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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '128.997', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 8, 'aut_gen_orders': [4, 4, 4, 4, 4, 8], 'aut_gens': [[39041, 12291, 4229, 4129], [6145, 45067, 47239, 36901], [6281, 14467, 45135, 36905], [6273, 14411, 4101, 38945], [6153, 47115, 37069, 47275], [6273, 47115, 39045, 36961], [39041, 14411, 47239, 39073]], 'aut_group': None, 'aut_hash': 8956060775875177410, 'aut_nilpotency_class': 6, 'aut_nilpotent': True, 'aut_order': 2097152, 'aut_permdeg': 128, 'aut_perms': [377459537611510662044871542433080365507542479183109548477565643897878670315408236514941011976749959550391206156114999896262476865482039537440437902981732053193283724629731503328565220666280131896920804861109865318872, 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104701708442929168312686208375039940805113062483598289753809343493698707728874615102724108729460695945756977976473509761759552471951912423028443241871522954178428756719663538607608851551485092197905490636417816726627], 'aut_phi_ratio': 16384.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 1, 4, 1], [2, 1, 8, 1], [4, 1, 8, 2], [4, 1, 32, 1], [4, 2, 32, 1], [8, 2, 64, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2^{10}.C_2^6.C_2^5', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 8, 'autcent_group': None, 'autcent_hash': 2759711393961336224, 'autcent_nilpotent': True, 'autcent_order': 1048576, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^9.C_2^6.C_2^5', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 2, 'autcentquo_group': '2.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 2, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2', 'cc_stats': [[1, 1, 1], [2, 1, 15], [4, 1, 48], [4, 2, 32], [8, 2, 64]], 'center_label': '64.192', 'center_order': 64, 'central_product': True, 'central_quotient': '4.2', 'commutator_count': 1, 'commutator_label': '2.1', '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'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 13314, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['32.4', 1], ['4.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 15], [4, 1, 2, 24], [4, 2, 2, 16], [8, 2, 2, 32]], 'element_repr_type': 'GLZq', 'elementary': 2, 'eulerian_function': 630, 'exponent': 8, 'exponents_of_order': [8], 'factors_of_aut_order': [2], 'factors_of_order': [2], 'faithful_reps': [], 'familial': False, 'frattini_label': '16.10', 'frattini_quotient': '16.14', 'hash': 13314, 'hyperelementary': 2, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 2, 'inner_gen_orders': [1, 1, 2, 2], 'inner_gens': [[39041, 12291, 4229, 4129], [39041, 12291, 4229, 4129], [39041, 12291, 4229, 4257], [39041, 12291, 4101, 4129]], 'inner_hash': 2, 'inner_nilpotent': True, 'inner_order': 4, 'inner_split': False, 'inner_tex': 'C_2^2', 'inner_used': [3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 128], [2, 32]], 'label': '256.13314', '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.C4^3', 'ngens': 4, 'nilpotency_class': 2, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 10, 'number_characteristic_subgroups': 11, 'number_conjugacy_classes': 160, 'number_divisions': 88, 'number_normal_subgroups': 767, 'number_subgroup_autclasses': 81, 'number_subgroup_classes': 895, 'number_subgroups': 1023, 'old_label': None, 'order': 256, 'order_factorization_type': 7, 'order_stats': [[1, 1], [2, 15], [4, 112], [8, 128]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 8, 'outer_gen_orders': [4, 4, 4, 4, 4, 4], 'outer_gen_pows': [4097, 4097, 4097, 4097, 4097, 4129], 'outer_gens': [[6145, 45067, 47239, 36901], [6281, 14467, 45135, 36905], [6273, 14411, 4101, 38945], [6153, 47115, 37069, 47275], [6273, 47115, 39045, 36961], [39041, 14411, 47239, 39073]], 'outer_group': None, 'outer_hash': 2172234160162224894, 'outer_nilpotent': True, 'outer_order': 524288, 'outer_permdeg': 16384, 'outer_perms': 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'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^7.C_2^6.C_2.C_2^5', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 18, 'pgroup': 2, 'primary_abelian_invariants': [2, 4, 4, 4], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 56], [4, 16]], 'representations': {'PC': {'code': 148154988409930121322, 'gens': [1, 2, 4, 6], 'pres': [8, 2, 2, 2, 2, 2, 2, 2, 2, 41, 91, 989, 141, 166]}, 'GLZN': {'d': 2, 'p': 40, 'gens': [1088017, 196057, 576009, 64801, 1344021, 192003, 2298495, 115849]}, 'GLZq': {'d': 2, 'q': 16, 'gens': [4105, 4129, 39041, 36873, 4161, 12291, 39077, 4225]}, 'Perm': {'d': 18, 'gens': [404352593568009, 798995784793080, 1150934546373129, 1531461999888016, 1150934546361616, 1531461999525120, 1531461999513616, 1531461999513600]}}, 'schur_multiplier': [2, 2, 2, 2, 4, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4, 4, 4], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_4.C_4^3', 'transitive_degree': 256, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
Hide schema
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id: 173769070
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 13314, 'group_order': 256, 'label': '1A', 'order': 1, 'powers': [1], 'representative': 4097, 'size': 1}
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id: 173769142
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 13314, 'group_order': 256, 'label': '2A', 'order': 2, 'powers': [1], 'representative': 39041, 'size': 1}
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id: 173769153
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 13314, 'group_order': 256, 'label': '2B', 'order': 2, 'powers': [1], 'representative': 38913, 'size': 1}
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id: 173769164
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 13314, 'group_order': 256, 'label': '2C', 'order': 2, 'powers': [1], 'representative': 39049, 'size': 1}
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id: 173769175
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-
id: 173769074
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 102, 'group_counter': 13314, 'group_order': 256, 'label': '8C-1', 'order': 8, 'powers': [60], 'representative': 4205, 'size': 2}
-
id: 173769075
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 103, 'group_counter': 13314, 'group_order': 256, 'label': '8D1', 'order': 8, 'powers': [57], 'representative': 36905, 'size': 2}
-
id: 173769076
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 104, 'group_counter': 13314, 'group_order': 256, 'label': '8D-1', 'order': 8, 'powers': [58], 'representative': 36969, 'size': 2}
-
id: 173769077
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 105, 'group_counter': 13314, 'group_order': 256, 'label': '8E1', 'order': 8, 'powers': [61], 'representative': 12387, 'size': 2}
-
id: 173769078
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 106, 'group_counter': 13314, 'group_order': 256, 'label': '8E-1', 'order': 8, 'powers': [62], 'representative': 45099, 'size': 2}
-
id: 173769079
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 107, 'group_counter': 13314, 'group_order': 256, 'label': '8F1', 'order': 8, 'powers': [57], 'representative': 39073, 'size': 2}
-
id: 173769080
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 108, 'group_counter': 13314, 'group_order': 256, 'label': '8F-1', 'order': 8, 'powers': [58], 'representative': 39137, 'size': 2}
-
id: 173769081
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 109, 'group_counter': 13314, 'group_order': 256, 'label': '8G1', 'order': 8, 'powers': [60], 'representative': 4197, 'size': 2}
-
id: 173769083
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 110, 'group_counter': 13314, 'group_order': 256, 'label': '8G-1', 'order': 8, 'powers': [59], 'representative': 4141, 'size': 2}
-
id: 173769084
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 111, 'group_counter': 13314, 'group_order': 256, 'label': '8H1', 'order': 8, 'powers': [57], 'representative': 36897, 'size': 2}
-
id: 173769085
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 112, 'group_counter': 13314, 'group_order': 256, 'label': '8H-1', 'order': 8, 'powers': [58], 'representative': 36961, 'size': 2}
-
id: 173769086
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 113, 'group_counter': 13314, 'group_order': 256, 'label': '8I1', 'order': 8, 'powers': [59], 'representative': 36909, 'size': 2}
-
id: 173769087
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 114, 'group_counter': 13314, 'group_order': 256, 'label': '8I-1', 'order': 8, 'powers': [60], 'representative': 36965, 'size': 2}
-
id: 173769088
