969850
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 282, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.128.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 268969851
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 16, 'counter': 283, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.192.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.203', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 203, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4\\times C_{16}', '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}
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id: 268969852
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 16, 'counter': 284, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.192.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1010', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1010, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:C_{24}', 'simple': False, 'solvable': True, 'special_labels': ['S'], '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}
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id: 268969853
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 3072, 'characteristic': True, 'core_order': 16, 'counter': 285, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.192.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.193', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 193, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969854
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 3072, 'characteristic': True, 'core_order': 16, 'counter': 286, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.192.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1002', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1002, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4.A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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}
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id: 268969855
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 3072, 'characteristic': True, 'core_order': 16, 'counter': 287, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.192.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.193', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 193, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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: 268969856
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 16, 'counter': 288, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.192.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.993', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 993, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4\\times C_4^2', '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: 268969857
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 16, 'counter': 289, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.192.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1010', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1010, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:C_{24}', '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}
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id: 268969859
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 16, 'counter': 290, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.192.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.151', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 151, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969860
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969861
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969862
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969863
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969864
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969865
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 268969866
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 268969867
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.o2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.o2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 268969868
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 268969871
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969872
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969873
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969874
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969875
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969876
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969877
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969878
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969879
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969880
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969882
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969883
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969884
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969885
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969886
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969887
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969888
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969889
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969890
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969891
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969893
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969894
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969895
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969896
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969897
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969898
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969899
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969900
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969901
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969902
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969904
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969905
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969906
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969907
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969908
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969909
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969910
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969911
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 268969912
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969913
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969915
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969916
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969917
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969918
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 8, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 268969919
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969920
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969921
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969922
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969923
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969924
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969926
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969927
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969928
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969929
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 268969930
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969931
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 8, 'counter': 355, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.192.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969932
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 356, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.192.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 268969933
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969934
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969935
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969937
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969938
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.cz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969939
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.da1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969940
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.db1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969941
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.dc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969942
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.192.dd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 268969943
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 366, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.256.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, 'quotient_simple': 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}
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id: 268969944
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.256.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, 'quotient_simple': 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}
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id: 268969945
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 368, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.256.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, 'quotient_simple': 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}
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id: 268969946
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 4, 'counter': 369, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.256.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, 'quotient_simple': 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}
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id: 268969948
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.256.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '256.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
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id: 268969949
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 8, 'counter': 371, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.384.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.5849', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5849, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:C_{48}', '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}
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id: 268969950
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 3072, 'characteristic': True, 'core_order': 8, 'counter': 372, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.384.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.5746', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5746, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times C_4^2:C_{12}', '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}
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id: 268969951
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 3072, 'characteristic': False, 'core_order': 8, 'counter': 373, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.384.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.606', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 606, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2:C_{24}', '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}
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id: 268969952
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 8, 'counter': 374, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.384.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.5799', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5799, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4\\times C_8\\times A_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}
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id: 268969953
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 3072, 'characteristic': False, 'core_order': 8, 'counter': 375, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '3072.z.384.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.5749', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5749, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^3:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969954
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 3072, 'characteristic': False, 'core_order': 8, 'counter': 376, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '3072.z.384.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.606', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 606, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2:C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 268969955
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969956
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 2, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969957
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969959
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969960
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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}
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id: 268969961
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 2, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969962
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969963
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 2, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969964
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969965
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969966
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969967
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969968
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969970
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 2, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969971
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969972
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969973
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 2, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969974
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 2, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969975
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969976
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969977
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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}
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id: 268969978
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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}
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id: 268969979
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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}
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id: 268969982
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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}
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id: 268969983
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 2, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969984
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969985
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 403, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.384.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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}
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id: 268969986
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 4, 'counter': 404, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.384.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969987
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 405, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.384.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969988
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 406, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.384.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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}
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id: 268969989
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969990
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969991
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969993
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969994
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969995
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969996
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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: 268969997
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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}
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id: 268969998
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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}
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id: 268969999
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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}
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id: 268970000
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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}
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id: 268970001
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.384.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, 'quotient_simple': 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}
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id: 268970002
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 419, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.512.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '512.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 512, 'quotient_simple': 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}
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id: 268970004
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 2, 'counter': 420, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.512.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '512.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 512, 'quotient_simple': 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}
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id: 268970005
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 3072, 'characteristic': False, 'core_order': 4, 'counter': 421, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '3072.z.768.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1083570', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1083570, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^2:C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 268970006
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 3072, 'characteristic': True, 'core_order': 4, 'counter': 422, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.768.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1083848', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1083848, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^3.C_{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}
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id: 268970007
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 3072, 'characteristic': True, 'core_order': 4, 'counter': 423, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '3072.z.768.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1083588', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1083588, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4.C_2^4.C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 268970008
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 3072, 'characteristic': True, 'core_order': 4, 'counter': 424, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '3072.z.768.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1083848', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1083848, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^3.C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 268970009
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': True, 'core_order': 4, 'counter': 425, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '3072.z.768.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '768.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.1084031', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1084031, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4\\times A_4\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': ['C8'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 268970010
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 2, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.768.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 268970011
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 2, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.768.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 268970012
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 2, 'counter': 428, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.768.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 268970013
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 2, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.768.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 268970015
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 2, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.768.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 268970016
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 2, 'counter': 431, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.768.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 268970017
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 2, 'counter': 432, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.768.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 268970018
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 1, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.768.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 268970019
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 1, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.768.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 268970020
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 435, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.768.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 268970021
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 436, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.768.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 268970022
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 437, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.768.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 268970023
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 438, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.768.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 268970024
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 1, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '3072.z.768.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 268970026
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 440, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.768.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 268970027
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 441, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.768.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '768.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 268970028
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 442, 'cyclic': True, 'direct': None, 'hall': 3, 'label': '3072.z.1024.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1024.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1024, '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': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
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id: 268970029
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 3072, 'characteristic': False, 'core_order': 2, 'counter': 443, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '3072.z.1536.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '1536.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408528694', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8319253992749731620, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^3.C_{24}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 268970030
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 3072, 'characteristic': True, 'core_order': 2, 'counter': 444, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '3072.z.1536.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '1536.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1536.408527673', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2083624510382803549, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^3:C_{24}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 268970031
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 1, 'counter': 445, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.1536.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1536.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1536, '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: 268970032
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 1, 'counter': 446, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.1536.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1536.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1536, '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: 268970033
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': False, 'central_factor': False, 'centralizer_order': 1024, 'characteristic': False, 'core_order': 1, 'counter': 447, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '3072.z.1536.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1536.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1536, '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: 268970034
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '3072.z', 'ambient_counter': 26, 'ambient_order': 3072, 'ambient_tex': 'C_4^3:C_{48}', 'central': True, 'central_factor': False, 'centralizer_order': 3072, 'characteristic': True, 'core_order': 1, 'counter': 448, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '3072.z.3072.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3072.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '3072.z', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9138648193475773200, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 3072, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_4^3:C_{48}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', '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: 268969647
{'ambient': '3072.z', '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': '96.d1', 'complements': ['3072.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '3.a1', '4.e1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [633821, 41217, 49681, 819225, 557585, 516359, 688149, 835849, 557073, 49665, 925347], 'label': '3072.z.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '3.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
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id: 268969648
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1536.230838782', 'aut_weyl_index': 64, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.c1', '12.d1', '12.j1', '12.k1', '12.m1', '12.n1'], 'core': '6.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [516359, 688149, 319513, 581905], 'label': '3072.z.6.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.a1', '12.c1', '12.d1', '24.a1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '96.72', 'quotient_action_image': '6.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
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id: 268969649
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '48.43', 'aut_weyl_index': 2048, 'centralizer': '6.a1', 'complements': ['64.i1'], 'conjugacy_class_count': 4, 'contained_in': ['16.a1', '24.d1'], 'contains': ['96.a1', '96.m1', '96.o1'], 'core': '48.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [516359, 319513, 581905], 'label': '3072.z.48.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.d1'], 'normal_contains': ['96.a1', '192.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '768.1083570', 'quotient_action_image': '6.2', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
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id: 268969650
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '48.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1024, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1', '24.a1', '24.t1', '24.u1'], 'contains': ['96.b1', '96.c1', '96.r1', '96.s1', '96.bd1'], 'core': '48.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [516359, 819225, 573457, 49665], 'label': '3072.z.48.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': ['12.a1', '24.a1'], 'normal_contains': ['96.b1', '96.c1', '192.c1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': '192.193', 'quotient_action_image': '3.1', 'quotient_action_kernel': '16.10', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 268969651
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '48.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1024, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.f1', '24.a1', '24.c1', '24.w1', '24.ba1', '24.bd1'], 'contains': ['96.b1', '96.e1', '96.v1', '96.x1', '96.bx1'], 'core': '48.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [688149, 49681, 573457, 49665], 'label': '3072.z.48.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': ['12.c1', '24.a1', '24.c1'], 'normal_contains': ['96.b1', '96.e1', '192.d1'], 'normalizer': '1.a1', 'old_label': '48.c1', 'projective_image': '192.1002', 'quotient_action_image': '3.1', 'quotient_action_kernel': '16.14', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 268969652
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '48.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1024, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.g1', '24.a1', '24.x1', '24.bb1'], 'contains': ['96.b1', '96.f1', '96.w1', '96.y1', '96.cc1'], 'core': '48.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [909587, 819225, 573457, 49665], 'label': '3072.z.48.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': ['12.d1', '24.a1'], 'normal_contains': ['96.b1', '96.f1', '192.e1'], 'normalizer': '1.a1', 'old_label': '48.d1', 'projective_image': '192.193', 'quotient_action_image': '3.1', 'quotient_action_kernel': '16.10', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 268969653
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '48.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.43', 'aut_weyl_index': 2048, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '24.b1', '24.d1'], 'contains': ['96.a1', '96.g1', '96.p1', '96.bk1', '96.db1'], 'core': '48.e1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [49681, 557073, 319513, 581905], 'label': '3072.z.48.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': ['16.b1', '24.b1', '24.d1'], 'normal_contains': ['96.a1', '96.g1', '192.b1'], 'normalizer': '1.a1', 'old_label': '48.e1', 'projective_image': '768.1083848', 'quotient_action_image': '6.2', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '48.e1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
-
id: 268969654
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '48.f1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '48.43', 'aut_weyl_index': 2048, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '24.b1', '24.e1'], 'contains': ['96.g1', '96.cv1', '96.dc1'], 'core': '48.f1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [819225, 319513, 581905], 'label': '3072.z.48.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1', 'normal_contained_in': ['16.c1', '24.b1', '24.e1'], 'normal_contains': ['96.g1', '192.f1'], 'normalizer': '1.a1', 'old_label': '48.f1', 'projective_image': '768.1083588', 'quotient_action_image': '6.2', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '48.f1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
-
id: 268969655