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 115, 'group_counter': 13314, 'group_order': 256, 'label': '8J1', 'order': 8, 'powers': [62], 'representative': 12323, 'size': 2}
-
id: 173769089
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 116, 'group_counter': 13314, 'group_order': 256, 'label': '8J-1', 'order': 8, 'powers': [61], 'representative': 45163, 'size': 2}
-
id: 173769090
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 117, 'group_counter': 13314, 'group_order': 256, 'label': '8K1', 'order': 8, 'powers': [61], 'representative': 12395, 'size': 2}
-
id: 173769091
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 118, 'group_counter': 13314, 'group_order': 256, 'label': '8K-1', 'order': 8, 'powers': [62], 'representative': 45091, 'size': 2}
-
id: 173769092
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 119, 'group_counter': 13314, 'group_order': 256, 'label': '8L1', 'order': 8, 'powers': [63], 'representative': 12399, 'size': 2}
-
id: 173769094
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 120, 'group_counter': 13314, 'group_order': 256, 'label': '8L-1', 'order': 8, 'powers': [64], 'representative': 45103, 'size': 2}
-
id: 173769095
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 121, 'group_counter': 13314, 'group_order': 256, 'label': '8M1', 'order': 8, 'powers': [57], 'representative': 39081, 'size': 2}
-
id: 173769096
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 122, 'group_counter': 13314, 'group_order': 256, 'label': '8M-1', 'order': 8, 'powers': [58], 'representative': 39145, 'size': 2}
-
id: 173769097
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 123, 'group_counter': 13314, 'group_order': 256, 'label': '8N1', 'order': 8, 'powers': [59], 'representative': 39077, 'size': 2}
-
id: 173769098
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 124, 'group_counter': 13314, 'group_order': 256, 'label': '8N-1', 'order': 8, 'powers': [60], 'representative': 39149, 'size': 2}
-
id: 173769099
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 125, 'group_counter': 13314, 'group_order': 256, 'label': '8O1', 'order': 8, 'powers': [57], 'representative': 6313, 'size': 2}
-
id: 173769100
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 126, 'group_counter': 13314, 'group_order': 256, 'label': '8O-1', 'order': 8, 'powers': [58], 'representative': 6377, 'size': 2}
-
id: 173769101
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 127, 'group_counter': 13314, 'group_order': 256, 'label': '8P1', 'order': 8, 'powers': [61], 'representative': 47331, 'size': 2}
-
id: 173769102
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 128, 'group_counter': 13314, 'group_order': 256, 'label': '8P-1', 'order': 8, 'powers': [62], 'representative': 14507, 'size': 2}
-
id: 173769103
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 129, 'group_counter': 13314, 'group_order': 256, 'label': '8Q1', 'order': 8, 'powers': [60], 'representative': 36973, 'size': 2}
-
id: 173769105
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 130, 'group_counter': 13314, 'group_order': 256, 'label': '8Q-1', 'order': 8, 'powers': [59], 'representative': 36901, 'size': 2}
-
id: 173769106
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 131, 'group_counter': 13314, 'group_order': 256, 'label': '8R1', 'order': 8, 'powers': [62], 'representative': 12331, 'size': 2}
-
id: 173769107
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 132, 'group_counter': 13314, 'group_order': 256, 'label': '8R-1', 'order': 8, 'powers': [61], 'representative': 45155, 'size': 2}
-
id: 173769108
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 133, 'group_counter': 13314, 'group_order': 256, 'label': '8S1', 'order': 8, 'powers': [64], 'representative': 12335, 'size': 2}
-
id: 173769109
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 134, 'group_counter': 13314, 'group_order': 256, 'label': '8S-1', 'order': 8, 'powers': [63], 'representative': 45167, 'size': 2}
-
id: 173769110
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 135, 'group_counter': 13314, 'group_order': 256, 'label': '8T1', 'order': 8, 'powers': [63], 'representative': 12391, 'size': 2}
-
id: 173769111
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 136, 'group_counter': 13314, 'group_order': 256, 'label': '8T-1', 'order': 8, 'powers': [64], 'representative': 45095, 'size': 2}
-
id: 173769112
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 137, 'group_counter': 13314, 'group_order': 256, 'label': '8U1', 'order': 8, 'powers': [63], 'representative': 45159, 'size': 2}
-
id: 173769113
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 138, 'group_counter': 13314, 'group_order': 256, 'label': '8U-1', 'order': 8, 'powers': [64], 'representative': 12327, 'size': 2}
-
id: 173769114
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 139, 'group_counter': 13314, 'group_order': 256, 'label': '8V1', 'order': 8, 'powers': [60], 'representative': 39141, 'size': 2}
-
id: 173769116
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 140, 'group_counter': 13314, 'group_order': 256, 'label': '8V-1', 'order': 8, 'powers': [59], 'representative': 39085, 'size': 2}
-
id: 173769117
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 141, 'group_counter': 13314, 'group_order': 256, 'label': '8W1', 'order': 8, 'powers': [57], 'representative': 6305, 'size': 2}
-
id: 173769118
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 142, 'group_counter': 13314, 'group_order': 256, 'label': '8W-1', 'order': 8, 'powers': [58], 'representative': 6369, 'size': 2}
-
id: 173769119
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 143, 'group_counter': 13314, 'group_order': 256, 'label': '8X1', 'order': 8, 'powers': [59], 'representative': 6317, 'size': 2}
-
id: 173769120
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 144, 'group_counter': 13314, 'group_order': 256, 'label': '8X-1', 'order': 8, 'powers': [60], 'representative': 6373, 'size': 2}
-
id: 173769121
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 145, 'group_counter': 13314, 'group_order': 256, 'label': '8Y1', 'order': 8, 'powers': [62], 'representative': 47267, 'size': 2}
-
id: 173769122
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 146, 'group_counter': 13314, 'group_order': 256, 'label': '8Y-1', 'order': 8, 'powers': [61], 'representative': 14571, 'size': 2}
-
id: 173769123
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 147, 'group_counter': 13314, 'group_order': 256, 'label': '8Z1', 'order': 8, 'powers': [61], 'representative': 47339, 'size': 2}
-
id: 173769124
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 148, 'group_counter': 13314, 'group_order': 256, 'label': '8Z-1', 'order': 8, 'powers': [62], 'representative': 14499, 'size': 2}
-
id: 173769125
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 149, 'group_counter': 13314, 'group_order': 256, 'label': '8AA1', 'order': 8, 'powers': [63], 'representative': 47343, 'size': 2}
-
id: 173769127
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 150, 'group_counter': 13314, 'group_order': 256, 'label': '8AA-1', 'order': 8, 'powers': [64], 'representative': 14511, 'size': 2}
-
id: 173769128
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 151, 'group_counter': 13314, 'group_order': 256, 'label': '8AB1', 'order': 8, 'powers': [60], 'representative': 6381, 'size': 2}
-
id: 173769129
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 152, 'group_counter': 13314, 'group_order': 256, 'label': '8AB-1', 'order': 8, 'powers': [59], 'representative': 6309, 'size': 2}
-
id: 173769130
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 153, 'group_counter': 13314, 'group_order': 256, 'label': '8AC1', 'order': 8, 'powers': [62], 'representative': 47275, 'size': 2}
-
id: 173769131
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 154, 'group_counter': 13314, 'group_order': 256, 'label': '8AC-1', 'order': 8, 'powers': [61], 'representative': 14563, 'size': 2}
-
id: 173769132
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 155, 'group_counter': 13314, 'group_order': 256, 'label': '8AD1', 'order': 8, 'powers': [64], 'representative': 47279, 'size': 2}
-
id: 173769133
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 156, 'group_counter': 13314, 'group_order': 256, 'label': '8AD-1', 'order': 8, 'powers': [63], 'representative': 14575, 'size': 2}
-
id: 173769134
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 157, 'group_counter': 13314, 'group_order': 256, 'label': '8AE1', 'order': 8, 'powers': [63], 'representative': 47335, 'size': 2}
-
id: 173769135
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 158, 'group_counter': 13314, 'group_order': 256, 'label': '8AE-1', 'order': 8, 'powers': [64], 'representative': 14503, 'size': 2}
-
id: 173769136
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 159, 'group_counter': 13314, 'group_order': 256, 'label': '8AF1', 'order': 8, 'powers': [63], 'representative': 14567, 'size': 2}
-
id: 173769138
{'aut_label': '8A1', 'centralizer': '2.b1', 'counter': 160, 'group_counter': 13314, 'group_order': 256, 'label': '8AF-1', 'order': 8, 'powers': [64], 'representative': 47271, 'size': 2}
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gps_qchar • Show schema
Hide schema
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id: 17834230
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1a', '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], 'schur_index': 1}
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id: 17834241
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1b', '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], 'schur_index': 1}
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id: 17834252
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1c', '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], 'schur_index': 1}
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id: 17834263
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1d', '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], 'schur_index': 1}
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id: 17834274
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
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id: 17834285
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1], 'schur_index': 1}
-
id: 17834296
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 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: 17834307
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -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: 17834317
{'cdim': 1, 'counter': 9, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1i', '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], 'schur_index': 1}
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id: 17834231
{'cdim': 1, 'counter': 10, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1j', '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], 'schur_index': 1}
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id: 17834232
{'cdim': 1, 'counter': 11, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1k', '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], 'schur_index': 1}
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id: 17834233
{'cdim': 1, 'counter': 12, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1l', '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], 'schur_index': 1}
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id: 17834234
{'cdim': 1, 'counter': 13, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1m', '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], 'schur_index': 1}
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id: 17834235
{'cdim': 1, 'counter': 14, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1n', '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], 'schur_index': 1}
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id: 17834236
{'cdim': 1, 'counter': 15, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1o', '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], 'schur_index': 1}
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id: 17834237
{'cdim': 1, 'counter': 16, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1p', '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], 'schur_index': 1}
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id: 17834238
{'cdim': 1, 'counter': 17, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1q', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, -2, 2, -2, 2, 2, -2, 2, 2, -2, 0, -2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 0, 2, 0, -2, -2, 2, 2], 'schur_index': 1}
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id: 17834239
{'cdim': 1, 'counter': 18, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1r', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 2, 2, -2, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 2, -2, 2, -2, -2, 2, -2, -2, 2, 0, 2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, -2, 0, -2, 0, 2, 2, -2, -2], 'schur_index': 1}
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id: 17834240
{'cdim': 1, 'counter': 19, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1s', '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, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, -2, 2, -2, -2, 0, 0, 0, 2, -2, -2, 0, -2, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, -2, 2, 0, 2, 0, 2, -2, 0, 2, -2, 2, 0, 2, 2, 0, -2, 0, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 17834242
{'cdim': 1, 'counter': 20, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1t', '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, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 2, -2, 2, 2, 0, 0, 0, -2, 2, 2, 0, 2, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, 2, -2, 0, -2, 0, -2, 2, 0, -2, 2, -2, 0, -2, -2, 0, 2, 0, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 17834243
{'cdim': 1, 'counter': 21, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1u', '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, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 2, -2, -2, -2, 0, 0, 0, 2, -2, 2, 0, -2, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, -2, 0, -2, -2, 0, -2, 2, -2, 0, -2, -2, 0, 2, 0, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 17834244
{'cdim': 1, 'counter': 22, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1v', '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, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, -2, 2, 2, 2, 0, 0, 0, -2, 2, -2, 0, 2, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 0, 2, 0, 2, 2, 0, 2, -2, 2, 0, 2, 2, 0, -2, 0, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 17834245
{'cdim': 1, 'counter': 23, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1w', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, 2, 0, 0, -2, -2, 0, 0, -2, 2, -2, 2, 2, 2, -2, -2, -2, 0, 2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 0, 2, 0, 2, 2, -2, 2], 'schur_index': 1}
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id: 17834246
{'cdim': 1, 'counter': 24, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1x', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, -2, 0, 0, 2, 2, 0, 0, 2, -2, 2, -2, -2, -2, 2, 2, 2, 0, -2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, 0, -2, 0, -2, -2, 2, -2], 'schur_index': 1}
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id: 17834247
{'cdim': 1, 'counter': 25, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1y', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 0, 0, -2, 0, -2, 0, -2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 2, 2, 2, 2, -2, 0, -2, 0, 2, -2, -2, -2, 2, -2, 0, 0, 0, 2, -2, 2, 0, 2, 2, -2, 0, 2, 2, -2, 0, 0, 2, 0, -2, -2, 2, 2, -2, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, -2, 2, 0, -2, 0, 2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0, -2], 'schur_index': 1}
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id: 17834248
{'cdim': 1, 'counter': 26, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1z', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 0, 0, -2, 0, -2, 0, -2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 2, 2, 2, 2, -2, 0, -2, 0, 2, -2, 2, 2, -2, 2, 0, 0, 0, -2, 2, -2, 0, -2, -2, 2, 0, -2, -2, 2, 0, 0, -2, 0, 2, 2, -2, -2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 2, -2, 0, 2, 0, -2, 0, 0, 0, 0, -2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 2], 'schur_index': 1}
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id: 17834249
{'cdim': 1, 'counter': 27, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1aa', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 0, 0, -2, 0, -2, 0, -2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, -2, -2, -2, 2, 0, 2, 0, -2, 2, -2, -2, 2, 2, 0, 0, 0, 2, -2, -2, 0, -2, 2, -2, 0, -2, 2, -2, 0, 0, 2, 0, 2, 2, -2, -2, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, -2, -2, 0, 2, 0, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, -2, 0, 0, 0, 0, 2], 'schur_index': 1}
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id: 17834250
{'cdim': 1, 'counter': 28, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1ab', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 0, 0, -2, 0, -2, 0, -2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 2, -2, -2, -2, -2, 2, 0, 2, 0, -2, 2, 2, 2, -2, -2, 0, 0, 0, -2, 2, 2, 0, 2, -2, 2, 0, 2, -2, 2, 0, 0, -2, 0, -2, -2, 2, 2, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 2, 2, 0, -2, 0, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0, -2], 'schur_index': 1}