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '48.g1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '192.1469', 'aut_weyl_index': 512, 'centralizer': '12.b1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.i1', '24.c1', '24.bk1', '24.bm1'], 'contains': ['96.e1', '96.cl1'], 'core': '48.g1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [633821, 573457, 49665], 'label': '3072.z.48.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1', 'normal_contained_in': ['12.e1', '24.c1'], 'normal_contains': ['96.e1'], 'normalizer': '1.a1', 'old_label': '48.g1', 'projective_image': '384.5749', 'quotient_action_image': '12.3', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '48.g1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
-
id: 268969656
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '48.h1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.43', 'aut_weyl_index': 2048, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '24.b1', '24.f1'], 'contains': ['96.g1', '96.cy1', '96.dd1'], 'core': '48.h1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [836105, 319513, 581905], 'label': '3072.z.48.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1', 'normal_contained_in': ['16.d1', '24.b1', '24.f1'], 'normal_contains': ['96.g1', '192.g1'], 'normalizer': '1.a1', 'old_label': '48.h1', 'projective_image': '768.1083848', 'quotient_action_image': '6.2', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '48.h1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
-
id: 268969657
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.be1'], 'contains': ['96.h1', '96.i1', '96.j1', '96.k1', '96.l1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1015831, 319753, 319513], 'label': '3072.z.48.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.i1', 'projective_image': '768.1083570', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969658
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.d1'], 'contains': ['96.m1', '96.n1', '96.o1', '96.p1', '96.q1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1015831, 57601, 319513], 'label': '3072.z.48.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.j1', 'projective_image': '768.1083570', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969659
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 32, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.c1', '12.e1', '12.o1', '12.p1', '12.s1'], 'core': '6.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [633821, 49681, 319513, 581905], 'label': '3072.z.6.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': ['2.b1', '3.a1'], 'normal_contains': ['12.c1', '12.e1', '24.c1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
-
id: 268969660
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.g1', '24.h1', '24.t1'], 'contains': ['96.r1', '96.t1', '96.u1', '96.bb1', '96.bc1'], 'core': '192.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [516359, 819225, 319513], 'label': '3072.z.48.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.k1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969661
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '48.l1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '24.g1', '24.i1', '24.j1', '24.j2'], 'contains': ['96.d1', '96.r1', '96.v1', '96.w1', '96.bn1', '96.bo1', '96.bp1'], 'core': '96.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [516359, 688149, 49665], 'label': '3072.z.48.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.l1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969662
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.m1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 768, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '24.h1'], 'contains': ['96.r1', '96.x1', '96.y1', '96.bn1', '96.bq1'], 'core': '192.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [516359, 180229, 49665], 'label': '3072.z.48.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.m1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.m1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969663
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '48.n1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.g1', '24.h1', '24.u1'], 'contains': ['96.r1', '96.z1', '96.ba1', '96.bt1'], 'core': '192.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [516359, 974861, 573457], 'label': '3072.z.48.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.n1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.n1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969664
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.o1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.k1', '24.l1', '24.t1'], 'contains': ['96.s1', '96.t1', '96.u1', '96.be1', '96.bf1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [500487, 819225, 319513], 'label': '3072.z.48.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.o1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.o1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969665
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.p1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 768, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '24.k1', '24.m1', '24.n1', '24.n2'], 'contains': ['96.s1', '96.v1', '96.y1', '96.bo1', '96.bq1'], 'core': '192.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1024279, 688149, 49665], 'label': '3072.z.48.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.p1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.p1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969666
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.q1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 768, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '24.l1'], 'contains': ['96.s1', '96.w1', '96.x1', '96.bp1', '96.bq1'], 'core': '192.e1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1024279, 180229, 49665], 'label': '3072.z.48.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.q1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.q1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969667
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '48.r1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55643', 'aut_weyl_index': 384, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.k1', '24.l1', '24.u1'], 'contains': ['96.s1', '96.z1', '96.ba1', '96.bu1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [500487, 974861, 573457], 'label': '3072.z.48.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.r1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.r1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969668
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '48.s1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.g1', '24.k1', '24.o1', '24.p1', '24.w1'], 'contains': ['96.t1', '96.v1', '96.z1', '96.ch1', '96.cj1'], 'core': '192.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [688149, 49681, 319513], 'label': '3072.z.48.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.s1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.s1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969669
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '48.t1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.g1', '24.l1', '24.x1'], 'contains': ['96.t1', '96.w1', '96.ba1', '96.cn1', '96.cp1'], 'core': '192.e1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [909587, 819225, 319513], 'label': '3072.z.48.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.t1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.t1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969670
{'ambient': '3072.z', 'aut_centralizer_order': 4, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 12, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['12.b1', '12.f1', '12.h1', '12.j1', '12.l1', '12.o1', '12.q1'], 'core': '12.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [633821, 516359, 319513, 49665], 'label': '3072.z.6.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.c1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 268969671
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.u1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.h1', '24.l1', '24.w1'], 'contains': ['96.t1', '96.x1', '96.z1', '96.ci1', '96.ck1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [705045, 49681, 319513], 'label': '3072.z.48.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.u1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.u1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969672
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.v1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.h1', '24.k1', '24.x1'], 'contains': ['96.t1', '96.y1', '96.ba1', '96.co1', '96.cq1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [893715, 819225, 319513], 'label': '3072.z.48.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.v1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.v1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969673
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '48.w1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.g1', '24.k1', '24.q1', '24.r1', '24.ba1'], 'contains': ['96.u1', '96.v1', '96.ba1', '96.df1'], 'core': '192.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [229647, 688149, 573457], 'label': '3072.z.48.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.w1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.w1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969674
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '48.x1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.g1', '24.l1', '24.bb1'], 'contains': ['96.u1', '96.w1', '96.z1', '96.dj1'], 'core': '192.e1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [229647, 974861, 573457], 'label': '3072.z.48.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.x1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.x1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969675
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '48.y1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55643', 'aut_weyl_index': 384, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.h1', '24.l1', '24.ba1'], 'contains': ['96.u1', '96.x1', '96.ba1', '96.dg1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [246543, 705045, 573457], 'label': '3072.z.48.y1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.y1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.y1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969676
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '48.z1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55643', 'aut_weyl_index': 384, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.h1', '24.k1', '24.bb1'], 'contains': ['96.u1', '96.y1', '96.z1', '96.dk1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [246543, 974861, 573457], 'label': '3072.z.48.z1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.z1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.z1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969677
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '48.ba1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.263', 'aut_weyl_index': 1536, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.c1', '24.i1', '24.m1', '24.o1', '24.q1'], 'contains': ['96.v1', '96.br1', '96.cl1', '96.dh1'], 'core': '192.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [633821, 49681, 49665], 'label': '3072.z.48.ba1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1', 'old_label': '48.ba1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ba1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969678
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '48.bb1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.263', 'aut_weyl_index': 1536, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.j1', '24.n1', '24.o1', '24.q1', '24.bd1'], 'contains': ['96.v1', '96.bs1', '96.cm1', '96.di1'], 'core': '192.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [362949, 49681, 573457], 'label': '3072.z.48.bb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1', 'old_label': '48.bb1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bb1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969679
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '48.bb2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.263', 'aut_weyl_index': 1536, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.j2', '24.n2', '24.p1', '24.r1', '24.bd1'], 'contains': ['96.v1', '96.bs1', '96.cm2', '96.di2'], 'core': '192.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [362949, 49681, 49665], 'label': '3072.z.48.bb2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.bb2', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bb2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969680
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.bc1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.s1', '24.t1'], 'contains': ['96.bb1', '96.bc1', '96.bd1', '96.be1', '96.bf1', '96.bg1', '96.bh1'], 'core': '384.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [500487, 836121, 319513], 'label': '3072.z.48.bc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.bc1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bc1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969681
{'ambient': '3072.z', 'aut_centralizer_order': 4, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 12, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['12.g1', '12.i1', '12.j1', '12.l1', '12.p1', '12.r1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [641245, 516359, 319513, 49665], 'label': '3072.z.6.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.d1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 268969682
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '48.bd1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.267', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.s1', '24.u1'], 'contains': ['96.bd1', '96.bi1', '96.bj1', '96.bt1', '96.bu1'], 'core': '384.c1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [516359, 974861, 49665], 'label': '3072.z.48.bd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bd1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bd1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969683
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.be1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.s1', '24.y1'], 'contains': ['96.bg1', '96.bi1', '96.cr1', '96.cs1'], 'core': '768.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [188677, 49681, 319513], 'label': '3072.z.48.be1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.be1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.be1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969684
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.bf1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.s1', '24.z1'], 'contains': ['96.bg1', '96.bj1', '96.ct1', '96.cu1'], 'core': '768.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [377347, 836121, 319513], 'label': '3072.z.48.bf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bf1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bf1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969685
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '48.bg1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.s1', '24.bc1'], 'contains': ['96.bh1', '96.bi1', '96.bj1', '96.dl1'], 'core': '768.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1015831, 974861, 49665], 'label': '3072.z.48.bg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bg1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bg1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969686
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '48.bh1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '24.t1', '24.v1', '24.w1', '24.x1', '24.y1', '24.z1'], 'contains': ['96.b1', '96.t1', '96.bg1', '96.bk1', '96.bm1', '96.bv1', '96.ca1', '96.cv1', '96.cw1', '96.cy1', '96.cz1'], 'core': '96.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [49681, 819225, 319513, 49665], 'label': '3072.z.48.bh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.bh1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bh1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969687
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.bi1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2194', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.t1', '24.v1', '24.ba1', '24.bb1', '24.bc1'], 'contains': ['96.b1', '96.u1', '96.bh1', '96.bl1', '96.bw1', '96.cb1'], 'core': '96.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [229647, 819225, 573457, 49665], 'label': '3072.z.48.bi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.bi1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bi1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969688
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.bj1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2194', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.u1', '24.w1', '24.y1', '24.bb1', '24.bc1'], 'contains': ['96.b1', '96.z1', '96.bi1', '96.by1', '96.cd1', '96.cx1'], 'core': '96.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [974861, 49681, 573457, 49665], 'label': '3072.z.48.bj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.bj1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969689
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.bk1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2194', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.u1', '24.x1', '24.z1', '24.ba1', '24.bc1'], 'contains': ['96.b1', '96.ba1', '96.bj1', '96.bz1', '96.ce1', '96.da1'], 'core': '96.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [622875, 819225, 573457, 49665], 'label': '3072.z.48.bk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.bk1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bk1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969690
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '48.bl1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.d1', '24.t1', '24.be1'], 'contains': ['96.c1', '96.h1', '96.m1', '96.n1', '96.bb1', '96.be1', '96.bk1', '96.bl1'], 'core': '96.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [516359, 557073, 319513, 49665], 'label': '3072.z.48.bl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.bl1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bl1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969691
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.bm1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.t1', '24.be1'], 'contains': ['96.c1', '96.i1', '96.bc1', '96.bf1', '96.bl1', '96.bm1'], 'core': '96.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [229647, 57361, 573457, 49665], 'label': '3072.z.48.bm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.bm1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bm1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969692
{'ambient': '3072.z', 'aut_centralizer_order': 4, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['3.a1'], 'contains': ['12.m1', '12.o1', '12.p1', '12.q1', '12.r1'], 'core': '24.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [641245, 1015831, 319513], 'label': '3072.z.6.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.e1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
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id: 268969693
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '48.bn1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.d1', '24.v1', '24.be1'], 'contains': ['96.j1', '96.o1', '96.q1', '96.bk1', '96.bl1', '96.cf1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1015831, 557073, 319513, 49665], 'label': '3072.z.48.bn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.bn1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bn1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969694
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '48.bo1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '24.be1'], 'contains': ['96.k1', '96.bk1', '96.bm1', '96.dc1', '96.dd1', '96.de1'], 'core': '192.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [49681, 319753, 319513, 49665], 'label': '3072.z.48.bo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.bo1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bo1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969695
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.bp1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.v1', '24.be1'], 'contains': ['96.l1', '96.bl1', '96.bm1', '96.cg1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1015831, 57361, 573457, 49665], 'label': '3072.z.48.bp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.bp1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bp1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969696
{'ambient': '3072.z', 'aut_centralizer_order': 96, 'aut_label': '48.bq1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '256.16401', 'aut_weyl_index': 384, 'centralizer': '4.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1', '24.i1'], 'contains': ['96.d1', '96.br1'], 'core': '96.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [633821, 516359], 'label': '3072.z.48.bq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '48.bq1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bq1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969697
{'ambient': '3072.z', 'aut_centralizer_order': 32, 'aut_label': '48.br1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.16401', 'aut_weyl_index': 384, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1', '24.j2'], 'contains': ['96.d1', '96.bs1'], 'core': '96.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [362949, 516359], 'label': '3072.z.48.br1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.br1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969698
{'ambient': '3072.z', 'aut_centralizer_order': 32, 'aut_label': '48.bs1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.16401', 'aut_weyl_index': 384, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1', '24.m1'], 'contains': ['96.bo1', '96.br1'], 'core': '192.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [125901, 500487], 'label': '3072.z.48.bs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.b1', 'old_label': '48.bs1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bs1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969699
{'ambient': '3072.z', 'aut_centralizer_order': 32, 'aut_label': '48.bt1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.16401', 'aut_weyl_index': 384, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1', '24.n2'], 'contains': ['96.bo1', '96.bs1'], 'core': '192.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [903637, 1024279], 'label': '3072.z.48.bt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.bt1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bt1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969700
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '48.bt2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '256.16401', 'aut_weyl_index': 384, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.j2', '24.n1', '24.n2'], 'contains': ['96.bo1', '96.bs1'], 'core': '192.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [903637, 500487], 'label': '3072.z.48.bt2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '48.bt2', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bt2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969701
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.bu1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.v1', '24.bf1'], 'contains': ['96.bv1', '96.bw1', '96.cf1', '96.cg1'], 'core': '768.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1015831, 819225, 319513], 'label': '3072.z.48.bu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bu1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bu1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969702
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.bv1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.w1', '24.bf1', '24.bg1', '24.bh1'], 'contains': ['96.bv1', '96.bx1', '96.by1', '96.ch1', '96.ci1', '96.cj1', '96.ck1'], 'core': '384.e1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [688149, 32785, 319513], 'label': '3072.z.48.bv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.bv1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bv1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969703
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1536.408627161', 'aut_weyl_index': 64, 'centralizer': '96.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1'], 'contains': ['16.b1', '16.c1', '16.d1', '24.b1', '32.c1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [49681, 835849, 41217, 819225, 557073, 49665, 557585, 925347], 'label': '3072.z.8.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1'], 'normal_contains': ['16.b1', '16.c1', '16.d1', '24.b1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
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id: 268969704
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.bw1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.z1', '24.bf1'], 'contains': ['96.bv1', '96.bz1', '96.ct1', '96.cu1'], 'core': '768.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [360451, 819225, 319513], 'label': '3072.z.48.bw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bw1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bw1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969705
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '48.bx1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.ba1', '24.bf1'], 'contains': ['96.bw1', '96.bx1', '96.bz1', '96.df1', '96.dg1'], 'core': '384.e1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [229647, 688149, 49665], 'label': '3072.z.48.bx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bx1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bx1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969706
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '48.by1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bc1', '24.bf1'], 'contains': ['96.bw1', '96.by1', '96.bz1', '96.dl1'], 'core': '768.c1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1015831, 974861, 573457], 'label': '3072.z.48.by1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.by1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.by1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969707
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '48.bz1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2167', 'aut_weyl_index': 768, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.c1', '24.bg1'], 'contains': ['96.bx1', '96.cl1', '96.dh1'], 'core': '384.e1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [125901, 557569, 49665], 'label': '3072.z.48.bz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1', 'old_label': '48.bz1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bz1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969708
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '48.ca1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2167', 'aut_weyl_index': 768, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bd1', '24.bg1'], 'contains': ['96.bx1', '96.cm1', '96.di2'], 'core': '384.e1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [379845, 32785, 573457], 'label': '3072.z.48.ca1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1', 'old_label': '48.ca1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ca1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969709
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '48.ca2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.263', 'aut_weyl_index': 1536, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bd1', '24.bh1'], 'contains': ['96.bx1', '96.cm2', '96.di1', '96.di2'], 'core': '384.e1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [903637, 557569, 49665], 'label': '3072.z.48.ca2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.ca2', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ca2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969710
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.cb1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.v1', '24.bi1'], 'contains': ['96.ca1', '96.cb1', '96.cf1', '96.cg1'], 'core': '768.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1032727, 836121, 319513], 'label': '3072.z.48.cb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cb1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cb1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969711
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.cc1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.x1', '24.bi1'], 'contains': ['96.ca1', '96.cc1', '96.ce1', '96.cn1', '96.co1', '96.cp1', '96.cq1'], 'core': '384.f1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [893715, 836121, 319513], 'label': '3072.z.48.cc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cc1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cc1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969712
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.cd1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.y1', '24.bi1'], 'contains': ['96.ca1', '96.cd1', '96.cr1', '96.cs1'], 'core': '768.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [188677, 32785, 319513], 'label': '3072.z.48.cd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cd1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cd1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969713
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '48.ce1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bb1', '24.bi1'], 'contains': ['96.cb1', '96.cc1', '96.cd1', '96.dj1', '96.dk1'], 'core': '384.f1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [229647, 974861, 49665], 'label': '3072.z.48.ce1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ce1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ce1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969714
{'ambient': '3072.z', 'aut_centralizer_order': 32, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1536.408627161', 'aut_weyl_index': 64, 'centralizer': '96.d1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1'], 'contains': ['16.a1', '16.b1', '24.d1', '32.d1'], 'core': '8.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [516359, 835849, 41217, 557073, 49681, 49665, 557585, 925347], 'label': '3072.z.8.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.a1', '16.b1', '24.d1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
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id: 268969715
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '48.cf1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bc1', '24.bi1'], 'contains': ['96.cb1', '96.cd1', '96.ce1', '96.dl1'], 'core': '768.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1015831, 974861, 557585], 'label': '3072.z.48.cf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cf1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cf1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969716
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '48.cg1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.45', 'aut_weyl_index': 3072, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.o1', '24.bg1', '24.bk1'], 'contains': ['96.ch1', '96.cl1', '96.cm1'], 'core': '384.e1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [633821, 319513], 'label': '3072.z.48.cg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1', 'old_label': '48.cg1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cg1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 268969717
{'ambient': '3072.z', 'aut_centralizer_order': 32, 'aut_label': '48.ch1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '64.196', 'aut_weyl_index': 1536, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.p1', '24.bh1', '24.bl1'], 'contains': ['96.ch1', '96.cm2'], 'core': '384.e1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [641245, 319513], 'label': '3072.z.48.ch1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.ch1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ch1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 268969718
{'ambient': '3072.z', 'aut_centralizer_order': 32, 'aut_label': '48.ci1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '64.260', 'aut_weyl_index': 1536, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.o1', '24.bg1', '24.bm1'], 'contains': ['96.cj1', '96.cl1', '96.cm1'], 'core': '384.e1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [362949, 303625], 'label': '3072.z.48.ci1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1', 'old_label': '48.ci1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ci1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 268969719