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id: 17834251
{'cdim': 1, 'counter': 29, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1ac', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 2, -2, 2, 2, 2, 0, -2, 0, -2, 2, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, -2, 2, -2, -2, 0, 0, 2, 0, -2, -2, 0, 0, -2, 0, -2, 0, -2, 2, -2, 2, 0, -2, 2, 0, 2, 0, 2, -2, 2, 2, 0], 'schur_index': 1}
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id: 17834253
{'cdim': 1, 'counter': 30, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1ad', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 2, -2, 2, 2, 2, 0, -2, 0, -2, 2, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, -2, 2, -2, 2, 2, 0, 0, -2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, -2, 2, -2, 0, 2, -2, 0, -2, 0, -2, 2, -2, -2, 0], 'schur_index': 1}
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id: 17834254
{'cdim': 1, 'counter': 31, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1ae', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, -2, 2, -2, -2, -2, 0, 2, 0, 2, -2, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, -2, -2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, -2, 2, -2, -2, 0, 0, -2, 0, 2, 2, 0, 0, 2, 0, 2, 0, -2, -2, 2, -2, 0, 2, -2, 0, -2, 0, -2, -2, 2, 2, 0], 'schur_index': 1}
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id: 17834255
{'cdim': 1, 'counter': 32, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1af', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, -2, 2, -2, -2, -2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 2, 2, 0, -2, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, -2, 2, -2, 2, 2, 0, 0, 2, 0, -2, -2, 0, 0, -2, 0, -2, 0, 2, 2, -2, 2, 0, -2, 2, 0, 2, 0, 2, 2, -2, -2, 0], 'schur_index': 1}
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id: 17834256
{'cdim': 1, 'counter': 33, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1ag', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 0, 0, -2, 0, 2, 0, 2, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 2, -2, -2, -2, -2, 0, 2, 0, 2, 2, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -2, -2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, -2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, -2, 0, 2, 0, -2, 2, -2, -2, 0, -2, -2, 0, -2, 0, -2, 2, -2, -2, 0], 'schur_index': 1}
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id: 17834257
{'cdim': 1, 'counter': 34, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1ah', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 0, 0, -2, 0, 2, 0, 2, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 2, -2, -2, -2, -2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, -2, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, -2, -2, 2, -2, -2, 0, 0, -2, 0, -2, -2, 0, 0, 2, 0, -2, 0, 2, -2, 2, 2, 0, 2, 2, 0, 2, 0, 2, -2, 2, 2, 0], 'schur_index': 1}
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id: 17834258
{'cdim': 1, 'counter': 35, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1ai', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 0, 0, -2, 0, 2, 0, 2, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, -2, 2, 2, 2, 2, 0, -2, 0, -2, -2, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, -2, 2, 2, 0, 0, -2, 0, -2, -2, 0, 0, 2, 0, -2, 0, -2, -2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, -2, -2, 0], 'schur_index': 1}
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id: 17834259
{'cdim': 1, 'counter': 36, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1aj', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 0, 0, -2, 0, 2, 0, 2, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, -2, 2, 2, 2, 2, 0, -2, 0, -2, -2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, -2, -2, 2, -2, -2, 0, 0, 2, 0, 2, 2, 0, 0, -2, 0, 2, 0, 2, 2, -2, -2, 0, -2, -2, 0, -2, 0, -2, -2, 2, 2, 0], 'schur_index': 1}
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id: 17834260
{'cdim': 1, 'counter': 37, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1ak', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 0, 0, 2, 0, -2, 0, -2, 0, 0, 2, 2, -2, 0, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 2, -2, 2, 2, -2, -2, 2, 0, 2, 0, -2, -2, -2, 2, -2, -2, 0, 0, 0, 2, -2, 2, 0, -2, -2, 2, 0, -2, -2, 2, 0, 0, 2, 0, 2, 2, -2, 2, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, -2, -2, 0, 2, 0, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 2], 'schur_index': 1}
-
id: 17834261
{'cdim': 1, 'counter': 38, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1al', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 0, 0, 2, 0, -2, 0, -2, 0, 0, 2, 2, -2, 0, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 2, -2, 2, 2, -2, -2, 2, 0, 2, 0, -2, -2, 2, -2, 2, 2, 0, 0, 0, -2, 2, -2, 0, 2, 2, -2, 0, 2, 2, -2, 0, 0, -2, 0, -2, -2, 2, -2, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 2, 2, 0, -2, 0, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, -2, 0, 0, 0, 0, -2], 'schur_index': 1}
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id: 17834262
{'cdim': 1, 'counter': 39, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1am', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 0, 0, 2, 0, -2, 0, -2, 0, 0, 2, 2, -2, 0, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 2, -2, -2, 2, 2, -2, 0, -2, 0, 2, 2, -2, 2, -2, 2, 0, 0, 0, 2, -2, -2, 0, 2, -2, 2, 0, 2, -2, 2, 0, 0, 2, 0, -2, -2, 2, -2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, -2, 2, 0, -2, 0, -2, 0, 0, 0, 0, -2, 0, 0, 2, 0, -2, 0, 0, 0, 0, -2], 'schur_index': 1}
-
id: 17834264
{'cdim': 1, 'counter': 40, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1an', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 0, 0, 2, 0, -2, 0, -2, 0, 0, 2, 2, -2, 0, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, 2, -2, -2, 2, 2, -2, 0, -2, 0, 2, 2, 2, -2, 2, -2, 0, 0, 0, -2, 2, 2, 0, -2, 2, -2, 0, -2, 2, -2, 0, 0, -2, 0, 2, 2, -2, 2, -2, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 2, -2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0, 2], 'schur_index': 1}
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id: 17834265
{'cdim': 1, 'counter': 41, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1ao', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, -2, 0, 0, -2, -2, 0, 0, 2, -2, 2, 2, 2, 2, -2, -2, -2, 0, 2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 0, 2, 0, -2, -2, 2, -2], 'schur_index': 1}
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id: 17834266
{'cdim': 1, 'counter': 42, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1ap', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, -2, 2, -2, -2, -2, -2, 2, 2, 2, 0, -2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, 0, -2, 0, 2, 2, -2, 2], 'schur_index': 1}
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id: 17834267
{'cdim': 1, 'counter': 43, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1aq', '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, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 2, -2, -2, -2, 0, 0, 0, -2, 2, 2, 0, 2, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, 0, -2, 0, 2, 2, 0, -2, 2, 2, 0, -2, 2, 0, -2, 0, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 17834268
{'cdim': 1, 'counter': 44, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1ar', '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, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, -2, 2, 2, 2, 0, 0, 0, 2, -2, -2, 0, -2, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, -2, 0, 2, 0, -2, -2, 0, 2, -2, -2, 0, 2, -2, 0, 2, 0, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 17834269
{'cdim': 1, 'counter': 45, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1as', '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, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, -2, 2, -2, -2, 0, 0, 0, -2, 2, -2, 0, 2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, 2, 2, 0, 2, 0, -2, 2, 0, 2, -2, -2, 0, 2, -2, 0, 2, 0, 2, 0, 0, 0, 0], 'schur_index': 1}
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id: 17834270
{'cdim': 1, 'counter': 46, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1at', '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, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 2, -2, 2, 2, 0, 0, 0, 2, -2, 2, 0, -2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, -2, 2, -2, -2, -2, -2, 0, -2, 0, 2, -2, 0, -2, 2, 2, 0, -2, 2, 0, -2, 0, -2, 0, 0, 0, 0], 'schur_index': 1}
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id: 17834271