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '48.cj1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '128.2167', 'aut_weyl_index': 768, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.p1', '24.bh1', '24.bn1'], 'contains': ['96.cj1', '96.cm2'], 'core': '384.e1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [641245, 303625], 'label': '3072.z.48.cj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '48.cj1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cj1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 268969720
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '48.ck1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '24.bj1'], 'contains': ['96.cv1', '96.cw1', '96.db1', '96.dd1', '96.de1'], 'core': '192.f1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [566017, 819225, 319513], 'label': '3072.z.48.ck1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.ck1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ck1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969721
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '48.cl1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.e1', '24.w1', '24.bj1', '24.bk1', '24.bl1'], 'contains': ['96.e1', '96.ch1', '96.ci1', '96.cv1', '96.cx1'], 'core': '96.e1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [705029, 319513, 49665], 'label': '3072.z.48.cl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cl1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cl1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969722
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '48.cm1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.e1', '24.y1', '24.bj1'], 'contains': ['96.cr1', '96.cv1', '96.cx1'], 'core': '192.f1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [172821, 319513, 49665], 'label': '3072.z.48.cm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cm1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cm1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969723
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.cn1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.w1', '24.bj1', '24.bm1', '24.bn1'], 'contains': ['96.e1', '96.cj1', '96.ck1', '96.cw1', '96.cx1'], 'core': '96.e1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [688149, 303625, 49665], 'label': '3072.z.48.cn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cn1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cn1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969724
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.co1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.y1', '24.bj1'], 'contains': ['96.cs1', '96.cw1', '96.cx1'], 'core': '192.f1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [974861, 566017, 573457], 'label': '3072.z.48.co1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.co1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.co1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969725
{'ambient': '3072.z', 'aut_centralizer_order': 32, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '1536.408627161', 'aut_weyl_index': 64, 'centralizer': '96.d1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '4.d1'], 'contains': ['16.c1', '24.e1', '32.g1'], 'core': '8.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [705029, 835849, 41217, 925347, 557073, 49665, 557585, 819225], 'label': '3072.z.8.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': ['4.b1', '4.d1'], 'normal_contains': ['16.c1', '24.e1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
-
id: 268969726
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '48.cp1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.196', 'aut_weyl_index': 1536, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bd1', '24.bk1', '24.bl1', '24.bm1', '24.bn1'], 'contains': ['96.e1', '96.cm1', '96.cm2'], 'core': '96.e1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [362949, 573457, 49665], 'label': '3072.z.48.cp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cp1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cp1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 268969727
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '48.cq1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '24.bo1'], 'contains': ['96.cy1', '96.cz1', '96.db1', '96.dc1', '96.de1'], 'core': '192.g1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [566017, 319753, 319513], 'label': '3072.z.48.cq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cq1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cq1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969728
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '48.cr1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.f1', '24.x1', '24.bo1'], 'contains': ['96.f1', '96.cn1', '96.co1', '96.cy1', '96.da1'], 'core': '96.f1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [909587, 319513, 49665], 'label': '3072.z.48.cr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cr1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cr1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969729
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '48.cs1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.f1', '24.z1', '24.bo1'], 'contains': ['96.ct1', '96.cy1', '96.da1'], 'core': '192.g1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [360451, 319513, 49665], 'label': '3072.z.48.cs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cs1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cs1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969730
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.ct1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.x1', '24.bo1'], 'contains': ['96.f1', '96.cp1', '96.cq1', '96.cz1', '96.da1'], 'core': '96.f1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [622875, 57361, 49665], 'label': '3072.z.48.ct1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.ct1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ct1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969731
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '48.cu1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.z1', '24.bo1'], 'contains': ['96.cu1', '96.cz1', '96.da1'], 'core': '192.g1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [360451, 57361, 49665], 'label': '3072.z.48.cu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cu1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cu1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969732
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.5677', 'aut_weyl_index': 256, 'centralizer': '96.d1', 'complements': ['48.bq1', '48.bs1', '48.br1', '48.bt1', '48.bt2'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.b1'], 'contains': ['192.h1', '256.e1'], 'core': '64.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [925347, 49665, 835849, 41217, 557585], 'label': '3072.z.64.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1'], 'normal_contains': ['192.h1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': '3072.z', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.3', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
-
id: 268969733
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '64.b1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '48.48', 'aut_weyl_index': 2048, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.a1', '32.d1'], 'contains': ['128.a1', '192.a1', '256.a1'], 'core': '192.a1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [516359, 49665, 925347, 49681, 557585], 'label': '3072.z.64.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '64.b1', 'projective_image': '768.1083570', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.b1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
-
id: 268969734
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '64.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.48', 'aut_weyl_index': 2048, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '32.c1', '32.d1'], 'contains': ['128.a1', '128.d1', '192.b1', '256.b1'], 'core': '192.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [49681, 49665, 557073, 925347, 557585], 'label': '3072.z.64.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '64.c1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.c1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
-
id: 268969735
{'ambient': '3072.z', 'aut_centralizer_order': 192, 'aut_label': '64.d1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1', '32.e1'], 'contains': ['128.b1', '128.c1', '192.c1'], 'core': '192.c1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [516359, 557073, 819225, 925347, 49681], 'label': '3072.z.64.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '64.d1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969736
{'ambient': '3072.z', 'aut_centralizer_order': 32, 'aut_label': '8.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1536.408627161', 'aut_weyl_index': 64, 'centralizer': '96.d1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.c1'], 'contains': ['16.d1', '24.f1', '32.h1'], 'core': '8.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [909587, 835849, 41217, 925347, 557073, 49665, 557585, 836105], 'label': '3072.z.8.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1', 'normal_contained_in': ['4.c1'], 'normal_contains': ['16.d1', '24.f1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
-
id: 268969737
{'ambient': '3072.z', 'aut_centralizer_order': 192, 'aut_label': '64.e1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1', '32.e1', '32.f1'], 'contains': ['128.b1', '128.e1', '192.d1'], 'core': '192.d1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [688149, 557073, 49681, 925347, 819225], 'label': '3072.z.64.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '64.e1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969738
{'ambient': '3072.z', 'aut_centralizer_order': 192, 'aut_label': '64.f1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1', '32.e1'], 'contains': ['128.b1', '128.f1', '192.e1'], 'core': '192.e1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [909587, 557073, 819225, 925347, 836105], 'label': '3072.z.64.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '64.f1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969739
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '64.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.48', 'aut_weyl_index': 2048, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '32.c1', '32.g1'], 'contains': ['128.d1', '192.f1', '256.c1'], 'core': '192.f1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [819225, 49665, 925347, 557073, 557585], 'label': '3072.z.64.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '64.g1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.g1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
-
id: 268969740
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '64.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '48.48', 'aut_weyl_index': 2048, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '32.c1', '32.h1'], 'contains': ['128.d1', '192.g1', '256.d1'], 'core': '192.g1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [836105, 49665, 925347, 557073, 557585], 'label': '3072.z.64.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '64.h1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.h1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
-
id: 268969741
{'ambient': '3072.z', 'aut_centralizer_order': 96, 'aut_label': '64.i1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '16.10', 'aut_weyl_index': 6144, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.i1', '32.f1'], 'contains': ['128.e1', '192.ct1'], 'core': '384.e1', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [633821, 557073, 925347, 688149, 819225], 'label': '3072.z.64.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '64.i1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969742
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '24.8', 'aut_weyl_index': 4096, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.a1', '48.a1', '48.e1'], 'contains': ['192.h1', '192.q1', '192.da1'], 'core': '96.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [49681, 319513, 581905], 'label': '3072.z.96.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.a1', '48.e1'], 'normal_contains': ['192.h1', '384.a1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': '1536.408528694', 'quotient_action_image': '6.2', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
-
id: 268969743
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '96.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4096, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1', '48.b1', '48.c1', '48.d1', '48.bh1', '48.bi1', '48.bj1', '48.bk1'], 'contains': ['192.b1', '192.f1', '192.g1', '192.v1', '192.y1', '192.bj1', '192.bk1'], 'core': '96.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [49681, 819225, 573457, 49665], 'label': '3072.z.96.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': ['24.b1', '48.b1', '48.c1', '48.d1'], 'normal_contains': ['192.b1', '192.f1', '192.g1', '384.b1'], 'normalizer': '1.a1', 'old_label': '96.b1', 'projective_image': '384.5746', 'quotient_action_image': '3.1', 'quotient_action_kernel': '32.45', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '96.b1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 268969744
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '96.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4096, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.d1', '48.b1', '48.bl1', '48.bm1'], 'contains': ['192.a1', '192.b1', '192.m1', '192.w1', '192.x1'], 'core': '96.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [516359, 557073, 573457, 49665], 'label': '3072.z.96.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1', 'normal_contained_in': ['24.d1', '48.b1'], 'normal_contains': ['192.a1', '192.b1', '384.c1'], 'normalizer': '1.a1', 'old_label': '96.c1', 'projective_image': '384.606', 'quotient_action_image': '3.1', 'quotient_action_kernel': '32.36', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '96.c1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 268969745
{'ambient': '3072.z', 'aut_centralizer_order': 1536, 'aut_label': '96.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.e1', '48.l1', '48.bq1', '48.br1'], 'contains': ['192.c1', '192.d1', '192.e1'], 'core': '96.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [516359, 688149], 'label': '3072.z.96.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.d1', 'normal_contained_in': ['24.a1'], 'normal_contains': ['192.c1', '192.d1', '192.e1'], 'normalizer': '1.a1', 'old_label': '96.d1', 'projective_image': '96.72', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.72', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969746
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '96.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4096, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.g1', '48.c1', '48.g1', '48.cl1', '48.cn1', '48.cp1'], 'contains': ['192.f1', '192.bq1', '192.br1'], 'core': '96.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [705029, 573457, 49665], 'label': '3072.z.96.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1', 'normal_contained_in': ['24.e1', '48.c1', '48.g1'], 'normal_contains': ['192.f1', '384.e1'], 'normalizer': '1.a1', 'old_label': '96.e1', 'projective_image': '384.5749', 'quotient_action_image': '3.1', 'quotient_action_kernel': '32.45', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '96.e1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 268969747
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1536.408634201', 'aut_weyl_index': 64, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '4.e1'], 'contains': ['16.e1', '16.f1', '16.g1', '24.a1', '32.e1'], 'core': '24.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [516359, 819225, 557073, 688149, 49681, 49665, 557585, 925347], 'label': '3072.z.8.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '8.e1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
-
id: 268969748
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '96.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4096, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.h1', '48.d1', '48.cr1', '48.ct1'], 'contains': ['192.g1', '192.bv1', '192.bw1'], 'core': '96.f1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [909587, 573457, 49665], 'label': '3072.z.96.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.f1', 'normal_contained_in': ['24.f1', '48.d1'], 'normal_contains': ['192.g1', '384.f1'], 'normalizer': '1.a1', 'old_label': '96.f1', 'projective_image': '384.606', 'quotient_action_image': '3.1', 'quotient_action_kernel': '32.36', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '96.f1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 268969749
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '96.g1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.8', 'aut_weyl_index': 4096, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1', '48.e1', '48.f1', '48.h1'], 'contains': ['192.h1', '192.ce1', '192.db1'], 'core': '96.g1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [557073, 319513, 581905], 'label': '3072.z.96.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.g1', 'normal_contained_in': ['32.b1', '48.e1', '48.f1', '48.h1'], 'normal_contains': ['192.h1', '384.d1'], 'normalizer': '1.a1', 'old_label': '96.g1', 'projective_image': '1536.408527673', 'quotient_action_image': '6.2', 'quotient_action_kernel': '16.2', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '96.g1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
-
id: 268969750
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.h1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.i1', '48.bl1'], 'contains': ['192.i1', '192.j1', '192.k1', '192.l1', '192.m1', '192.n1', '192.o1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [500487, 573969, 319513], 'label': '3072.z.96.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.h1', 'projective_image': '768.1083570', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969751
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.i1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.i1', '48.bm1'], 'contains': ['192.m1', '192.o2', '192.p1', '192.t1', '192.u1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [229647, 57361, 49665], 'label': '3072.z.96.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.i1', 'projective_image': '768.1083570', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969752
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.j1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.i1', '48.bn1'], 'contains': ['192.n1', '192.o2', '192.cv1', '192.cw1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1032727, 573969, 319513], 'label': '3072.z.96.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.j1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969753
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '96.k1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.i1', '48.bo1'], 'contains': ['192.n1', '192.p1', '192.cx1', '192.cy1', '192.cz1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [49681, 319753, 319513], 'label': '3072.z.96.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.k1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969754
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.l1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.i1', '48.bp1'], 'contains': ['192.o1', '192.o2', '192.p1', '192.dd1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1015831, 57361, 49665], 'label': '3072.z.96.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.l1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969755
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.m1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.a1', '48.j1', '48.bl1'], 'contains': ['192.a1', '192.i1', '192.k1', '192.q1', '192.s1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [516359, 319513, 49665], 'label': '3072.z.96.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.m1', 'projective_image': '768.1083570', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.m1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969756
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.j1', '48.bl1'], 'contains': ['192.a1', '192.j1', '192.l1', '192.r1', '192.s1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [229647, 843785, 49665], 'label': '3072.z.96.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.n1', 'projective_image': '768.1083570', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.n1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969757
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.o1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.a1', '48.j1', '48.bn1'], 'contains': ['192.q1', '192.s1', '192.cv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1015831, 319513, 49665], 'label': '3072.z.96.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.o1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.o1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969758
{'ambient': '3072.z', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '96.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.c1', '6.a1', '8.e1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [516359, 557585, 819225, 557073, 49665, 688149, 49681, 41217, 835849, 925347], 'label': '3072.z.2.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.c1', '6.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
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id: 268969759
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '768.1090150', 'aut_weyl_index': 128, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '4.e1'], 'contains': ['16.f1', '16.i1', '24.c1', '32.f1'], 'core': '24.c1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [633821, 819225, 557073, 49681, 688149, 49665, 557585, 925347], 'label': '3072.z.8.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '8.f1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
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id: 268969760
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '96.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.e1', '48.j1'], 'contains': ['192.q1', '192.r1', '192.da1', '192.db1', '192.dc1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [49681, 57601, 319513], 'label': '3072.z.96.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.p1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.p1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969761
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.q1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.j1', '48.bn1'], 'contains': ['192.r1', '192.s1', '192.cw1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1015831, 843785, 49665], 'label': '3072.z.96.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.q1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.q1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969762
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '96.r1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.b1', '48.k1', '48.l1', '48.m1', '48.n1'], 'contains': ['192.c1', '192.v1', '192.w1', '192.bc1', '192.bf1'], 'core': '192.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [516359, 819225, 49665], 'label': '3072.z.96.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.r1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.r1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969763
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '96.s1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.b1', '48.o1', '48.p1', '48.q1', '48.r1'], 'contains': ['192.v1', '192.x1', '192.bc1', '192.bg1'], 'core': '384.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1024279, 819225, 49665], 'label': '3072.z.96.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.s1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.s1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969764
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '96.t1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.k1', '48.o1', '48.s1', '48.t1', '48.u1', '48.v1', '48.bh1'], 'contains': ['192.v1', '192.z1', '192.bb1', '192.bo1', '192.bp1', '192.bt1', '192.bu1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [49681, 819225, 319513], 'label': '3072.z.96.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.t1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.t1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969765
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.u1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.k1', '48.o1', '48.w1', '48.x1', '48.y1', '48.z1', '48.bi1'], 'contains': ['192.v1', '192.ba1', '192.ci1', '192.cm1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [229647, 819225, 573457], 'label': '3072.z.96.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.u1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.u1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969766
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '96.v1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.c1', '48.l1', '48.p1', '48.s1', '48.w1', '48.ba1', '48.bb1', '48.bb2'], 'contains': ['192.d1', '192.v1', '192.bd1', '192.bq1', '192.cj1'], 'core': '192.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [688149, 49681, 49665], 'label': '3072.z.96.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.v1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.v1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969767
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '96.w1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.d1', '48.l1', '48.q1', '48.t1', '48.x1'], 'contains': ['192.e1', '192.v1', '192.be1', '192.bv1', '192.cn1'], 'core': '192.e1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [909587, 819225, 49665], 'label': '3072.z.96.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.w1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.w1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969768
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '96.x1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.c1', '48.m1', '48.q1', '48.u1', '48.y1'], 'contains': ['192.v1', '192.bd1', '192.br1', '192.ck1'], 'core': '384.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [180229, 49681, 49665], 'label': '3072.z.96.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.x1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.x1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969769
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '96.y1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.d1', '48.m1', '48.p1', '48.v1', '48.z1'], 'contains': ['192.v1', '192.be1', '192.bw1', '192.co1'], 'core': '384.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [368899, 819225, 49665], 'label': '3072.z.96.y1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.y1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.y1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969838
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.48', 'aut_weyl_index': 3072, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.ba1', '48.bz1'], 'contains': ['192.cj1', '192.ct1'], 'core': '384.e1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [125901, 32785], 'label': '3072.z.96.dh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.b1', 'old_label': '96.dh1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969770
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.19814', 'aut_weyl_index': 256, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '6.a1'], 'contains': ['24.b1', '24.d1', '24.t1', '24.v1', '24.be1'], 'core': '12.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [516359, 819225, 319513, 581905], 'label': '3072.z.12.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1'], 'normal_contains': ['24.b1', '24.d1', '48.b1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '192.193', 'quotient_action_image': '6.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
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id: 268969771
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.z1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.n1', '48.r1', '48.s1', '48.u1', '48.x1', '48.z1', '48.bj1'], 'contains': ['192.v1', '192.bh1', '192.bs1', '192.cp1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [974861, 49681, 573457], 'label': '3072.z.96.z1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.z1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.z1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969772
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.ba1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.n1', '48.r1', '48.t1', '48.v1', '48.w1', '48.y1', '48.bk1'], 'contains': ['192.v1', '192.bi1', '192.bx1', '192.cl1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [622875, 819225, 573457], 'label': '3072.z.96.ba1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ba1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ba1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969773
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '96.bb1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.k1', '48.bc1', '48.bl1'], 'contains': ['192.i1', '192.j1', '192.w1', '192.z1', '192.ba1'], 'core': '384.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [516359, 557073, 319513], 'label': '3072.z.96.bb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bb1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bb1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969774
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.bc1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.k1', '48.bc1', '48.bm1'], 'contains': ['192.t1', '192.w1', '192.ba1', '192.bb1'], 'core': '384.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [229647, 57361, 573457], 'label': '3072.z.96.bc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bc1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bc1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969775
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '96.bd1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.b1', '48.bc1', '48.bd1'], 'contains': ['192.w1', '192.x1', '192.y1', '192.bf1', '192.bg1'], 'core': '384.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1024279, 311305, 49665], 'label': '3072.z.96.bd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bd1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bd1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969776
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.be1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.o1', '48.bc1', '48.bl1'], 'contains': ['192.k1', '192.l1', '192.x1', '192.z1', '192.ba1'], 'core': '768.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [500487, 557073, 319513], 'label': '3072.z.96.be1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.be1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.be1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969777
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.bf1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.o1', '48.bc1', '48.bm1'], 'contains': ['192.u1', '192.x1', '192.ba1', '192.bb1'], 'core': '768.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [246543, 57361, 573457], 'label': '3072.z.96.bf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bf1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bf1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969778
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '96.bg1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bc1', '48.be1', '48.bf1', '48.bh1'], 'contains': ['192.y1', '192.z1', '192.bb1', '192.by1', '192.bz1', '192.cb1', '192.cc1'], 'core': '768.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [49681, 836121, 319513], 'label': '3072.z.96.bg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bg1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bg1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969779
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.bh1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bc1', '48.bg1', '48.bi1'], 'contains': ['192.y1', '192.ba1', '192.cq1'], 'core': '768.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [246543, 836121, 573457], 'label': '3072.z.96.bh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bh1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bh1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969780
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bd1', '48.be1', '48.bg1', '48.bj1'], 'contains': ['192.y1', '192.bh1', '192.ca1', '192.cr1'], 'core': '768.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [974861, 49681, 49665], 'label': '3072.z.96.bi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.bi1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969781