{'cdim': 1, 'counter': 47, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1au', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, -2, 0, 0, 2, 2, 0, 0, 2, -2, 2, 2, 2, -2, 2, 2, -2, 0, -2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 0, 2, 0, 2, 2, -2, -2], 'schur_index': 1}
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id: 17834272
{'cdim': 1, 'counter': 48, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1av', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, 2, 0, 0, -2, -2, 0, 0, -2, 2, -2, -2, -2, 2, -2, -2, 2, 0, 2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 2, 0, 0, 0, 2, 0, 0, -2, 0, -2, 0, -2, -2, 2, 2], 'schur_index': 1}
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id: 17834273
{'cdim': 1, 'counter': 49, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1aw', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834275
{'cdim': 1, 'counter': 50, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1ax', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834276
{'cdim': 1, 'counter': 51, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1ay', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834277
{'cdim': 1, 'counter': 52, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1az', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834278
{'cdim': 1, 'counter': 53, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1ba', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 0, 0, -2, 0, 2, 0, 2, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, -2, 2, 0, 0, 0, 0, -2, 0, 2, 0, 2, 0, 2, -2, 0, -2, -2, 0, 2, 2, -2, -2, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 2, -2, 0, 0, 2, 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, -2, 2, -2, -2, -2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, -2, 2, 2, -2, 0, 0, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 0, 0, 0, -2], 'schur_index': 1}
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id: 17834279
{'cdim': 1, 'counter': 54, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1bb', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 0, 0, -2, 0, 2, 0, 2, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, -2, 2, 0, 0, 0, 0, -2, 0, 2, 0, 2, 0, 2, -2, 0, -2, -2, 0, 2, 2, -2, -2, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, 2, 0, 0, -2, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 2, -2, 2, 2, 2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 2, -2, -2, 2, 0, 0, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 0, 0, 0, 2], 'schur_index': 1}
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id: 17834280
{'cdim': 1, 'counter': 55, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1bc', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 0, 0, -2, 0, 2, 0, 2, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 2, 0, -2, 0, -2, 0, -2, 2, 0, 2, 2, 0, -2, -2, 2, 2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, -2, 0, -2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, -2, -2, 2, 2, 0, 0, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, 0, 0, 0, -2], 'schur_index': 1}
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id: 17834281
{'cdim': 1, 'counter': 56, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1bd', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 0, 0, -2, 0, 2, 0, 2, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 2, 0, -2, 0, -2, 0, -2, 2, 0, 2, 2, 0, -2, -2, 2, 2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, -2, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, -2, -2, 0, 0, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 0, 0, 0, 2], 'schur_index': 1}
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id: 17834282
{'cdim': 1, 'counter': 57, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1be', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 0, 0, 2, 0, -2, 0, -2, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 2, -2, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 2, 2, 0, -2, 2, 0, -2, 2, -2, -2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, -2, -2, 2, 0, 2, 0, 0, 2, -2, 0, 2, 0, 2, 2, 0, 0, -2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 2, 2, 0, 2, -2, 2, -2, 2, -2, 2, -2, 0, -2, 0, 0, 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 0], 'schur_index': 1}
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id: 17834283
{'cdim': 1, 'counter': 58, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1bf', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 0, 0, 2, 0, -2, 0, -2, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 2, -2, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 2, 2, 0, -2, 2, 0, -2, 2, -2, -2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 2, 2, -2, 0, -2, 0, 0, -2, 2, 0, -2, 0, -2, -2, 0, 0, 2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, -2, 2, -2, 2, -2, 2, -2, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0], 'schur_index': 1}
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id: 17834284
{'cdim': 1, 'counter': 59, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1bg', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 0, 0, 2, 0, -2, 0, -2, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, -2, -2, 0, 2, -2, 0, 2, -2, 2, 2, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, -2, -2, 2, 0, -2, 0, 0, 2, -2, 0, -2, 0, 2, 2, 0, 0, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 2, 2, -2, 2, -2, 2, 2, -2, 0, -2, 0, 0, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0], 'schur_index': 1}
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id: 17834286
{'cdim': 1, 'counter': 60, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1bh', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 0, 0, 2, 0, -2, 0, -2, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, -2, -2, 0, 2, -2, 0, 2, -2, 2, 2, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 2, 2, -2, 0, 2, 0, 0, -2, 2, 0, 2, 0, -2, -2, 0, 0, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, -2, 2, 2, 0, -2, -2, 2, -2, 2, -2, -2, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 0], 'schur_index': 1}
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id: 17834287
{'cdim': 1, 'counter': 61, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1bi', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 0, 0, -2, 0, -2, 0, -2, 0, 0, 2, -2, 2, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, -2, 0, -2, 0, -2, 0, 2, 2, 0, -2, 2, 0, 2, -2, 2, 2, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, -2, 2, -2, 0, -2, 0, 0, 2, -2, 0, 2, 0, -2, -2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, -2, 2, 2, -2, 2, -2, 2, -2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 0], 'schur_index': 1}
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id: 17834288
{'cdim': 1, 'counter': 62, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1bj', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 0, 0, -2, 0, -2, 0, -2, 0, 0, 2, -2, 2, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, -2, 0, -2, 0, -2, 0, 2, 2, 0, -2, 2, 0, 2, -2, 2, 2, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 2, -2, 2, 0, 2, 0, 0, -2, 2, 0, -2, 0, 2, 2, 0, 0, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, -2, 2, 2, 0, 2, -2, -2, 2, -2, 2, -2, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0], 'schur_index': 1}
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id: 17834289
{'cdim': 1, 'counter': 63, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1bk', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 0, 0, -2, 0, -2, 0, -2, 0, 0, 2, -2, 2, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, -2, -2, 0, 2, -2, 0, -2, 2, -2, -2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, -2, 2, -2, 0, 2, 0, 0, 2, -2, 0, -2, 0, -2, -2, 0, 0, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, -2, 2, 2, 0, -2, -2, -2, 2, -2, 2, 2, -2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0], 'schur_index': 1}
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id: 17834290
{'cdim': 1, 'counter': 64, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1bl', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 0, 0, -2, 0, -2, 0, -2, 0, 0, 2, -2, 2, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, -2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, -2, -2, 0, 2, -2, 0, -2, 2, -2, -2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 2, -2, 2, 0, -2, 0, 0, -2, 2, 0, 2, 0, 2, 2, 0, 0, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 2, 2, 2, -2, 2, -2, -2, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 0], 'schur_index': 1}
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id: 17834291
{'cdim': 1, 'counter': 65, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1bm', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, -2, 0, -2, 0, 2, 0, 2, -2, 0, -2, -2, 0, -2, -2, 2, 2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, -2, 0, -2, 2, 0, 0, 2, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, 0, 2, -2, -2, -2, 0, 0, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 0, 0, 0, 2], 'schur_index': 1}
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id: 17834292
{'cdim': 1, 'counter': 66, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1bn', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, -2, 0, -2, 0, 2, 0, 2, -2, 0, -2, -2, 0, -2, -2, 2, 2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, -2, 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 0, -2, 2, 2, 2, 0, 0, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 0, 0, 0, -2], 'schur_index': 1}
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id: 17834293
{'cdim': 1, 'counter': 67, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1bo', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 2, 0, 2, 0, -2, 0, -2, 2, 0, 2, 2, 0, 2, 2, -2, -2, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, -2, 0, 0, 2, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 0, 2, 2, -2, 2, 0, 0, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 0, 0, 0, 2], 'schur_index': 1}
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id: 17834294
{'cdim': 1, 'counter': 68, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1bp', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 2, -2, 0, 0, 0, 0, 2, 0, 2, 0, -2, 0, -2, 2, 0, 2, 2, 0, 2, 2, -2, -2, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 2, 0, 0, -2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, 0, -2, -2, 2, -2, 0, 0, 2, 2, 2, -2, -2, 2, -2, -2, 2, -2, 0, 0, 0, -2], 'schur_index': 1}
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id: 17834295
{'cdim': 1, 'counter': 69, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1bq', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834297
{'cdim': 1, 'counter': 70, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1br', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834298
{'cdim': 1, 'counter': 71, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1bs', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834299
{'cdim': 1, 'counter': 72, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.1bt', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834300
{'cdim': 2, 'counter': 73, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.2a', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, -4, -4, -4, 4, 4, 4, -4, 4, -4, -4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 4, 0, 0, 0, 4, -4, -4, 4, -4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834301
{'cdim': 2, 'counter': 74, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.2b', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, -4, -4, -4, 4, 4, 4, -4, 4, -4, -4, 4, 4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, -4, 0, 0, 0, -4, 4, 4, -4, 4, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834302
{'cdim': 2, 'counter': 75, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.2c', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, -4, -4, 4, -4, 4, 4, 4, -4, 4, 4, 4, -4, -4, -4, 0, -4, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, -4, 0, 4, -4, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834303
{'cdim': 2, 'counter': 76, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.2d', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, -4, -4, 4, -4, 4, 4, 4, -4, 4, 4, 4, -4, -4, -4, 0, 4, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4, 0, -4, 4, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834304
{'cdim': 2, 'counter': 77, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.2e', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, -4, 4, -4, 4, -4, -4, 4, -4, 4, 4, 4, 0, -4, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, -4, 4, 4, 4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, -4, 0, -4, -4, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834305
{'cdim': 2, 'counter': 78, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.2f', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, -4, 4, -4, 4, -4, -4, 4, -4, 4, 4, 4, 0, 4, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 4, -4, -4, -4, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834306
{'cdim': 2, 'counter': 79, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.2g', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, 4, -4, -4, 4, 4, -4, -4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, -4, 0, 0, 0, -4, 4, 4, 4, -4, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834308
{'cdim': 2, 'counter': 80, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.2h', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, 4, -4, -4, 4, 4, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, -4, -4, -4, 4, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834309
{'cdim': 2, 'counter': 81, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.2i', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -4, 4, -4, -4, -4, -4, 4, 4, 4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, -4, 0, 0, 0, -4, -4, 4, -4, -4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834310
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id: 17834311
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id: 17834312
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id: 17834313
{'cdim': 2, 'counter': 85, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.2m', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -4, -4, -4, 4, 4, 4, 4, -4, -4, -4, 4, -4, 0, -4, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, -4, 4, -4, -4, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, -4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834314
{'cdim': 2, 'counter': 86, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.2n', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -4, -4, -4, 4, 4, 4, 4, -4, -4, -4, 4, -4, 0, 4, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 4, 0, -4, -4, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834315
{'cdim': 2, 'counter': 87, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.2o', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, 4, 4, 4, 4, -4, 4, -4, -4, -4, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, -4, -4, -4, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 17834316
{'cdim': 2, 'counter': 88, 'faithful': False, 'group': '256.13314', 'group_order': 256, 'image': None, 'label': '256.13314.2p', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, 4, 4, 4, 4, -4, 4, -4, -4, -4, 4, -4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, -4, 0, 0, 0, -4, -4, 4, 4, 4, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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gps_char • Show schema
Hide schema
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id: 38805122
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id: 38805214
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id: 38805215
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id: 38805217
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id: 38805218
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id: 38805219
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id: 38805220
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id: 38805221
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id: 38805222
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id: 38805223
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id: 38805224
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id: 38805225
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id: 38805226
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id: 38805228
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id: 38805229
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id: 38805230
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id: 38805231
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id: 38805232
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id: 38805233
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id: 38805234
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id: 38805235
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id: 38805236
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id: 38805237
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id: 38805239
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id: 38805240
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id: 38805241
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id: 38805242