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '12.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1', '6.c1'], 'contains': ['24.a1', '24.c1', '24.i1', '24.m1'], 'core': '12.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [633821, 516359, 573457, 49665], 'label': '3072.z.12.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': ['3.a1'], 'normal_contains': ['24.a1', '24.c1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '96.72', 'quotient_action_image': '12.3', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
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id: 268969782
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.bj1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bd1', '48.bf1', '48.bg1', '48.bk1'], 'contains': ['192.y1', '192.bi1', '192.cd1', '192.cs1'], 'core': '768.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [114955, 311305, 49665], 'label': '3072.z.96.bj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.bj1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bj1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969783
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '96.bk1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1', '48.bh1', '48.bl1', '48.bn1', '48.bo1'], 'contains': ['192.b1', '192.n1', '192.q1', '192.r1', '192.z1', '192.bl1', '192.ce1', '192.cf1'], 'core': '192.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [49681, 557073, 319513, 49665], 'label': '3072.z.96.bk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bk1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bk1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969784
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.bl1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bi1', '48.bl1', '48.bm1', '48.bn1', '48.bp1'], 'contains': ['192.b1', '192.o1', '192.o2', '192.s1', '192.ba1', '192.bm1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [229647, 557073, 573457, 49665], 'label': '3072.z.96.bl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bl1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bl1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969785
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '96.bm1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.bh1', '48.bm1', '48.bo1', '48.bp1'], 'contains': ['192.b1', '192.p1', '192.bb1', '192.bn1', '192.cg1', '192.ch1'], 'core': '192.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [49681, 57361, 573457, 49665], 'label': '3072.z.96.bm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bm1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bm1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969786
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.bn1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.l1', '48.m1'], 'contains': ['192.c1', '192.bd1', '192.be1'], 'core': '192.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [516359, 705045], 'label': '3072.z.96.bn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bn1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bn1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969787
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.bo1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.l1', '48.p1', '48.bs1', '48.bt1', '48.bt2'], 'contains': ['192.d1', '192.bc1', '192.be1'], 'core': '192.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [500487, 688149], 'label': '3072.z.96.bo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bo1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bo1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969788
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.bp1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.l1', '48.q1'], 'contains': ['192.e1', '192.bc1', '192.bd1'], 'core': '192.e1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [500487, 705045], 'label': '3072.z.96.bp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bp1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bp1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969789
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.bq1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.m1', '48.p1', '48.q1'], 'contains': ['192.bc1', '192.bd1', '192.be1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1024279, 705045], 'label': '3072.z.96.bq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bq1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bq1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969790
{'ambient': '3072.z', 'aut_centralizer_order': 384, 'aut_label': '96.br1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '32.48', 'aut_weyl_index': 3072, 'centralizer': '4.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.f1', '48.ba1', '48.bq1', '48.bs1'], 'contains': ['192.d1', '192.ct1'], 'core': '192.d1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [633821, 49681], 'label': '3072.z.96.br1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '96.br1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.br1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969791
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '96.bs1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.48', 'aut_weyl_index': 3072, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bb1', '48.bb2', '48.br1', '48.bt1', '48.bt2'], 'contains': ['192.d1', '192.cu1'], 'core': '192.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [362949, 49681], 'label': '3072.z.96.bs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.bs1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bs1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969792
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '12.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '384.19814', 'aut_weyl_index': 256, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '6.a1', '6.b1'], 'contains': ['24.b1', '24.e1', '24.w1', '24.y1', '24.bj1'], 'core': '12.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [688149, 49681, 319513, 581905], 'label': '3072.z.12.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': ['4.b1', '6.a1', '6.b1'], 'normal_contains': ['24.b1', '24.e1', '48.c1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '192.1002', 'quotient_action_image': '6.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
-
id: 268969793
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '96.bt1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.51', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.n1', '48.bd1'], 'contains': ['192.bf1', '192.bh1', '192.bi1'], 'core': '384.c1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [516359, 974861], 'label': '3072.z.96.bt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.bt1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bt1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969794
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '96.bu1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.r1', '48.bd1'], 'contains': ['192.bg1', '192.bh1', '192.bi1'], 'core': '768.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [500487, 974861], 'label': '3072.z.96.bu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.bu1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bu1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969795
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '96.bv1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bh1', '48.bu1', '48.bv1', '48.bw1'], 'contains': ['192.bj1', '192.bl1', '192.bn1', '192.bo1', '192.bp1', '192.cb1', '192.cc1'], 'core': '768.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [32785, 819225, 319513], 'label': '3072.z.96.bv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bv1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bv1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969796
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.bw1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bi1', '48.bu1', '48.bx1', '48.by1'], 'contains': ['192.bj1', '192.bm1', '192.ci1', '192.cq1'], 'core': '768.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [229647, 819225, 49665], 'label': '3072.z.96.bw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.bw1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bw1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969797
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '96.bx1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.c1', '48.bv1', '48.bx1', '48.bz1', '48.ca1', '48.ca2'], 'contains': ['192.bj1', '192.bq1', '192.br1', '192.cj1', '192.ck1'], 'core': '384.e1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [688149, 557569, 49665], 'label': '3072.z.96.bx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bx1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bx1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969798
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.by1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bj1', '48.bv1', '48.by1'], 'contains': ['192.bj1', '192.bs1', '192.cr1'], 'core': '768.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [974861, 32785, 573457], 'label': '3072.z.96.by1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.by1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.by1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969799
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.bz1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bk1', '48.bw1', '48.bx1', '48.by1'], 'contains': ['192.bj1', '192.cd1', '192.cl1', '192.cs1'], 'core': '768.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [622875, 819225, 49665], 'label': '3072.z.96.bz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.bz1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bz1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969800
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '96.ca1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bh1', '48.cb1', '48.cc1', '48.cd1'], 'contains': ['192.bk1', '192.bl1', '192.bn1', '192.bt1', '192.bu1', '192.by1', '192.bz1'], 'core': '768.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [32785, 836121, 319513], 'label': '3072.z.96.ca1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ca1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ca1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969801
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.cb1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bi1', '48.cb1', '48.ce1', '48.cf1'], 'contains': ['192.bk1', '192.bm1', '192.cm1', '192.cq1'], 'core': '768.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [770335, 311305, 49665], 'label': '3072.z.96.cb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cb1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cb1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969802
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '96.cc1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.d1', '48.cc1', '48.ce1'], 'contains': ['192.bk1', '192.bv1', '192.bw1', '192.cn1', '192.co1'], 'core': '384.f1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [368899, 311305, 49665], 'label': '3072.z.96.cc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.cc1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cc1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969803
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '12.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.19814', 'aut_weyl_index': 256, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '6.a1'], 'contains': ['24.b1', '24.f1', '24.x1', '24.z1', '24.bo1'], 'core': '12.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [909587, 819225, 319513, 581905], 'label': '3072.z.12.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': ['4.c1', '6.a1'], 'normal_contains': ['24.b1', '24.f1', '48.d1'], 'normalizer': '1.a1', 'old_label': '12.d1', 'projective_image': '192.193', 'quotient_action_image': '6.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
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id: 268969804
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.cd1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bj1', '48.cd1', '48.ce1', '48.cf1'], 'contains': ['192.bk1', '192.ca1', '192.cp1', '192.cr1'], 'core': '768.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [974861, 557569, 49665], 'label': '3072.z.96.cd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cd1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cd1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969805
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.ce1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bk1', '48.cc1', '48.cf1'], 'contains': ['192.bk1', '192.bx1', '192.cs1'], 'core': '768.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [639771, 836121, 573457], 'label': '3072.z.96.ce1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ce1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ce1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969806
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.cf1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bn1', '48.bu1', '48.cb1'], 'contains': ['192.bl1', '192.bm1', '192.cv1', '192.cw1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1015831, 557073, 319513], 'label': '3072.z.96.cf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cf1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cf1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969807
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.cg1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bp1', '48.bu1', '48.cb1'], 'contains': ['192.bm1', '192.bn1', '192.dd1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1015831, 57361, 573457], 'label': '3072.z.96.cg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cg1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cg1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969808
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '96.ch1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.s1', '48.bv1', '48.cg1', '48.ch1', '48.cl1'], 'contains': ['192.bo1', '192.bq1', '192.bs1'], 'core': '384.e1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [705029, 319513], 'label': '3072.z.96.ch1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ch1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ch1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969809
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.ci1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.u1', '48.bv1', '48.cl1'], 'contains': ['192.bo1', '192.br1', '192.bs1'], 'core': '768.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [688133, 319513], 'label': '3072.z.96.ci1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ci1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ci1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969810
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.cj1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.s1', '48.bv1', '48.ci1', '48.cj1', '48.cn1'], 'contains': ['192.bp1', '192.bq1', '192.bs1'], 'core': '384.e1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [688149, 303625], 'label': '3072.z.96.cj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.cj1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cj1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969811
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.ck1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.u1', '48.bv1', '48.cn1'], 'contains': ['192.bp1', '192.br1', '192.bs1'], 'core': '768.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [705045, 319497], 'label': '3072.z.96.ck1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ck1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ck1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969812
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.cl1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.10', 'aut_weyl_index': 6144, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.g1', '48.ba1', '48.bz1', '48.cg1', '48.ci1'], 'contains': ['192.bq1', '192.ct1'], 'core': '384.e1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [633821, 49665], 'label': '3072.z.96.cl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1', 'old_label': '96.cl1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cl1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969813
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.cm1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.10', 'aut_weyl_index': 6144, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bb1', '48.ca1', '48.cg1', '48.ci1', '48.cp1'], 'contains': ['192.bq1', '192.cu1'], 'core': '384.e1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [362949, 573457], 'label': '3072.z.96.cm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1', 'old_label': '96.cm1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cm1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969839
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '96.di1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.48', 'aut_weyl_index': 3072, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bb1', '48.ca2'], 'contains': ['192.cj1', '192.cu1'], 'core': '384.e1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [903637, 557569], 'label': '3072.z.96.di1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.di1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.di1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969814
{'ambient': '3072.z', 'aut_centralizer_order': 32, 'aut_label': '12.e1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '768.1088672', 'aut_weyl_index': 128, 'centralizer': '24.a1', 'complements': ['256.a1'], 'conjugacy_class_count': 4, 'contained_in': ['4.d1', '6.b1'], 'contains': ['24.e1', '24.bk1', '24.bl1'], 'core': '12.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [633821, 319513, 581905], 'label': '3072.z.12.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1', 'normal_contained_in': ['4.d1', '6.b1'], 'normal_contains': ['24.e1', '48.g1'], 'normalizer': '1.a1', 'old_label': '12.e1', 'projective_image': '384.5749', 'quotient_action_image': '3.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '12.e1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
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id: 268969815
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '96.cm2', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.10', 'aut_weyl_index': 6144, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.bb2', '48.ca2', '48.ch1', '48.cj1', '48.cp1'], 'contains': ['192.bq1', '192.cu1'], 'core': '384.e1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [362949, 49665], 'label': '3072.z.96.cm2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '96.cm2', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cm2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969816
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '96.cn1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.t1', '48.cc1', '48.cr1'], 'contains': ['192.bt1', '192.bv1', '192.bx1'], 'core': '384.f1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [909587, 319513], 'label': '3072.z.96.cn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.cn1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cn1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969817
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.co1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.v1', '48.cc1', '48.cr1'], 'contains': ['192.bt1', '192.bw1', '192.bx1'], 'core': '768.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [893715, 319513], 'label': '3072.z.96.co1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.co1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.co1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969818
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.cp1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.t1', '48.cc1', '48.ct1'], 'contains': ['192.bu1', '192.bv1', '192.bx1'], 'core': '384.f1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [622875, 57361], 'label': '3072.z.96.cp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.cp1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cp1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969819
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.cq1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '32.51', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.v1', '48.cc1', '48.ct1'], 'contains': ['192.bu1', '192.bw1', '192.bx1'], 'core': '768.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [639771, 57361], 'label': '3072.z.96.cq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.cq1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cq1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969820
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.cr1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.be1', '48.cd1', '48.cm1'], 'contains': ['192.by1', '192.ca1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [172821, 319513], 'label': '3072.z.96.cr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cr1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cr1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969821
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.cs1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.be1', '48.cd1', '48.co1'], 'contains': ['192.bz1', '192.ca1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [974861, 566017], 'label': '3072.z.96.cs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cs1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cs1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969822
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.ct1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bf1', '48.bw1', '48.cs1'], 'contains': ['192.cb1', '192.cd1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [360451, 319513], 'label': '3072.z.96.ct1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ct1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ct1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969823
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '96.cu1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bf1', '48.bw1', '48.cu1'], 'contains': ['192.cc1', '192.cd1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [360451, 57361], 'label': '3072.z.96.cu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cu1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cu1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969824
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '96.cv1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.f1', '48.bh1', '48.ck1', '48.cl1', '48.cm1'], 'contains': ['192.f1', '192.bo1', '192.by1', '192.ce1', '192.cg1'], 'core': '192.f1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [819225, 319513, 49665], 'label': '3072.z.96.cv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.cv1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cv1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969825
{'ambient': '3072.z', 'aut_centralizer_order': 8, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': None, 'aut_weyl_index': 96, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.c1'], 'contains': ['24.g1', '24.i1', '24.j1', '24.o1', '24.q1'], 'core': '96.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [633821, 516359, 319513], 'label': '3072.z.12.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1', 'old_label': '12.f1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 268969826
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '96.cw1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.bh1', '48.ck1', '48.cn1', '48.co1'], 'contains': ['192.f1', '192.bp1', '192.bz1', '192.cf1', '192.ch1'], 'core': '192.f1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [303625, 819225, 49665], 'label': '3072.z.96.cw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.cw1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cw1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969827
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.cx1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bj1', '48.cl1', '48.cm1', '48.cn1', '48.co1'], 'contains': ['192.f1', '192.bs1', '192.ca1'], 'core': '192.f1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [959005, 573457, 49665], 'label': '3072.z.96.cx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.cx1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cx1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969828
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '96.cy1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1', '48.bh1', '48.cq1', '48.cr1', '48.cs1'], 'contains': ['192.g1', '192.bt1', '192.cb1', '192.ce1', '192.ch1'], 'core': '192.g1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [836105, 319513, 49665], 'label': '3072.z.96.cy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.cy1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cy1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969829
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '96.cz1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.bh1', '48.cq1', '48.ct1', '48.cu1'], 'contains': ['192.g1', '192.bu1', '192.cc1', '192.cf1', '192.cg1'], 'core': '192.g1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [303625, 57361, 49665], 'label': '3072.z.96.cz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.cz1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cz1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969830
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '96.da1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bk1', '48.cr1', '48.cs1', '48.ct1', '48.cu1'], 'contains': ['192.g1', '192.bx1', '192.cd1'], 'core': '192.g1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [622875, 573457, 49665], 'label': '3072.z.96.da1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.da1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.da1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969831
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '96.db1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1', '48.ck1', '48.cq1'], 'contains': ['192.ce1', '192.cf1', '192.da1', '192.dc1'], 'core': '384.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [566017, 557073, 319513], 'label': '3072.z.96.db1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.db1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.db1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969832
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '96.dc1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.f1', '48.bo1', '48.cq1'], 'contains': ['192.ce1', '192.cg1', '192.cx1'], 'core': '384.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [319753, 319513, 49665], 'label': '3072.z.96.dc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.dc1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dc1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969833
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '96.dd1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1', '48.bo1', '48.ck1'], 'contains': ['192.ce1', '192.ch1', '192.cy1'], 'core': '384.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [303897, 319513, 49665], 'label': '3072.z.96.dd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.dd1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dd1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969834
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '96.de1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bo1', '48.ck1', '48.cq1'], 'contains': ['192.cf1', '192.cg1', '192.ch1', '192.cz1'], 'core': '384.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [566017, 57361, 573457], 'label': '3072.z.96.de1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.de1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.de1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969835
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '96.df1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.w1', '48.bx1'], 'contains': ['192.ci1', '192.cj1', '192.cl1'], 'core': '384.e1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [229647, 688149], 'label': '3072.z.96.df1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.df1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.df1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969836
{'ambient': '3072.z', 'aut_centralizer_order': 4, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': None, 'aut_weyl_index': 48, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.d1'], 'contains': ['24.g1', '24.j2', '24.p1', '24.r1'], 'core': '96.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [641245, 516359, 319513], 'label': '3072.z.12.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '12.g1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 268969837
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '96.dg1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.y1', '48.bx1'], 'contains': ['192.ci1', '192.ck1', '192.cl1'], 'core': '768.c1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [770335, 705045], 'label': '3072.z.96.dg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dg1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dg1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969840
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '96.di2', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '32.48', 'aut_weyl_index': 3072, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bb2', '48.ca1', '48.ca2'], 'contains': ['192.cj1', '192.cu1'], 'core': '384.e1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [903637, 32785], 'label': '3072.z.96.di2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '96.di2', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.di2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969841
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '96.dj1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3072, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.x1', '48.ce1'], 'contains': ['192.cm1', '192.cn1', '192.cp1'], 'core': '384.f1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [229647, 974861], 'label': '3072.z.96.dj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dj1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dj1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969842
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '96.dk1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.z1', '48.ce1'], 'contains': ['192.cm1', '192.co1', '192.cp1'], 'core': '768.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [246543, 974861], 'label': '3072.z.96.dk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dk1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dk1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969843
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '96.dl1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '16.10', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.bg1', '48.by1', '48.cf1'], 'contains': ['192.cq1', '192.cr1', '192.cs1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [1015831, 974861], 'label': '3072.z.96.dl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dl1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dl1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969844
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '128.a1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '24.12', 'aut_weyl_index': 4096, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.a1', '64.b1', '64.c1'], 'contains': ['256.e1', '384.a1', '512.a1'], 'core': '384.a1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [49681, 925347, 557585, 49665], 'label': '3072.z.128.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '128.a1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.a1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
-
id: 268969845
{'ambient': '3072.z', 'aut_centralizer_order': 768, 'aut_label': '128.b1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1', '64.d1', '64.e1', '64.f1'], 'contains': ['256.b1', '256.c1', '256.d1', '384.b1'], 'core': '384.b1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [49681, 819225, 925347, 557073], 'label': '3072.z.128.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '128.b1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969846