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id: 38805243
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id: 38805244
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id: 38805245
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id: 38805246
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id: 38805247
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id: 38805248
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id: 38805250
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id: 38805251
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id: 38805252
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id: 38805253
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id: 38805254
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id: 38805255
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id: 38805256
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id: 38805257
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id: 38805258
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id: 38805259
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id: 38805261
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id: 38805262
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id: 38805263
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id: 38805264
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id: 38805265
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id: 38805266
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id: 38805267
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id: 38805268
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id: 38805269
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id: 38805194
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id: 38805270
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id: 38805272
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id: 38805273
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id: 38805274
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id: 38805275
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id: 38805276
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id: 38805277
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id: 38805278
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id: 38805279
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id: 38805280
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id: 38805281
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id: 38805124
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id: 38805125
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id: 38805126
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id: 38805127
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id: 38805128
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id: 38805129
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id: 38805130
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id: 38805131
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id: 38805132
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id: 38805133
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id: 38805135
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id: 38805136
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id: 38805137
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id: 38805138
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id: 38805139
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id: 38805140
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id: 38805141
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id: 38805142
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id: 38805143
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id: 38805144
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id: 38805146
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id: 38805147
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id: 38805148
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id: 38805149
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id: 38805150
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id: 38805151
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id: 38805152
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id: 38805153
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id: 38805154
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id: 38805205
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id: 38805216
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id: 38805227
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id: 38805238
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id: 38805249
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id: 38805260
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id: 38805271
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id: 38805123
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id: 38805134
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id: 38805145
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id: 38805156
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id: 38805167
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id: 38805178
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id: 38805189
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id: 38805191
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id: 38805192
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id: 38805193
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id: 38805195
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id: 38805196
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id: 38805197
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id: 38805198
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id: 38805199
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id: 38805200
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id: 38805201
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id: 38805202
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id: 38805203
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id: 38805204
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id: 38805206
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id: 38805207
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id: 38805208
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id: 38805209
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id: 38805210
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id: 38805211
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id: 38805212
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id: 38805155
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id: 38805157
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id: 38805158
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id: 38805159
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id: 38805160
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id: 38805161
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id: 38805162
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id: 38805163
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id: 38805164
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id: 38805165
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id: 38805166
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id: 38805168
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id: 38805169
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id: 38805170
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id: 38805171
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id: 38805172
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id: 38805173
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id: 38805174
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id: 38805175
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id: 38805176
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id: 38805177
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id: 38805179
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id: 38805180
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id: 38805181
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id: 38805182
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id: 38805183
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id: 38805184
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id: 38805185
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id: 38805186
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id: 38805187
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id: 38805188
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id: 38805190