{'ambient': '3072.z', 'aut_centralizer_order': 384, 'aut_label': '128.c1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.d1', '64.d1'], 'contains': ['256.a1', '256.b1', '384.c1'], 'core': '384.c1', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [516359, 557073, 925347, 49681], 'label': '3072.z.128.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '128.c1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969847
{'ambient': '3072.z', 'aut_centralizer_order': 4, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': None, 'aut_weyl_index': 48, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.c1'], 'contains': ['24.k1', '24.m1', '24.n1', '24.o1', '24.q1'], 'core': '192.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [649693, 500487, 319513], 'label': '3072.z.12.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1', 'old_label': '12.h1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 268969848
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '128.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '24.12', 'aut_weyl_index': 4096, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.b1', '64.c1', '64.g1', '64.h1'], 'contains': ['256.e1', '384.d1', '512.b1'], 'core': '384.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [557073, 925347, 557585, 49665], 'label': '3072.z.128.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '128.d1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.d1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
-
id: 268969849
{'ambient': '3072.z', 'aut_centralizer_order': 384, 'aut_label': '128.e1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.g1', '64.e1', '64.i1'], 'contains': ['256.c1', '384.e1'], 'core': '384.e1', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [705029, 925347, 819225, 557073], 'label': '3072.z.128.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '128.e1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969850
{'ambient': '3072.z', 'aut_centralizer_order': 384, 'aut_label': '128.f1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.h1', '64.f1'], 'contains': ['256.d1', '384.f1'], 'core': '384.f1', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [909587, 925347, 836105, 557073], 'label': '3072.z.128.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '128.f1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969851
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '12.4', 'aut_weyl_index': 8192, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['64.b1', '96.c1', '96.m1', '96.n1'], 'contains': ['384.a1', '384.g1', '384.h1'], 'core': '192.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [516359, 573457, 49665], 'label': '3072.z.192.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.a1', 'normal_contained_in': ['48.a1', '96.c1'], 'normal_contains': ['384.a1', '768.a1'], 'normalizer': '1.a1', 'old_label': '192.a1', 'projective_image': '768.1083570', 'quotient_action_image': '3.1', 'quotient_action_kernel': '64.183', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '192.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 268969852
{'ambient': '3072.z', 'aut_centralizer_order': 8192, 'aut_label': '192.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 8192, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.c1', '96.b1', '96.c1', '96.bk1', '96.bl1', '96.bm1'], 'contains': ['384.a1', '384.d1', '384.l1', '384.q1', '384.t1'], 'core': '192.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [49681, 557073, 573457, 49665], 'label': '3072.z.192.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1', 'normal_contained_in': ['48.e1', '96.b1', '96.c1'], 'normal_contains': ['384.a1', '384.d1', '768.b1'], 'normalizer': '1.a1', 'old_label': '192.b1', 'projective_image': '768.1083848', 'quotient_action_image': '3.1', 'quotient_action_kernel': '64.246', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '192.b1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 268969853
{'ambient': '3072.z', 'aut_centralizer_order': 6144, 'aut_label': '192.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.d1', '96.d1', '96.r1', '96.bn1'], 'contains': ['384.b1', '384.c1'], 'core': '192.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [516359, 819225], 'label': '3072.z.192.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.c1', 'normal_contained_in': ['48.b1', '96.d1'], 'normal_contains': ['384.b1', '384.c1'], 'normalizer': '1.a1', 'old_label': '192.c1', 'projective_image': '192.193', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.193', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969854
{'ambient': '3072.z', 'aut_centralizer_order': 6144, 'aut_label': '192.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.e1', '96.d1', '96.v1', '96.bo1', '96.br1', '96.bs1'], 'contains': ['384.b1', '384.e1'], 'core': '192.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [688149, 49681], 'label': '3072.z.192.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.d1', 'normal_contained_in': ['48.c1', '96.d1'], 'normal_contains': ['384.b1', '384.e1'], 'normalizer': '1.a1', 'old_label': '192.d1', 'projective_image': '192.1002', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.1002', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969855
{'ambient': '3072.z', 'aut_centralizer_order': 6144, 'aut_label': '192.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.f1', '96.d1', '96.w1', '96.bp1'], 'contains': ['384.b1', '384.f1'], 'core': '192.e1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [909587, 819225], 'label': '3072.z.192.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.e1', 'normal_contained_in': ['48.d1', '96.d1'], 'normal_contains': ['384.b1', '384.f1'], 'normalizer': '1.a1', 'old_label': '192.e1', 'projective_image': '192.193', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.193', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969856
{'ambient': '3072.z', 'aut_centralizer_order': 8192, 'aut_label': '192.f1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 8192, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.g1', '96.b1', '96.e1', '96.cv1', '96.cw1', '96.cx1'], 'contains': ['384.d1', '384.u1', '384.w1'], 'core': '192.f1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [819225, 573457, 49665], 'label': '3072.z.192.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.f1', 'normal_contained_in': ['48.f1', '96.b1', '96.e1'], 'normal_contains': ['384.d1', '768.c1'], 'normalizer': '1.a1', 'old_label': '192.f1', 'projective_image': '768.1083588', 'quotient_action_image': '3.1', 'quotient_action_kernel': '64.192', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '192.f1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 268969857
{'ambient': '3072.z', 'aut_centralizer_order': 8192, 'aut_label': '192.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 8192, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.h1', '96.b1', '96.f1', '96.cy1', '96.cz1', '96.da1'], 'contains': ['384.d1', '384.v1', '384.x1'], 'core': '192.g1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [836105, 573457, 49665], 'label': '3072.z.192.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.g1', 'normal_contained_in': ['48.h1', '96.b1', '96.f1'], 'normal_contains': ['384.d1', '768.d1'], 'normalizer': '1.a1', 'old_label': '192.g1', 'projective_image': '768.1083848', 'quotient_action_image': '3.1', 'quotient_action_kernel': '64.246', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '192.g1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 268969858
{'ambient': '3072.z', 'aut_centralizer_order': 4, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': None, 'aut_weyl_index': 48, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.d1'], 'contains': ['24.k1', '24.n2', '24.p1', '24.r1'], 'core': '192.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [625373, 500487, 319513], 'label': '3072.z.12.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '12.i1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 268969859
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '192.h1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.8', 'aut_weyl_index': 4096, 'centralizer': '6.a1', 'complements': ['16.h1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '96.a1', '96.g1'], 'contains': ['384.br1'], 'core': '192.h1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [319513, 581905], 'label': '3072.z.192.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.h1', 'normal_contained_in': ['64.a1', '96.a1', '96.g1'], 'normal_contains': ['768.e1'], 'normalizer': '1.a1', 'old_label': '192.h1', 'projective_image': '3072.z', 'quotient_action_image': '6.2', 'quotient_action_kernel': '32.3', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '192.h1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
-
id: 268969860
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '192.i1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.h1', '96.m1', '96.bb1'], 'contains': ['384.g1', '384.i1', '384.k1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [516359, 319513], 'label': '3072.z.192.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.i1', 'projective_image': '768.1083570', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969861
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '192.j1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.h1', '96.n1', '96.bb1'], 'contains': ['384.g1', '384.j1', '384.k1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [229647, 843785], 'label': '3072.z.192.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.j1', 'projective_image': '768.1083570', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969862
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '192.k1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.h1', '96.m1', '96.be1'], 'contains': ['384.h1', '384.i1', '384.k1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [500487, 319513], 'label': '3072.z.192.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.k1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969863
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '192.l1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.h1', '96.n1', '96.be1'], 'contains': ['384.h1', '384.j1', '384.k1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [246543, 843785], 'label': '3072.z.192.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.l1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.l1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969864
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.m1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.c1', '96.h1', '96.i1'], 'contains': ['384.g1', '384.h1', '384.l1', '384.m1', '384.n1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1024279, 49153, 49665], 'label': '3072.z.192.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.m1', 'projective_image': '768.1083570', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.m1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969865
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.h1', '96.j1', '96.k1', '96.bk1'], 'contains': ['384.i1', '384.j1', '384.l1', '384.bk1', '384.bl1', '384.bn1', '384.bo1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [49681, 573969, 319513], 'label': '3072.z.192.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.n1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.n1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969866
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '192.o1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.h1', '96.l1', '96.bl1'], 'contains': ['384.k1', '384.l1', '384.bu1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [246543, 573969, 573457], 'label': '3072.z.192.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.o1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.o1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969867
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '192.o2', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.i1', '96.j1', '96.l1', '96.bl1'], 'contains': ['384.l1', '384.o1', '384.bm1', '384.bu1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [770335, 49153, 49665], 'label': '3072.z.192.o2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.o2', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.o2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969868
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '192.p1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.i1', '96.k1', '96.l1', '96.bm1'], 'contains': ['384.l1', '384.p1', '384.bp1', '384.bq1', '384.bv1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [49681, 57361, 49665], 'label': '3072.z.192.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.p1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.p1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969869
{'ambient': '3072.z', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '96.d1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.d1', '6.b1', '8.f1'], 'core': '2.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [633821, 557585, 819225, 557073, 49665, 49681, 688149, 41217, 835849, 925347], 'label': '3072.z.2.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.d1', '6.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
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id: 268969870
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '512.7536911', 'aut_weyl_index': 192, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.c1', '6.d1'], 'contains': ['24.a1', '24.g1', '24.h1', '24.k1', '24.l1', '24.t1', '24.u1', '24.w1', '24.x1', '24.ba1', '24.bb1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [516359, 688149, 319513, 49665], 'label': '3072.z.12.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.j1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969871
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.q1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.a1', '96.m1', '96.o1', '96.p1', '96.bk1'], 'contains': ['384.a1', '384.i1', '384.bk1', '384.br1', '384.bs1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [49681, 319513, 49665], 'label': '3072.z.192.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.q1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.q1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969872
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.r1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.n1', '96.p1', '96.q1', '96.bk1'], 'contains': ['384.a1', '384.j1', '384.bl1', '384.bs1', '384.bt1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [49681, 843785, 49665], 'label': '3072.z.192.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.r1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.r1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969873
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '192.s1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.m1', '96.n1', '96.o1', '96.q1', '96.bl1'], 'contains': ['384.a1', '384.k1', '384.bm1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [229647, 573457, 49665], 'label': '3072.z.192.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.s1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.s1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969874
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '192.t1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.i1', '96.bc1'], 'contains': ['384.m1', '384.o1', '384.p1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [229647, 57361], 'label': '3072.z.192.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.t1', 'projective_image': '768.1083570', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.t1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969875
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '192.u1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.i1', '96.bf1'], 'contains': ['384.n1', '384.o1', '384.p1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [246543, 57361], 'label': '3072.z.192.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.u1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.u1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969876
{'ambient': '3072.z', 'aut_centralizer_order': 8192, 'aut_label': '192.v1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.b1', '96.r1', '96.s1', '96.t1', '96.u1', '96.v1', '96.w1', '96.x1', '96.y1', '96.z1', '96.ba1'], 'contains': ['384.b1', '384.q1', '384.s1', '384.u1', '384.v1', '384.bc1', '384.bd1'], 'core': '384.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [49681, 819225, 49665], 'label': '3072.z.192.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.v1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.v1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969877
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '192.w1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.c1', '96.r1', '96.bb1', '96.bc1', '96.bd1'], 'contains': ['384.c1', '384.g1', '384.m1', '384.q1', '384.r1'], 'core': '384.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [516359, 557073, 49665], 'label': '3072.z.192.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.w1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.w1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969878
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.x1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.c1', '96.s1', '96.bd1', '96.be1', '96.bf1'], 'contains': ['384.h1', '384.n1', '384.q1', '384.r1'], 'core': '768.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1024279, 557073, 49665], 'label': '3072.z.192.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.x1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.x1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969879
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '192.y1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.b1', '96.bd1', '96.bg1', '96.bh1', '96.bi1', '96.bj1'], 'contains': ['384.q1', '384.s1', '384.w1', '384.x1', '384.be1'], 'core': '768.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [49681, 311305, 49665], 'label': '3072.z.192.y1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.y1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.y1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969880
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '192.z1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.t1', '96.bb1', '96.be1', '96.bg1', '96.bk1'], 'contains': ['384.i1', '384.j1', '384.q1', '384.y1', '384.z1'], 'core': '768.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [49681, 557073, 319513], 'label': '3072.z.192.z1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.z1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.z1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969881
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '512.7536911', 'aut_weyl_index': 192, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1'], 'contains': ['24.s1', '24.t1', '24.u1', '24.y1', '24.z1', '24.bc1'], 'core': '48.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [516359, 188677, 319513, 49665], 'label': '3072.z.12.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.k1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969882
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '192.ba1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.u1', '96.bb1', '96.bc1', '96.be1', '96.bf1', '96.bh1', '96.bl1'], 'contains': ['384.k1', '384.o1', '384.q1', '384.bf1'], 'core': '768.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [229647, 557073, 573457], 'label': '3072.z.192.ba1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.ba1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ba1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969883
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.bb1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.t1', '96.bc1', '96.bf1', '96.bg1', '96.bm1'], 'contains': ['384.p1', '384.q1', '384.ba1', '384.bb1'], 'core': '768.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [49681, 57361, 573457], 'label': '3072.z.192.bb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bb1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bb1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969884
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.bc1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.r1', '96.s1', '96.bo1', '96.bp1', '96.bq1'], 'contains': ['384.b1', '384.r1'], 'core': '384.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [500487, 819225], 'label': '3072.z.192.bc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bc1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bc1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969885
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.bd1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.v1', '96.x1', '96.bn1', '96.bp1', '96.bq1'], 'contains': ['384.b1', '384.bg1'], 'core': '384.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [705045, 49681], 'label': '3072.z.192.bd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bd1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bd1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969886
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.be1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.w1', '96.y1', '96.bn1', '96.bo1', '96.bq1'], 'contains': ['384.b1', '384.bh1'], 'core': '384.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [893715, 819225], 'label': '3072.z.192.be1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.be1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.be1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969887
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.bf1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.r1', '96.bd1', '96.bt1'], 'contains': ['384.c1', '384.r1', '384.s1'], 'core': '384.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [500487, 836121], 'label': '3072.z.192.bf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bf1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bf1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969888
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '192.bg1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.s1', '96.bd1', '96.bu1'], 'contains': ['384.r1', '384.s1'], 'core': '768.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1024279, 836121], 'label': '3072.z.192.bg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bg1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bg1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969889
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '192.bh1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.z1', '96.bi1', '96.bt1', '96.bu1'], 'contains': ['384.s1', '384.bi1'], 'core': '768.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [974861, 49681], 'label': '3072.z.192.bh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bh1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bh1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969890
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '192.bi1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.ba1', '96.bj1', '96.bt1', '96.bu1'], 'contains': ['384.s1', '384.bj1'], 'core': '768.b1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [114955, 311305], 'label': '3072.z.192.bi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bi1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bi1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969891
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '192.bj1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.b1', '96.bv1', '96.bw1', '96.bx1', '96.by1', '96.bz1'], 'contains': ['384.t1', '384.u1', '384.x1', '384.bc1', '384.be1'], 'core': '768.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [557569, 819225, 49665], 'label': '3072.z.192.bj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bj1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bj1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969892
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 48, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1', '6.d1'], 'contains': ['24.a1', '24.j1', '24.j2', '24.n1', '24.n2', '24.bd1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [362949, 516359, 573457, 49665], 'label': '3072.z.12.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.l1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 268969893
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '192.bk1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.b1', '96.ca1', '96.cb1', '96.cc1', '96.cd1', '96.ce1'], 'contains': ['384.t1', '384.v1', '384.w1', '384.bd1', '384.be1'], 'core': '768.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [557569, 311305, 49665], 'label': '3072.z.192.bk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bk1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bk1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969894
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.bl1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bk1', '96.bv1', '96.ca1', '96.cf1'], 'contains': ['384.t1', '384.y1', '384.z1', '384.bk1', '384.bl1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [32785, 557073, 319513], 'label': '3072.z.192.bl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bl1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bl1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969895
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '192.bm1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bl1', '96.bw1', '96.cb1', '96.cf1', '96.cg1'], 'contains': ['384.t1', '384.bf1', '384.bm1', '384.bu1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [229647, 557073, 49665], 'label': '3072.z.192.bm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bm1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bm1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969896
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '192.bn1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bm1', '96.bv1', '96.ca1', '96.cg1'], 'contains': ['384.t1', '384.ba1', '384.bb1', '384.bv1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [32785, 57361, 573457], 'label': '3072.z.192.bn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bn1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bn1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969897
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '192.bo1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.t1', '96.bv1', '96.ch1', '96.ci1', '96.cv1'], 'contains': ['384.u1', '384.y1', '384.ba1'], 'core': '768.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [819225, 319513], 'label': '3072.z.192.bo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bo1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bo1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969898
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.bp1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.t1', '96.bv1', '96.cj1', '96.ck1', '96.cw1'], 'contains': ['384.u1', '384.z1', '384.bb1'], 'core': '768.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [303625, 819225], 'label': '3072.z.192.bp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bp1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bp1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969899
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '192.bq1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.e1', '96.v1', '96.bx1', '96.ch1', '96.cj1', '96.cl1', '96.cm1', '96.cm2'], 'contains': ['384.e1', '384.u1', '384.bg1'], 'core': '384.e1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [705029, 49665], 'label': '3072.z.192.bq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bq1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bq1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969900
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.br1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.e1', '96.x1', '96.bx1', '96.ci1', '96.ck1'], 'contains': ['384.u1', '384.bg1'], 'core': '768.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [164373, 49665], 'label': '3072.z.192.br1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.br1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.br1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969901
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '192.bs1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.z1', '96.by1', '96.ch1', '96.ci1', '96.cj1', '96.ck1', '96.cx1'], 'contains': ['384.u1', '384.bi1'], 'core': '768.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [959005, 573457], 'label': '3072.z.192.bs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bs1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bs1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969902
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '192.bt1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.t1', '96.ca1', '96.cn1', '96.co1', '96.cy1'], 'contains': ['384.v1', '384.y1', '384.bb1'], 'core': '768.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [836105, 319513], 'label': '3072.z.192.bt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bt1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bt1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969903
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '512.7536911', 'aut_weyl_index': 192, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.e1'], 'contains': ['24.v1', '24.w1', '24.z1', '24.ba1', '24.bc1', '24.bf1'], 'core': '48.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1015831, 688149, 319513, 49665], 'label': '3072.z.12.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.m1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.m1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969904
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.bu1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.t1', '96.ca1', '96.cp1', '96.cq1', '96.cz1'], 'contains': ['384.v1', '384.z1', '384.ba1'], 'core': '768.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [303625, 57361], 'label': '3072.z.192.bu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bu1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bu1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969905
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '192.bv1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.f1', '96.w1', '96.cc1', '96.cn1', '96.cp1'], 'contains': ['384.f1', '384.v1', '384.bh1'], 'core': '384.f1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [909587, 49665], 'label': '3072.z.192.bv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bv1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bv1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969906
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.bw1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.f1', '96.y1', '96.cc1', '96.co1', '96.cq1'], 'contains': ['384.v1', '384.bh1'], 'core': '768.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [368899, 49665], 'label': '3072.z.192.bw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bw1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bw1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969907
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '192.bx1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.ba1', '96.ce1', '96.cn1', '96.co1', '96.cp1', '96.cq1', '96.da1'], 'contains': ['384.v1', '384.bj1'], 'core': '768.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [622875, 573457], 'label': '3072.z.192.bx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bx1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bx1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969908
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.by1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bg1', '96.ca1', '96.cr1', '96.cv1'], 'contains': ['384.w1', '384.y1', '384.ba1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [836121, 319513], 'label': '3072.z.192.by1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.by1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.by1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969909
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '192.bz1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bg1', '96.ca1', '96.cs1', '96.cw1'], 'contains': ['384.w1', '384.z1', '384.bb1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [319497, 836121], 'label': '3072.z.192.bz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bz1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969910
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '192.ca1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bi1', '96.cd1', '96.cr1', '96.cs1', '96.cx1'], 'contains': ['384.w1', '384.bi1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [959005, 49665], 'label': '3072.z.192.ca1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.ca1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ca1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969911
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.cb1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bg1', '96.bv1', '96.ct1', '96.cy1'], 'contains': ['384.x1', '384.y1', '384.bb1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [819209, 319513], 'label': '3072.z.192.cb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.cb1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cb1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969912
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '192.cc1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bg1', '96.bv1', '96.cu1', '96.cz1'], 'contains': ['384.x1', '384.z1', '384.ba1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [319497, 57361], 'label': '3072.z.192.cc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.cc1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cc1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969913
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '192.cd1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bj1', '96.bz1', '96.ct1', '96.cu1', '96.da1'], 'contains': ['384.x1', '384.bj1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [622875, 49665], 'label': '3072.z.192.cd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cd1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cd1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969914
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '512.7536911', 'aut_weyl_index': 192, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1'], 'contains': ['24.v1', '24.x1', '24.y1', '24.bb1', '24.bc1', '24.bi1'], 'core': '48.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1015831, 188677, 319513, 49665], 'label': '3072.z.12.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.n1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969915
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '192.ce1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.g1', '96.bk1', '96.cv1', '96.cy1', '96.db1', '96.dc1', '96.dd1'], 'contains': ['384.d1', '384.y1', '384.bn1', '384.br1', '384.bt1'], 'core': '384.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [557073, 319513, 49665], 'label': '3072.z.192.ce1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.ce1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ce1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969916
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.cf1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bk1', '96.cw1', '96.cz1', '96.db1', '96.de1'], 'contains': ['384.d1', '384.z1', '384.bo1', '384.bs1'], 'core': '384.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [303625, 557073, 49665], 'label': '3072.z.192.cf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.cf1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cf1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969917
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.cg1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bm1', '96.cv1', '96.cz1', '96.dc1', '96.de1'], 'contains': ['384.d1', '384.ba1', '384.bp1'], 'core': '384.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [57361, 573457, 49665], 'label': '3072.z.192.cg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.cg1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cg1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969918
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.ch1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.bm1', '96.cw1', '96.cy1', '96.dd1', '96.de1'], 'contains': ['384.d1', '384.bb1', '384.bq1'], 'core': '384.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [41473, 573457, 49665], 'label': '3072.z.192.ch1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.ch1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ch1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969919
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '192.ci1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.u1', '96.bw1', '96.df1', '96.dg1'], 'contains': ['384.bc1', '384.bf1'], 'core': '768.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [229647, 819225], 'label': '3072.z.192.ci1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.ci1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ci1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969920
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.cj1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.v1', '96.bx1', '96.df1', '96.dh1', '96.di1', '96.di2'], 'contains': ['384.e1', '384.bc1', '384.bg1'], 'core': '384.e1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [688149, 32785], 'label': '3072.z.192.cj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.cj1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cj1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969921
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '192.ck1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.x1', '96.bx1', '96.dg1'], 'contains': ['384.bc1', '384.bg1'], 'core': '768.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [705045, 557569], 'label': '3072.z.192.ck1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.ck1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ck1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969922
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '192.cl1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.ba1', '96.bz1', '96.df1', '96.dg1'], 'contains': ['384.bc1', '384.bj1'], 'core': '768.c1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [622875, 819225], 'label': '3072.z.192.cl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cl1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cl1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969923
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '192.cm1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.u1', '96.cb1', '96.dj1', '96.dk1'], 'contains': ['384.bd1', '384.bf1'], 'core': '768.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [770335, 311305], 'label': '3072.z.192.cm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cm1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cm1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969924
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.cn1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.w1', '96.cc1', '96.dj1'], 'contains': ['384.f1', '384.bd1', '384.bh1'], 'core': '384.f1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [893715, 836121], 'label': '3072.z.192.cn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.cn1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cn1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969925
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 96, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.b1', '6.c1', '6.e1'], 'contains': ['24.c1', '24.o1', '24.w1', '24.bd1', '24.bg1', '24.bk1', '24.bm1'], 'core': '24.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [633821, 49681, 319513, 49665], 'label': '3072.z.12.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.o1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 268969926
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '192.co1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.y1', '96.cc1', '96.dk1'], 'contains': ['384.bd1', '384.bh1'], 'core': '768.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [368899, 836121], 'label': '3072.z.192.co1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.co1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.co1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969927
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '192.cp1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.z1', '96.cd1', '96.dj1', '96.dk1'], 'contains': ['384.bd1', '384.bi1'], 'core': '768.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [974861, 557569], 'label': '3072.z.192.cp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cp1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cp1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969928
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '192.cq1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bh1', '96.bw1', '96.cb1', '96.dl1'], 'contains': ['384.be1', '384.bf1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [770335, 836121], 'label': '3072.z.192.cq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cq1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cq1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969929
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '192.cr1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bi1', '96.by1', '96.cd1', '96.dl1'], 'contains': ['384.be1', '384.bi1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [974861, 32785], 'label': '3072.z.192.cr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cr1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cr1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969930
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '192.cs1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bj1', '96.bz1', '96.ce1', '96.dl1'], 'contains': ['384.be1', '384.bj1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [114955, 836121], 'label': '3072.z.192.cs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cs1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cs1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969931
{'ambient': '3072.z', 'aut_centralizer_order': 768, 'aut_label': '192.ct1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '8.2', 'aut_weyl_index': 12288, 'centralizer': '4.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['64.i1', '96.br1', '96.cl1', '96.dh1'], 'contains': ['384.e1'], 'core': '384.e1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [633821], 'label': '3072.z.192.ct1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '192.ct1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ct1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969932
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '192.cu1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.2', 'aut_weyl_index': 12288, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bs1', '96.cm1', '96.cm2', '96.di1', '96.di2'], 'contains': ['384.e1'], 'core': '384.e1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [362949], 'label': '3072.z.192.cu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.l1', 'old_label': '192.cu1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cu1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969933
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '192.cv1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.j1', '96.o1', '96.cf1'], 'contains': ['384.bk1', '384.bm1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1015831, 319513], 'label': '3072.z.192.cv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cv1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cv1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969934
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '192.cw1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.j1', '96.q1', '96.cf1'], 'contains': ['384.bl1', '384.bm1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1015831, 843785], 'label': '3072.z.192.cw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cw1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cw1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969935
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.cx1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.k1', '96.dc1'], 'contains': ['384.bn1', '384.bp1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [319753, 319513], 'label': '3072.z.192.cx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cx1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cx1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969936
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 96, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.b1', '6.d1', '6.e1'], 'contains': ['24.p1', '24.w1', '24.bd1', '24.bh1', '24.bl1', '24.bn1'], 'core': '48.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [641245, 49681, 319513, 49665], 'label': '3072.z.12.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.p1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
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id: 268969937
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.cy1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.k1', '96.dd1'], 'contains': ['384.bn1', '384.bq1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [303897, 319513], 'label': '3072.z.192.cy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cy1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cy1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969938
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '192.cz1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.k1', '96.de1'], 'contains': ['384.bo1', '384.bp1', '384.bq1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [566017, 57361], 'label': '3072.z.192.cz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cz1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cz1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969939
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.da1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.a1', '96.p1', '96.db1'], 'contains': ['384.br1', '384.bs1'], 'core': '768.e1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [566017, 319513], 'label': '3072.z.192.da1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.da1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.da1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969940
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '192.db1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.g1', '96.p1'], 'contains': ['384.br1', '384.bt1'], 'core': '768.e1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [57601, 319513], 'label': '3072.z.192.db1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.db1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.db1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969941
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '192.dc1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.p1', '96.db1'], 'contains': ['384.bs1', '384.bt1'], 'core': '768.e1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [566017, 843785], 'label': '3072.z.192.dc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.dc1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dc1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969942
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '192.dd1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['96.l1', '96.cg1'], 'contains': ['384.bu1', '384.bv1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [1015831, 57361], 'label': '3072.z.192.dd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.dd1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.dd1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969943
{'ambient': '3072.z', 'aut_centralizer_order': 384, 'aut_label': '256.a1', 'aut_quo_index': None, 'aut_stab_index': 64, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['64.b1', '128.c1'], 'contains': ['512.a1', '768.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [516359, 925347, 49681], 'label': '3072.z.256.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '256.a1', 'projective_image': '768.1083570', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969944
{'ambient': '3072.z', 'aut_centralizer_order': 1536, 'aut_label': '256.b1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.c1', '128.b1', '128.c1'], 'contains': ['512.a1', '512.b1', '768.b1'], 'core': '768.b1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [49681, 557073, 925347], 'label': '3072.z.256.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '256.b1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969945
{'ambient': '3072.z', 'aut_centralizer_order': 1536, 'aut_label': '256.c1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.g1', '128.b1', '128.e1'], 'contains': ['512.b1', '768.c1'], 'core': '768.c1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [819225, 925347, 557073], 'label': '3072.z.256.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '256.c1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969946
{'ambient': '3072.z', 'aut_centralizer_order': 1536, 'aut_label': '256.d1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.h1', '128.b1', '128.f1'], 'contains': ['512.b1', '768.d1'], 'core': '768.d1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [836105, 925347, 557073], 'label': '3072.z.256.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '256.d1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969947
{'ambient': '3072.z', 'aut_centralizer_order': 4, 'aut_label': '12.q1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.c1', '6.e1'], 'contains': ['24.c1', '24.q1', '24.ba1', '24.bd1'], 'core': '24.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [362949, 229647, 49665], 'label': '3072.z.12.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.q1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.q1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
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id: 268969948
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '256.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '24.12', 'aut_weyl_index': 4096, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '128.a1', '128.d1'], 'contains': ['768.e1', '1024.a1'], 'core': '768.e1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [925347, 557585, 49665], 'label': '3072.z.256.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '256.e1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.e1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
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id: 268969949
{'ambient': '3072.z', 'aut_centralizer_order': 8192, 'aut_label': '384.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '6.1', 'aut_weyl_index': 16384, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['128.a1', '192.a1', '192.b1', '192.q1', '192.r1', '192.s1'], 'contains': ['768.e1', '768.f1', '768.m1'], 'core': '384.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [49681, 573457, 49665], 'label': '3072.z.384.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.a1', 'normal_contained_in': ['96.a1', '192.a1', '192.b1'], 'normal_contains': ['768.e1', '1536.a1'], 'normalizer': '1.a1', 'old_label': '384.a1', 'projective_image': '1536.408528694', 'quotient_action_image': '3.1', 'quotient_action_kernel': '128.2136', 'quotient_action_kernel_order': 128, 'quotient_fusion': None, 'short_label': '384.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 268969950
{'ambient': '3072.z', 'aut_centralizer_order': 24576, 'aut_label': '384.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.b1', '192.c1', '192.d1', '192.e1', '192.v1', '192.bc1', '192.bd1', '192.be1'], 'contains': ['768.b1', '768.c1', '768.d1'], 'core': '384.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [49681, 819225], 'label': '3072.z.384.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.b1', 'normal_contained_in': ['96.b1', '192.c1', '192.d1', '192.e1'], 'normal_contains': ['768.b1', '768.c1', '768.d1'], 'normalizer': '1.a1', 'old_label': '384.b1', 'projective_image': '384.5746', 'quotient_action_image': '1.1', 'quotient_action_kernel': '384.5746', 'quotient_action_kernel_order': 384, 'quotient_fusion': None, 'short_label': '384.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969951
{'ambient': '3072.z', 'aut_centralizer_order': 12288, 'aut_label': '384.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['128.c1', '192.c1', '192.w1', '192.bf1'], 'contains': ['768.a1', '768.b1'], 'core': '384.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [516359, 557073], 'label': '3072.z.384.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.c1', 'normal_contained_in': ['96.c1', '192.c1'], 'normal_contains': ['768.a1', '768.b1'], 'normalizer': '1.a1', 'old_label': '384.c1', 'projective_image': '384.606', 'quotient_action_image': '1.1', 'quotient_action_kernel': '384.606', 'quotient_action_kernel_order': 384, 'quotient_fusion': None, 'short_label': '384.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969974
{'ambient': '3072.z', 'aut_centralizer_order': 8192, 'aut_label': '384.x1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.g1', '192.y1', '192.bj1', '192.cb1', '192.cc1', '192.cd1'], 'contains': ['768.i1', '768.l1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [295449, 49665], 'label': '3072.z.384.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.x1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.x1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969952
{'ambient': '3072.z', 'aut_centralizer_order': 16384, 'aut_label': '384.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 16384, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.d1', '192.b1', '192.f1', '192.g1', '192.ce1', '192.cf1', '192.cg1', '192.ch1'], 'contains': ['768.e1', '768.i1', '768.n1'], 'core': '384.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [557073, 573457, 49665], 'label': '3072.z.384.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.d1', 'normal_contained_in': ['96.g1', '192.b1', '192.f1', '192.g1'], 'normal_contains': ['768.e1', '1536.b1'], 'normalizer': '1.a1', 'old_label': '384.d1', 'projective_image': '1536.408527673', 'quotient_action_image': '3.1', 'quotient_action_kernel': '128.1601', 'quotient_action_kernel_order': 128, 'quotient_fusion': None, 'short_label': '384.d1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
-
id: 268969953
{'ambient': '3072.z', 'aut_centralizer_order': 12288, 'aut_label': '384.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['128.e1', '192.d1', '192.bq1', '192.cj1', '192.ct1', '192.cu1'], 'contains': ['768.c1'], 'core': '384.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [705029], 'label': '3072.z.384.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.e1', 'normal_contained_in': ['96.e1', '192.d1'], 'normal_contains': ['768.c1'], 'normalizer': '1.a1', 'old_label': '384.e1', 'projective_image': '384.5749', 'quotient_action_image': '1.1', 'quotient_action_kernel': '384.5749', 'quotient_action_kernel_order': 384, 'quotient_fusion': None, 'short_label': '384.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969954
{'ambient': '3072.z', 'aut_centralizer_order': 12288, 'aut_label': '384.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['128.f1', '192.e1', '192.bv1', '192.cn1'], 'contains': ['768.d1'], 'core': '384.f1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [909587], 'label': '3072.z.384.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.f1', 'normal_contained_in': ['96.f1', '192.e1'], 'normal_contains': ['768.d1'], 'normalizer': '1.a1', 'old_label': '384.f1', 'projective_image': '384.606', 'quotient_action_image': '1.1', 'quotient_action_kernel': '384.606', 'quotient_action_kernel_order': 384, 'quotient_fusion': None, 'short_label': '384.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969955
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '384.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.a1', '192.i1', '192.j1', '192.m1', '192.w1'], 'contains': ['768.a1', '768.f1', '768.h1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [516359, 49665], 'label': '3072.z.384.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.g1', 'projective_image': '768.1083570', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969956
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '384.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.a1', '192.k1', '192.l1', '192.m1', '192.x1'], 'contains': ['768.f1', '768.h1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1024279, 49665], 'label': '3072.z.384.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.h1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969957
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '384.i1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.i1', '192.k1', '192.n1', '192.q1', '192.z1'], 'contains': ['768.f1', '768.o1', '768.p1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [49681, 319513], 'label': '3072.z.384.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.i1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969958
{'ambient': '3072.z', 'aut_centralizer_order': 4, 'aut_label': '12.r1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.d1', '6.e1'], 'contains': ['24.r1', '24.ba1', '24.bd1'], 'core': '48.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [641245, 229647, 49665], 'label': '3072.z.12.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.r1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.r1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 268969959
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '384.j1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.j1', '192.l1', '192.n1', '192.r1', '192.z1'], 'contains': ['768.f1', '768.p1', '768.q1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [49681, 843785], 'label': '3072.z.384.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.j1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969960
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '384.k1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['192.i1', '192.j1', '192.k1', '192.l1', '192.o1', '192.s1', '192.ba1'], 'contains': ['768.f1', '768.r1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [229647, 573457], 'label': '3072.z.384.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.k1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969961
{'ambient': '3072.z', 'aut_centralizer_order': 8192, 'aut_label': '384.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.b1', '192.m1', '192.n1', '192.o1', '192.o2', '192.p1'], 'contains': ['768.f1', '768.g1', '768.m1', '768.n1', '768.s1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [49681, 49153, 49665], 'label': '3072.z.384.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.l1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969962
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '384.m1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.m1', '192.t1', '192.w1'], 'contains': ['768.a1', '768.g1', '768.h1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [500487, 573969], 'label': '3072.z.384.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.m1', 'projective_image': '768.1083570', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.m1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969963
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '384.n1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.m1', '192.u1', '192.x1'], 'contains': ['768.g1', '768.h1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1024279, 573969], 'label': '3072.z.384.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.n1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.n1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969964
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '384.o1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.o2', '192.t1', '192.u1', '192.ba1'], 'contains': ['768.g1', '768.r1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [770335, 49153], 'label': '3072.z.384.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '384.o1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.o1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969965
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '384.p1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.p1', '192.t1', '192.u1', '192.bb1'], 'contains': ['768.g1', '768.t1', '768.u1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [49681, 57361], 'label': '3072.z.384.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '384.p1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.p1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969966
{'ambient': '3072.z', 'aut_centralizer_order': 16384, 'aut_label': '384.q1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.b1', '192.v1', '192.w1', '192.x1', '192.y1', '192.z1', '192.ba1', '192.bb1'], 'contains': ['768.b1', '768.f1', '768.g1', '768.i1', '768.j1'], 'core': '768.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [49681, 557073, 49665], 'label': '3072.z.384.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.q1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.q1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969967
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '384.r1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.w1', '192.x1', '192.bc1', '192.bf1', '192.bg1'], 'contains': ['768.b1', '768.h1'], 'core': '768.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [500487, 557073], 'label': '3072.z.384.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.r1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.r1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969968
{'ambient': '3072.z', 'aut_centralizer_order': 8192, 'aut_label': '384.s1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.v1', '192.y1', '192.bf1', '192.bg1', '192.bh1', '192.bi1'], 'contains': ['768.b1', '768.k1', '768.l1'], 'core': '768.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [49681, 836121], 'label': '3072.z.384.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.s1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.s1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969969
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '12.s1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.7532443', 'aut_weyl_index': 192, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.b1'], 'contains': ['24.bj1', '24.bk1', '24.bl1', '24.bm1', '24.bn1'], 'core': '48.g1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [641245, 566017, 319513], 'label': '3072.z.12.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.s1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.s1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
-
id: 268969970
{'ambient': '3072.z', 'aut_centralizer_order': 8192, 'aut_label': '384.t1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.b1', '192.bj1', '192.bk1', '192.bl1', '192.bm1', '192.bn1'], 'contains': ['768.i1', '768.j1', '768.m1', '768.s1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [557569, 557073, 49665], 'label': '3072.z.384.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.t1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.t1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969971
{'ambient': '3072.z', 'aut_centralizer_order': 16384, 'aut_label': '384.u1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.f1', '192.v1', '192.bj1', '192.bo1', '192.bp1', '192.bq1', '192.br1', '192.bs1'], 'contains': ['768.c1', '768.i1', '768.k1'], 'core': '768.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [819225, 49665], 'label': '3072.z.384.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.u1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.u1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969972
{'ambient': '3072.z', 'aut_centralizer_order': 16384, 'aut_label': '384.v1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.g1', '192.v1', '192.bk1', '192.bt1', '192.bu1', '192.bv1', '192.bw1', '192.bx1'], 'contains': ['768.d1', '768.i1', '768.l1'], 'core': '768.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [836105, 49665], 'label': '3072.z.384.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.v1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.v1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969973
{'ambient': '3072.z', 'aut_centralizer_order': 8192, 'aut_label': '384.w1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.f1', '192.y1', '192.bk1', '192.by1', '192.bz1', '192.ca1'], 'contains': ['768.i1', '768.k1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [311305, 49665], 'label': '3072.z.384.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.w1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.w1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969975
{'ambient': '3072.z', 'aut_centralizer_order': 8192, 'aut_label': '384.y1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.z1', '192.bl1', '192.bo1', '192.bt1', '192.by1', '192.cb1', '192.ce1'], 'contains': ['768.i1', '768.o1', '768.q1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [557073, 319513], 'label': '3072.z.384.y1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.y1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.y1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969976
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '384.z1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.z1', '192.bl1', '192.bp1', '192.bu1', '192.bz1', '192.cc1', '192.cf1'], 'contains': ['768.i1', '768.p1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [303625, 557073], 'label': '3072.z.384.z1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.z1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.z1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969977
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '384.ba1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.bb1', '192.bn1', '192.bo1', '192.bu1', '192.by1', '192.cc1', '192.cg1'], 'contains': ['768.i1', '768.t1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [57361, 573457], 'label': '3072.z.384.ba1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.ba1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.ba1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969978
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '384.bb1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.bb1', '192.bn1', '192.bp1', '192.bt1', '192.bz1', '192.cb1', '192.ch1'], 'contains': ['768.i1', '768.u1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [41473, 573457], 'label': '3072.z.384.bb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.bb1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bb1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969979
{'ambient': '3072.z', 'aut_centralizer_order': 8192, 'aut_label': '384.bc1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.v1', '192.bj1', '192.ci1', '192.cj1', '192.ck1', '192.cl1'], 'contains': ['768.c1', '768.j1', '768.l1'], 'core': '768.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [32785, 819225], 'label': '3072.z.384.bc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.bc1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bc1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969980
{'ambient': '3072.z', 'aut_centralizer_order': 4, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '24.a1', 'complements': ['1024.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '6.c1', '6.d1', '6.e1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [633821, 516359, 319513, 581905], 'label': '3072.z.3.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1', '12.b1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '96.72', 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
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id: 268969981
{'ambient': '3072.z', 'aut_centralizer_order': 32, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '768.1088546', 'aut_weyl_index': 128, 'centralizer': '96.d1', 'complements': ['192.ct1', '192.cu1'], 'conjugacy_class_count': 4, 'contained_in': ['8.b1'], 'contains': ['32.a1', '48.a1', '64.b1'], 'core': '16.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [516359, 557585, 41217, 925347, 49665, 49681, 835849], 'label': '3072.z.16.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1', 'normal_contained_in': ['8.b1'], 'normal_contains': ['32.a1', '48.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '768.1083570', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
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id: 268969982
{'ambient': '3072.z', 'aut_centralizer_order': 8192, 'aut_label': '384.bd1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.v1', '192.bk1', '192.cm1', '192.cn1', '192.co1', '192.cp1'], 'contains': ['768.d1', '768.j1', '768.k1'], 'core': '768.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [32785, 836121], 'label': '3072.z.384.bd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.bd1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bd1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969983
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '384.be1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.y1', '192.bj1', '192.bk1', '192.cq1', '192.cr1', '192.cs1'], 'contains': ['768.j1', '768.k1', '768.l1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [557569, 836121], 'label': '3072.z.384.be1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.be1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.be1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969984
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '384.bf1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.ba1', '192.bm1', '192.ci1', '192.cm1', '192.cq1'], 'contains': ['768.j1', '768.r1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [229647, 557073], 'label': '3072.z.384.bf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '384.bf1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bf1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969985
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '384.bg1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.bd1', '192.bq1', '192.br1', '192.cj1', '192.ck1'], 'contains': ['768.c1'], 'core': '768.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [688133], 'label': '3072.z.384.bg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.bg1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bg1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969986
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '384.bh1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.be1', '192.bv1', '192.bw1', '192.cn1', '192.co1'], 'contains': ['768.d1'], 'core': '768.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [893715], 'label': '3072.z.384.bh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.bh1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bh1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969987
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '384.bi1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.bh1', '192.bs1', '192.ca1', '192.cp1', '192.cr1'], 'contains': ['768.k1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [959005], 'label': '3072.z.384.bi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '384.bi1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bi1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969988
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '384.bj1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.bi1', '192.bx1', '192.cd1', '192.cl1', '192.cs1'], 'contains': ['768.l1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [622875], 'label': '3072.z.384.bj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '384.bj1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bj1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969989
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '384.bk1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.n1', '192.q1', '192.bl1', '192.cv1'], 'contains': ['768.m1', '768.o1', '768.p1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32785, 319513], 'label': '3072.z.384.bk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.bk1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bk1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268969990
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '384.bl1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.n1', '192.r1', '192.bl1', '192.cw1'], 'contains': ['768.m1', '768.p1', '768.q1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [32785, 843785], 'label': '3072.z.384.bl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.bl1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bl1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969991
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '384.bm1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['192.o2', '192.s1', '192.bm1', '192.cv1', '192.cw1'], 'contains': ['768.m1', '768.r1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [229647, 49665], 'label': '3072.z.384.bm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '384.bm1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bm1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268969992
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '16.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '768.1088546', 'aut_weyl_index': 128, 'centralizer': '96.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1'], 'contains': ['32.a1', '32.b1', '48.e1', '64.c1'], 'core': '16.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [49681, 557585, 41217, 557073, 49665, 925347, 835849], 'label': '3072.z.16.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.b1'], 'normal_contains': ['32.a1', '32.b1', '48.e1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
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id: 268969993
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '384.bn1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.n1', '192.ce1', '192.cx1', '192.cy1'], 'contains': ['768.n1', '768.o1', '768.q1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [573969, 319513], 'label': '3072.z.384.bn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.bn1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bn1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969994
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '384.bo1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.n1', '192.cf1', '192.cz1'], 'contains': ['768.n1', '768.p1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [303625, 573969], 'label': '3072.z.384.bo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.bo1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bo1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969995
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '384.bp1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.p1', '192.cg1', '192.cx1', '192.cz1'], 'contains': ['768.n1', '768.t1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [57361, 49665], 'label': '3072.z.384.bp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '384.bp1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bp1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969996
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '384.bq1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.p1', '192.ch1', '192.cy1', '192.cz1'], 'contains': ['768.n1', '768.u1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [41473, 49665], 'label': '3072.z.384.bq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '384.bq1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bq1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268969997
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '384.br1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.h1', '192.q1', '192.ce1', '192.da1', '192.db1'], 'contains': ['768.e1', '768.o1'], 'core': '768.e1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [319513, 49665], 'label': '3072.z.384.br1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.br1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.br1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969998
{'ambient': '3072.z', 'aut_centralizer_order': 2048, 'aut_label': '384.bs1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.q1', '192.r1', '192.cf1', '192.da1', '192.dc1'], 'contains': ['768.e1', '768.p1'], 'core': '768.e1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [303625, 49665], 'label': '3072.z.384.bs1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.bs1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bs1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268969999
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '384.bt1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12288, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.r1', '192.ce1', '192.db1', '192.dc1'], 'contains': ['768.e1', '768.q1'], 'core': '768.e1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [843785, 49665], 'label': '3072.z.384.bt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.bt1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bt1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970000
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '384.bu1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['192.o1', '192.o2', '192.bm1', '192.dd1'], 'contains': ['768.r1', '768.s1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [770335, 573969], 'label': '3072.z.384.bu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '384.bu1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bu1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970001
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '384.bv1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.p1', '192.bn1', '192.dd1'], 'contains': ['768.s1', '768.t1', '768.u1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [32785, 57361], 'label': '3072.z.384.bv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '384.bv1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.bv1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970002
{'ambient': '3072.z', 'aut_centralizer_order': 1536, 'aut_label': '512.a1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['128.a1', '256.a1', '256.b1'], 'contains': ['1024.a1', '1536.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [49681, 925347], 'label': '3072.z.512.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '512.a1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970003
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '16.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '768.1088546', 'aut_weyl_index': 128, 'centralizer': '96.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.c1'], 'contains': ['32.b1', '48.f1', '64.g1'], 'core': '16.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [819225, 557585, 41217, 925347, 49665, 557073, 835849], 'label': '3072.z.16.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1', 'normal_contained_in': ['8.a1', '8.c1'], 'normal_contains': ['32.b1', '48.f1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '768.1083588', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
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id: 268970004
{'ambient': '3072.z', 'aut_centralizer_order': 3072, 'aut_label': '512.b1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.d1', '256.b1', '256.c1', '256.d1'], 'contains': ['1024.a1', '1536.b1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [557073, 925347], 'label': '3072.z.512.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '512.b1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970005
{'ambient': '3072.z', 'aut_centralizer_order': 12288, 'aut_label': '768.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '1.a1', 'complements': ['4.d1'], 'conjugacy_class_count': 4, 'contained_in': ['256.a1', '384.c1', '384.g1', '384.m1'], 'contains': ['1536.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [516359], 'label': '3072.z.768.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.a1', 'normal_contained_in': ['192.a1', '384.c1'], 'normal_contains': ['1536.a1'], 'normalizer': '1.a1', 'old_label': '768.a1', 'projective_image': '768.1083570', 'quotient_action_image': '1.1', 'quotient_action_kernel': '768.1083570', 'quotient_action_kernel_order': 768, 'quotient_fusion': None, 'short_label': '768.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970006
{'ambient': '3072.z', 'aut_centralizer_order': 49152, 'aut_label': '768.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['256.b1', '384.b1', '384.c1', '384.q1', '384.r1', '384.s1'], 'contains': ['1536.a1', '1536.b1'], 'core': '768.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [49681, 557073], 'label': '3072.z.768.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.b1', 'normal_contained_in': ['192.b1', '384.b1', '384.c1'], 'normal_contains': ['1536.a1', '1536.b1'], 'normalizer': '1.a1', 'old_label': '768.b1', 'projective_image': '768.1083848', 'quotient_action_image': '1.1', 'quotient_action_kernel': '768.1083848', 'quotient_action_kernel_order': 768, 'quotient_fusion': None, 'short_label': '768.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970007
{'ambient': '3072.z', 'aut_centralizer_order': 49152, 'aut_label': '768.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['256.c1', '384.b1', '384.e1', '384.u1', '384.bc1', '384.bg1'], 'contains': ['1536.b1'], 'core': '768.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [819225], 'label': '3072.z.768.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.c1', 'normal_contained_in': ['192.f1', '384.b1', '384.e1'], 'normal_contains': ['1536.b1'], 'normalizer': '1.a1', 'old_label': '768.c1', 'projective_image': '768.1083588', 'quotient_action_image': '1.1', 'quotient_action_kernel': '768.1083588', 'quotient_action_kernel_order': 768, 'quotient_fusion': None, 'short_label': '768.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970008
{'ambient': '3072.z', 'aut_centralizer_order': 49152, 'aut_label': '768.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['256.d1', '384.b1', '384.f1', '384.v1', '384.bd1', '384.bh1'], 'contains': ['1536.b1'], 'core': '768.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [836105], 'label': '3072.z.768.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.d1', 'normal_contained_in': ['192.g1', '384.b1', '384.f1'], 'normal_contains': ['1536.b1'], 'normalizer': '1.a1', 'old_label': '768.d1', 'projective_image': '768.1083848', 'quotient_action_image': '1.1', 'quotient_action_kernel': '768.1083848', 'quotient_action_kernel_order': 768, 'quotient_fusion': None, 'short_label': '768.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970009
{'ambient': '3072.z', 'aut_centralizer_order': 16384, 'aut_label': '768.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 16384, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['256.e1', '384.a1', '384.d1', '384.br1', '384.bs1', '384.bt1'], 'contains': ['1536.c1'], 'core': '768.e1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [573457, 49665], 'label': '3072.z.768.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.e1', 'normal_contained_in': ['192.h1', '384.a1', '384.d1'], 'normal_contains': ['3072.a1'], 'normalizer': '1.a1', 'old_label': '768.e1', 'projective_image': '3072.z', 'quotient_action_image': '3.1', 'quotient_action_kernel': '256.26308', 'quotient_action_kernel_order': 256, 'quotient_fusion': None, 'short_label': '768.e1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
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id: 268970010
{'ambient': '3072.z', 'aut_centralizer_order': 16384, 'aut_label': '768.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 98304, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['384.a1', '384.g1', '384.h1', '384.i1', '384.j1', '384.k1', '384.l1', '384.q1'], 'contains': ['1536.a1', '1536.c1', '1536.d1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [49681, 49665], 'label': '3072.z.768.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '768.f1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970011
{'ambient': '3072.z', 'aut_centralizer_order': 16384, 'aut_label': '768.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 98304, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['384.l1', '384.m1', '384.n1', '384.o1', '384.p1', '384.q1'], 'contains': ['1536.a1', '1536.d1', '1536.e1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [49681, 573969], 'label': '3072.z.768.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '768.g1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970012
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '768.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['384.g1', '384.h1', '384.m1', '384.n1', '384.r1'], 'contains': ['1536.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [500487], 'label': '3072.z.768.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '768.h1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268970013
{'ambient': '3072.z', 'aut_centralizer_order': 32768, 'aut_label': '768.i1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 98304, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['384.d1', '384.q1', '384.t1', '384.u1', '384.v1', '384.w1', '384.x1', '384.y1', '384.z1', '384.ba1', '384.bb1'], 'contains': ['1536.b1', '1536.c1', '1536.e1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [557073, 49665], 'label': '3072.z.768.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '768.i1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268970014
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '16.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '768.1088546', 'aut_weyl_index': 128, 'centralizer': '96.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.d1'], 'contains': ['32.b1', '48.h1', '64.h1'], 'core': '16.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [836105, 557585, 41217, 925347, 49665, 557073, 835849], 'label': '3072.z.16.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1', 'normal_contained_in': ['8.a1', '8.d1'], 'normal_contains': ['32.b1', '48.h1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': '768.1083848', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
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id: 268970015
{'ambient': '3072.z', 'aut_centralizer_order': 16384, 'aut_label': '768.j1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['384.q1', '384.t1', '384.bc1', '384.bd1', '384.be1', '384.bf1'], 'contains': ['1536.b1', '1536.d1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [32785, 557073], 'label': '3072.z.768.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '768.j1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970016
{'ambient': '3072.z', 'aut_centralizer_order': 16384, 'aut_label': '768.k1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['384.s1', '384.u1', '384.w1', '384.bd1', '384.be1', '384.bi1'], 'contains': ['1536.b1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [836121], 'label': '3072.z.768.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '768.k1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970017
{'ambient': '3072.z', 'aut_centralizer_order': 16384, 'aut_label': '768.l1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['384.s1', '384.v1', '384.x1', '384.bc1', '384.be1', '384.bj1'], 'contains': ['1536.b1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [819209], 'label': '3072.z.768.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '768.l1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268970018
{'ambient': '3072.z', 'aut_centralizer_order': 8192, 'aut_label': '768.m1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['384.a1', '384.l1', '384.t1', '384.bk1', '384.bl1', '384.bm1'], 'contains': ['1536.c1', '1536.d1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [557569, 49665], 'label': '3072.z.768.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '768.m1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.m1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268970019
{'ambient': '3072.z', 'aut_centralizer_order': 16384, 'aut_label': '768.n1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['384.d1', '384.l1', '384.bn1', '384.bo1', '384.bp1', '384.bq1'], 'contains': ['1536.c1', '1536.e1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [49153, 49665], 'label': '3072.z.768.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '768.n1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.n1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268970020
{'ambient': '3072.z', 'aut_centralizer_order': 8192, 'aut_label': '768.o1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['384.i1', '384.y1', '384.bk1', '384.bn1', '384.br1'], 'contains': ['1536.c1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [319513], 'label': '3072.z.768.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '768.o1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.o1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268970021
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '768.p1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['384.i1', '384.j1', '384.z1', '384.bk1', '384.bl1', '384.bo1', '384.bs1'], 'contains': ['1536.c1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [303625], 'label': '3072.z.768.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '768.p1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.p1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268970022
{'ambient': '3072.z', 'aut_centralizer_order': 8192, 'aut_label': '768.q1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['384.j1', '384.y1', '384.bl1', '384.bn1', '384.bt1'], 'contains': ['1536.c1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [843785], 'label': '3072.z.768.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '768.q1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.q1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268970023
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '768.r1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['384.k1', '384.o1', '384.bf1', '384.bm1', '384.bu1'], 'contains': ['1536.d1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [229647], 'label': '3072.z.768.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '768.r1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.r1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268970024
{'ambient': '3072.z', 'aut_centralizer_order': 8192, 'aut_label': '768.s1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['384.l1', '384.t1', '384.bu1', '384.bv1'], 'contains': ['1536.d1', '1536.e1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [557569, 573969], 'label': '3072.z.768.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '768.s1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.s1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268970025
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.20051', 'aut_weyl_index': 256, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '8.e1'], 'contains': ['32.c1', '32.d1', '48.b1', '64.d1'], 'core': '48.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [516359, 557585, 557073, 819225, 49665, 925347, 49681], 'label': '3072.z.16.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '16.e1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
-
id: 268970026
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '768.t1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['384.p1', '384.ba1', '384.bp1', '384.bv1'], 'contains': ['1536.e1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [57361], 'label': '3072.z.768.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '768.t1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.t1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268970027
{'ambient': '3072.z', 'aut_centralizer_order': 4096, 'aut_label': '768.u1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['384.p1', '384.bb1', '384.bq1', '384.bv1'], 'contains': ['1536.e1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [41473], 'label': '3072.z.768.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '768.u1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.u1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268970028
{'ambient': '3072.z', 'aut_centralizer_order': 3072, 'aut_label': '1024.a1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['256.e1', '512.a1', '512.b1'], 'contains': ['3072.a1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [925347], 'label': '3072.z.1024.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '1024.a1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1024.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268970029
{'ambient': '3072.z', 'aut_centralizer_order': 49152, 'aut_label': '1536.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 98304, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['512.a1', '768.a1', '768.b1', '768.f1', '768.g1', '768.h1'], 'contains': ['3072.a1'], 'core': '1536.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [49681], 'label': '3072.z.1536.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.a1', 'normal_contained_in': ['384.a1', '768.a1', '768.b1'], 'normal_contains': ['3072.a1'], 'normalizer': '1.a1', 'old_label': '1536.a1', 'projective_image': '1536.408528694', 'quotient_action_image': '1.1', 'quotient_action_kernel': '1536.408528694', 'quotient_action_kernel_order': 1536, 'quotient_fusion': None, 'short_label': '1536.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268970030
{'ambient': '3072.z', 'aut_centralizer_order': 98304, 'aut_label': '1536.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 98304, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['512.b1', '768.b1', '768.c1', '768.d1', '768.i1', '768.j1', '768.k1', '768.l1'], 'contains': ['3072.a1'], 'core': '1536.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [557073], 'label': '3072.z.1536.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1536.b1', 'normal_contained_in': ['384.d1', '768.b1', '768.c1', '768.d1'], 'normal_contains': ['3072.a1'], 'normalizer': '1.a1', 'old_label': '1536.b1', 'projective_image': '1536.408527673', 'quotient_action_image': '1.1', 'quotient_action_kernel': '1536.408527673', 'quotient_action_kernel_order': 1536, 'quotient_fusion': None, 'short_label': '1536.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268970031
{'ambient': '3072.z', 'aut_centralizer_order': 32768, 'aut_label': '1536.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 98304, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['768.e1', '768.f1', '768.i1', '768.m1', '768.n1', '768.o1', '768.p1', '768.q1'], 'contains': ['3072.a1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [49665], 'label': '3072.z.1536.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '768.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '1536.c1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268970032
{'ambient': '3072.z', 'aut_centralizer_order': 16384, 'aut_label': '1536.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 98304, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['768.f1', '768.g1', '768.j1', '768.m1', '768.r1', '768.s1'], 'contains': ['3072.a1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [32785], 'label': '3072.z.1536.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '1536.d1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268970033
{'ambient': '3072.z', 'aut_centralizer_order': 32768, 'aut_label': '1536.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 98304, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['768.g1', '768.i1', '768.n1', '768.s1', '768.t1', '768.u1'], 'contains': ['3072.a1'], 'core': '3072.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [573969], 'label': '3072.z.1536.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '384.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '1536.e1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268970034
{'ambient': '3072.z', 'aut_centralizer_order': None, 'aut_label': '3072.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1024.a1', '1536.a1', '1536.b1', '1536.c1', '1536.d1', '1536.e1'], 'contains': [], 'core': '3072.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '3072.z.3072.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3072.a1', 'normal_contained_in': ['768.e1', '1536.a1', '1536.b1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '3072.a1', 'projective_image': '3072.z', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3072.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970035
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.20051', 'aut_weyl_index': 256, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '8.e1', '8.f1'], 'contains': ['32.c1', '32.g1', '48.c1', '64.e1'], 'core': '48.c1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [688149, 557585, 557073, 49681, 49665, 925347, 819225], 'label': '3072.z.16.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '16.f1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
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id: 268970036
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '384.20051', 'aut_weyl_index': 256, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '8.e1'], 'contains': ['32.c1', '32.h1', '48.d1', '64.f1'], 'core': '48.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [909587, 557585, 557073, 819225, 49665, 925347, 836105], 'label': '3072.z.16.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '16.g1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
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id: 268970037
{'ambient': '3072.z', 'aut_centralizer_order': 12, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '512.6338937', 'aut_weyl_index': 192, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1'], 'contains': ['32.e1', '32.f1', '48.bq1'], 'core': '96.d1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [633821, 819225, 49681, 516359, 557073, 925347, 688149], 'label': '3072.z.16.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '16.h1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970038
{'ambient': '3072.z', 'aut_centralizer_order': 32, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '192.1469', 'aut_weyl_index': 512, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.d1', '8.f1'], 'contains': ['32.g1', '48.g1', '64.i1'], 'core': '48.g1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [633821, 557585, 557073, 925347, 49665, 688149, 819225], 'label': '3072.z.16.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '16.i1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
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id: 268970039
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.18491', 'aut_weyl_index': 256, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1', '12.b1', '12.j1', '12.l1'], 'contains': ['48.b1', '48.c1', '48.d1', '48.l1', '48.m1', '48.p1', '48.q1'], 'core': '24.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [516359, 688149, 573457, 49665], 'label': '3072.z.24.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': ['6.a1', '12.b1'], 'normal_contains': ['48.b1', '48.c1', '48.d1', '96.d1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '96.72', 'quotient_action_image': '3.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
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id: 268970040
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '96.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.b1', '12.a1', '16.e1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [516359, 49665, 557073, 835849, 819225, 49681, 557585, 41217, 925347], 'label': '3072.z.4.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '8.b1', '12.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
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id: 268970041
{'ambient': '3072.z', 'aut_centralizer_order': 1024, 'aut_label': '24.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '96.219', 'aut_weyl_index': 1024, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '12.a1', '12.c1', '12.d1'], 'contains': ['48.e1', '48.f1', '48.h1', '48.bh1', '48.bo1', '48.ck1', '48.cq1'], 'core': '24.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [49681, 819225, 319513, 581905], 'label': '3072.z.24.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': ['8.a1', '12.a1', '12.c1', '12.d1'], 'normal_contains': ['48.e1', '48.f1', '48.h1', '96.b1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '384.5746', 'quotient_action_image': '6.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
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id: 268970042
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '24.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '768.1090150', 'aut_weyl_index': 128, 'centralizer': '12.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.f1', '12.b1', '12.o1', '12.q1'], 'contains': ['48.c1', '48.g1', '48.ba1', '48.bz1'], 'core': '24.c1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [633821, 49681, 573457, 49665], 'label': '3072.z.24.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1', 'normal_contained_in': ['6.b1', '12.b1'], 'normal_contains': ['48.c1', '48.g1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '192.1002', 'quotient_action_image': '12.3', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
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id: 268970043
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '24.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '96.219', 'aut_weyl_index': 1024, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '12.a1'], 'contains': ['48.a1', '48.e1', '48.j1', '48.bl1', '48.bn1'], 'core': '24.d1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [516359, 557073, 319513, 581905], 'label': '3072.z.24.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1', 'normal_contained_in': ['8.b1', '12.a1'], 'normal_contains': ['48.a1', '48.e1', '96.c1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': '384.606', 'quotient_action_image': '6.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
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id: 268970044
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '24.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '96.219', 'aut_weyl_index': 1024, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '12.c1', '12.e1'], 'contains': ['48.f1', '48.cl1', '48.cm1'], 'core': '24.e1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [705029, 319513, 581905], 'label': '3072.z.24.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1', 'normal_contained_in': ['8.c1', '12.c1', '12.e1'], 'normal_contains': ['48.f1', '96.e1'], 'normalizer': '1.a1', 'old_label': '24.e1', 'projective_image': '384.5749', 'quotient_action_image': '6.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '24.e1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
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id: 268970045
{'ambient': '3072.z', 'aut_centralizer_order': 512, 'aut_label': '24.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '96.219', 'aut_weyl_index': 1024, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '12.d1'], 'contains': ['48.h1', '48.cr1', '48.cs1'], 'core': '24.f1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [909587, 319513, 581905], 'label': '3072.z.24.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1', 'normal_contained_in': ['8.d1', '12.d1'], 'normal_contains': ['48.h1', '96.f1'], 'normalizer': '1.a1', 'old_label': '24.f1', 'projective_image': '384.606', 'quotient_action_image': '6.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '24.f1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
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id: 268970046
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.f1', '12.g1', '12.j1'], 'contains': ['48.k1', '48.l1', '48.n1', '48.s1', '48.t1', '48.w1', '48.x1'], 'core': '96.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [516359, 688149, 319513], 'label': '3072.z.24.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.g1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970047
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55643', 'aut_weyl_index': 384, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.j1'], 'contains': ['48.k1', '48.m1', '48.n1', '48.u1', '48.v1', '48.y1', '48.z1'], 'core': '192.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [516359, 705045, 319513], 'label': '3072.z.24.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.h1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970048
{'ambient': '3072.z', 'aut_centralizer_order': 32, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.6338937', 'aut_weyl_index': 192, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1', '12.f1'], 'contains': ['48.l1', '48.ba1', '48.bq1', '48.bs1'], 'core': '96.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [633821, 516359, 49665], 'label': '3072.z.24.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1', 'old_label': '24.i1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970049
{'ambient': '3072.z', 'aut_centralizer_order': 32, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.6338937', 'aut_weyl_index': 192, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1', '12.l1'], 'contains': ['48.l1', '48.bb1', '48.br1', '48.bt1'], 'core': '96.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [362949, 516359, 573457], 'label': '3072.z.24.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1', 'old_label': '24.j1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970050
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '24.j2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6338937', 'aut_weyl_index': 192, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.g1', '12.l1'], 'contains': ['48.l1', '48.bb2', '48.br1', '48.bt2'], 'core': '96.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [362949, 516359, 49665], 'label': '3072.z.24.j2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.j2', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970051
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '4.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '96.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.a1', '8.c1', '12.c1', '16.f1'], 'core': '4.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [688149, 49665, 557073, 835849, 49681, 819225, 557585, 41217, 925347], 'label': '3072.z.4.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.a1', '8.c1', '12.c1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
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id: 268970052
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55643', 'aut_weyl_index': 384, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.h1', '12.i1', '12.j1'], 'contains': ['48.o1', '48.p1', '48.r1', '48.s1', '48.v1', '48.w1', '48.z1'], 'core': '192.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [500487, 688149, 319513], 'label': '3072.z.24.k1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.k1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268970053
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55643', 'aut_weyl_index': 384, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.j1'], 'contains': ['48.o1', '48.q1', '48.r1', '48.t1', '48.u1', '48.x1', '48.y1'], 'core': '192.e1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [500487, 705045, 319513], 'label': '3072.z.24.l1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.l1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970054
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1024.dmo', 'aut_weyl_index': 96, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1', '12.h1'], 'contains': ['48.p1', '48.ba1', '48.bs1'], 'core': '192.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [125901, 1024279, 49665], 'label': '3072.z.24.m1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1', 'old_label': '24.m1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268970055
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1024.dmo', 'aut_weyl_index': 96, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1', '12.l1'], 'contains': ['48.p1', '48.bb1', '48.bt2'], 'core': '192.d1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [379845, 500487, 573457], 'label': '3072.z.24.n1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1', 'old_label': '24.n1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.n1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970056
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '24.n2', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.6338937', 'aut_weyl_index': 192, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.i1', '12.l1'], 'contains': ['48.p1', '48.bb2', '48.bt1', '48.bt2'], 'core': '192.d1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [903637, 1024279, 49665], 'label': '3072.z.24.n2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.n2', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.n2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970057
{'ambient': '3072.z', 'aut_centralizer_order': 32, 'aut_label': '24.o1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.2322', 'aut_weyl_index': 768, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.f1', '12.h1', '12.o1'], 'contains': ['48.s1', '48.ba1', '48.bb1', '48.cg1', '48.ci1'], 'core': '192.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [633821, 49681, 319513], 'label': '3072.z.24.o1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1', 'old_label': '24.o1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.o1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 268970058
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '24.p1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '256.55689', 'aut_weyl_index': 384, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.g1', '12.i1', '12.p1'], 'contains': ['48.s1', '48.bb2', '48.ch1', '48.cj1'], 'core': '192.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [641245, 49681, 319513], 'label': '3072.z.24.p1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.p1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.p1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 268970059
{'ambient': '3072.z', 'aut_centralizer_order': 8, 'aut_label': '24.q1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '512.10493086', 'aut_weyl_index': 192, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.f1', '12.h1', '12.q1'], 'contains': ['48.w1', '48.ba1', '48.bb1'], 'core': '192.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [362949, 229647], 'label': '3072.z.24.q1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1', 'old_label': '24.q1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.q1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 268970060
{'ambient': '3072.z', 'aut_centralizer_order': 4, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '1024.dmo', 'aut_weyl_index': 96, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.g1', '12.i1', '12.r1'], 'contains': ['48.w1', '48.bb2'], 'core': '192.d1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [641245, 229647], 'label': '3072.z.24.r1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.r1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.r1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 268970061
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '24.s1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.267', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.k1'], 'contains': ['48.bc1', '48.bd1', '48.be1', '48.bf1', '48.bg1'], 'core': '384.c1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [516359, 188677, 319513], 'label': '3072.z.24.s1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.s1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.s1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970062
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '96.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.d1', '12.d1', '16.g1'], 'core': '4.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [909587, 49665, 557073, 835849, 819225, 836105, 557585, 41217, 925347], 'label': '3072.z.4.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '8.d1', '12.d1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
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id: 268970063
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '24.t1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2194', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '12.j1', '12.k1'], 'contains': ['48.b1', '48.k1', '48.o1', '48.bc1', '48.bh1', '48.bi1', '48.bl1', '48.bm1'], 'core': '48.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [516359, 819225, 319513, 49665], 'label': '3072.z.24.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.t1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.t1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970064
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '24.u1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '512.7536911', 'aut_weyl_index': 192, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.j1', '12.k1'], 'contains': ['48.b1', '48.n1', '48.r1', '48.bd1', '48.bj1', '48.bk1'], 'core': '48.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [516359, 974861, 573457, 49665], 'label': '3072.z.24.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.u1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.u1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970065
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '24.v1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2194', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '12.m1', '12.n1'], 'contains': ['48.bh1', '48.bi1', '48.bn1', '48.bp1', '48.bu1', '48.cb1'], 'core': '96.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1015831, 819225, 319513, 49665], 'label': '3072.z.24.v1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.v1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.v1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970066
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '24.w1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2194', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '12.j1', '12.m1', '12.o1', '12.p1'], 'contains': ['48.c1', '48.s1', '48.u1', '48.bh1', '48.bj1', '48.bv1', '48.cl1', '48.cn1'], 'core': '48.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [688149, 49681, 319513, 49665], 'label': '3072.z.24.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.w1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.w1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970067
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '24.x1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2194', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.j1', '12.n1'], 'contains': ['48.d1', '48.t1', '48.v1', '48.bh1', '48.bk1', '48.cc1', '48.cr1', '48.ct1'], 'core': '48.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [909587, 819225, 319513, 49665], 'label': '3072.z.24.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.x1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.x1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970068
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '24.y1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2194', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '12.k1', '12.n1'], 'contains': ['48.be1', '48.bh1', '48.bj1', '48.cd1', '48.cm1', '48.co1'], 'core': '96.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [188677, 49681, 319513, 49665], 'label': '3072.z.24.y1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.y1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.y1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970069
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '24.z1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '128.2194', 'aut_weyl_index': 768, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '12.k1', '12.m1'], 'contains': ['48.bf1', '48.bh1', '48.bk1', '48.bw1', '48.cs1', '48.cu1'], 'core': '96.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [360451, 819225, 319513, 49665], 'label': '3072.z.24.z1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.z1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.z1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970070
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '24.ba1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '512.7536911', 'aut_weyl_index': 192, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.j1', '12.m1', '12.q1', '12.r1'], 'contains': ['48.c1', '48.w1', '48.y1', '48.bi1', '48.bk1', '48.bx1'], 'core': '48.c1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [229647, 688149, 573457, 49665], 'label': '3072.z.24.ba1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ba1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ba1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970071
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '24.bb1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '512.7536911', 'aut_weyl_index': 192, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.j1', '12.n1'], 'contains': ['48.d1', '48.x1', '48.z1', '48.bi1', '48.bj1', '48.ce1'], 'core': '48.d1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [229647, 974861, 573457, 49665], 'label': '3072.z.24.bb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bb1', 'projective_image': '192.193', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bb1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970072
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '24.bc1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55643', 'aut_weyl_index': 384, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.k1', '12.m1', '12.n1'], 'contains': ['48.bg1', '48.bi1', '48.bj1', '48.bk1', '48.by1', '48.cf1'], 'core': '96.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1015831, 974861, 573457, 49665], 'label': '3072.z.24.bc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bc1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bc1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970073
{'ambient': '3072.z', 'aut_centralizer_order': 8, 'aut_label': '4.d1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 32, 'centralizer': '96.d1', 'complements': ['768.a1', '768.h1', '768.r1'], 'conjugacy_class_count': 4, 'contained_in': ['2.b1'], 'contains': ['8.c1', '12.e1', '16.i1'], 'core': '4.d1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [633821, 49665, 557073, 835849, 925347, 819225, 557585, 41217, 688149], 'label': '3072.z.4.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.c1', '12.e1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '384.5749', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
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id: 268970074
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '24.bd1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.55689', 'aut_weyl_index': 384, 'centralizer': '12.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.l1', '12.o1', '12.p1', '12.q1', '12.r1'], 'contains': ['48.c1', '48.bb1', '48.bb2', '48.ca1', '48.ca2', '48.cp1'], 'core': '48.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [362949, 49681, 573457, 49665], 'label': '3072.z.24.bd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bd1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bd1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 268970075
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '24.be1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.a1'], 'contains': ['48.i1', '48.bl1', '48.bm1', '48.bn1', '48.bo1', '48.bp1'], 'core': '96.c1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1015831, 319753, 319513, 49665], 'label': '3072.z.24.be1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.be1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.be1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 268970076
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '24.bf1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.m1'], 'contains': ['48.bu1', '48.bv1', '48.bw1', '48.bx1', '48.by1'], 'core': '384.e1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1015831, 688149, 319513], 'label': '3072.z.24.bf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bf1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bf1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970077
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '24.bg1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '256.55647', 'aut_weyl_index': 384, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.o1'], 'contains': ['48.bv1', '48.bz1', '48.ca1', '48.cg1', '48.ci1'], 'core': '384.e1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [649693, 32785, 319513], 'label': '3072.z.24.bg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1', 'old_label': '24.bg1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bg1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 268970078
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '24.bh1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '256.55689', 'aut_weyl_index': 384, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.p1'], 'contains': ['48.bv1', '48.ca2', '48.ch1', '48.cj1'], 'core': '384.e1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [625373, 32785, 319513], 'label': '3072.z.24.bh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.bh1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bh1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 268970079
{'ambient': '3072.z', 'aut_centralizer_order': 64, 'aut_label': '24.bi1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.n1'], 'contains': ['48.cb1', '48.cc1', '48.cd1', '48.ce1', '48.cf1'], 'core': '384.f1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1015831, 188677, 319513], 'label': '3072.z.24.bi1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bi1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bi1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970080
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '24.bj1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.c1', '12.s1'], 'contains': ['48.ck1', '48.cl1', '48.cm1', '48.cn1', '48.co1'], 'core': '96.e1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [688149, 566017, 319513], 'label': '3072.z.24.bj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bj1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bj1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970081
{'ambient': '3072.z', 'aut_centralizer_order': 32, 'aut_label': '24.bk1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.27015', 'aut_weyl_index': 384, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.e1', '12.o1', '12.s1'], 'contains': ['48.g1', '48.cg1', '48.cl1', '48.cp1'], 'core': '48.g1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [633821, 319513, 49665], 'label': '3072.z.24.bk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bk1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bk1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
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id: 268970082
{'ambient': '3072.z', 'aut_centralizer_order': 32, 'aut_label': '24.bl1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '256.27015', 'aut_weyl_index': 384, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.e1', '12.p1', '12.s1'], 'contains': ['48.ch1', '48.cl1', '48.cp1'], 'core': '96.e1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [641245, 319513, 49665], 'label': '3072.z.24.bl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bl1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bl1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
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id: 268970083
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '24.bm1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.7532443', 'aut_weyl_index': 192, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.o1', '12.s1'], 'contains': ['48.g1', '48.ci1', '48.cn1', '48.cp1'], 'core': '48.g1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [362949, 303625, 49665], 'label': '3072.z.24.bm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bm1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bm1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
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id: 268970084
{'ambient': '3072.z', 'aut_centralizer_order': 4, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['8.e1', '8.f1', '12.b1', '16.h1'], 'core': '12.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [633821, 49665, 49681, 819225, 516359, 688149, 557585, 557073, 925347], 'label': '3072.z.4.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '4.e1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
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id: 268970085
{'ambient': '3072.z', 'aut_centralizer_order': 16, 'aut_label': '24.bn1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.7540514', 'aut_weyl_index': 192, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.p1', '12.s1'], 'contains': ['48.cj1', '48.cn1', '48.cp1'], 'core': '96.e1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [641245, 303625, 49665], 'label': '3072.z.24.bn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bn1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bn1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
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id: 268970086
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '24.bo1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1536, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.d1'], 'contains': ['48.cq1', '48.cr1', '48.cs1', '48.ct1', '48.cu1'], 'core': '96.f1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [360451, 319753, 319513], 'label': '3072.z.24.bo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bo1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bo1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
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id: 268970087
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '384.5677', 'aut_weyl_index': 256, 'centralizer': '96.d1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '16.b1'], 'contains': ['64.a1', '96.a1', '128.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [49681, 49665, 557585, 925347, 835849, 41217], 'label': '3072.z.32.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1'], 'normal_contains': ['64.a1', '96.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '1536.408528694', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
-
id: 268970088
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '32.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '384.5677', 'aut_weyl_index': 256, 'centralizer': '96.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '16.c1', '16.d1'], 'contains': ['64.a1', '96.g1', '128.d1'], 'core': '32.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [557073, 49665, 557585, 925347, 835849, 41217], 'label': '3072.z.32.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.b1', 'normal_contained_in': ['16.b1', '16.c1', '16.d1'], 'normal_contains': ['64.a1', '96.g1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': '1536.408527673', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': '96.72'}
-
id: 268970089
{'ambient': '3072.z', 'aut_centralizer_order': 256, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '96.226', 'aut_weyl_index': 1024, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '16.e1', '16.f1', '16.g1'], 'contains': ['64.c1', '64.g1', '64.h1', '96.b1', '128.b1'], 'core': '96.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [49681, 49665, 557585, 819225, 925347, 557073], 'label': '3072.z.32.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '32.c1', 'projective_image': '384.5746', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
-
id: 268970090
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '96.226', 'aut_weyl_index': 1024, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '16.e1'], 'contains': ['64.b1', '64.c1', '96.c1', '128.c1'], 'core': '96.c1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [516359, 49665, 557585, 557073, 925347, 49681], 'label': '3072.z.32.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '32.d1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
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id: 268970091
{'ambient': '3072.z', 'aut_centralizer_order': 48, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '128.2163', 'aut_weyl_index': 768, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1', '16.h1'], 'contains': ['64.d1', '64.e1', '64.f1', '96.d1'], 'core': '96.d1', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [516359, 557073, 819225, 688149, 925347, 49681], 'label': '3072.z.32.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '32.e1', 'projective_image': '96.72', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 268970092
{'ambient': '3072.z', 'aut_centralizer_order': 48, 'aut_label': '32.f1', 'aut_quo_index': None, 'aut_stab_index': 32, 'aut_weyl_group': '64.263', 'aut_weyl_index': 1536, 'centralizer': '16.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.f1', '16.h1'], 'contains': ['64.e1', '64.i1', '96.br1'], 'core': '192.d1', 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [633821, 557073, 819225, 49681, 925347, 688149], 'label': '3072.z.32.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.h1', 'old_label': '32.f1', 'projective_image': '192.1002', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 268970093
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '32.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '96.226', 'aut_weyl_index': 1024, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '16.f1', '16.i1'], 'contains': ['64.g1', '96.e1', '128.e1'], 'core': '96.e1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [705029, 49665, 557585, 925347, 819225, 557073], 'label': '3072.z.32.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '32.g1', 'projective_image': '384.5749', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.g1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
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id: 268970094
{'ambient': '3072.z', 'aut_centralizer_order': 128, 'aut_label': '32.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '96.226', 'aut_weyl_index': 1024, 'centralizer': '48.bq1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '16.g1'], 'contains': ['64.h1', '96.f1', '128.f1'], 'core': '96.f1', 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [909587, 49665, 557585, 925347, 836105, 557073], 'label': '3072.z.32.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1', 'old_label': '32.h1', 'projective_image': '384.606', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.h1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