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-
id: 267254202
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 256, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '256.13314.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': ['F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '256.13314', 'subgroup_hash': 13314, 'subgroup_order': 256, 'subgroup_tex': 'C_4.C_4^3', 'supersolvable': True, 'sylow': 2}
-
id: 267254213
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 128, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], '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: 267254224
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 128, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.1601', 'subgroup_hash': 1601, 'subgroup_order': 128, 'subgroup_tex': 'C_2^2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 267254235
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': True, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.1602', 'subgroup_hash': 1602, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254246
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': True, 'centralizer_order': 64, 'characteristic': False, 'core_order': 128, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '256.13314.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.457', 'subgroup_hash': 457, 'subgroup_order': 128, 'subgroup_tex': 'C_8:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254257
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 64, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', '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': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 267254268
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': True, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 7, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '256.13314.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', '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': '64.84', 'subgroup_hash': 84, 'subgroup_order': 64, 'subgroup_tex': 'C_4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254279
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 64, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254282
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 64, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], '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: 267254203
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 64, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254204
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 64, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 267254205
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 64, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.g1', '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': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 267254206
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 64, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.4.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.55', 'subgroup_hash': 55, 'subgroup_order': 64, 'subgroup_tex': 'C_4^3', 'supersolvable': True, 'sylow': 0}
-
id: 267254207
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 64, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.4.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 267254208
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': True, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.4.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.84', 'subgroup_hash': 84, 'subgroup_order': 64, 'subgroup_tex': 'C_4.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254209
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 32, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', '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': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254210
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', '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': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 267254211
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254212
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1', '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': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 267254214
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 32, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1', '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': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254215
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 32, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254216
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254217
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254218
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 32, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.8.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254219
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 32, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.8.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254220
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.8.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.k1', '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': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254221
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.8.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254222
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.8.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 267254223
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.8.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.n1', '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': True, '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: 267254225
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': True, 'centralizer_order': 64, 'characteristic': False, 'core_order': 32, 'counter': 30, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '256.13314.8.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.o1', '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.4', 'subgroup_hash': 4, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254226
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '256.13314.8.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.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': 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': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254227
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.2', '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': True, '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: 267254228
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 16, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{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}
-
id: 267254229
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 16, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254230
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 16, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254231
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 16, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254232
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.f1', '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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254233
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 16, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['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}
-
id: 267254234
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 16, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254236
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 16, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.16.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254237
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 16, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.16.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'C4'], '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: 267254238
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.16.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254239
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 16, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.16.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.l1', '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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254240
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 16, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.16.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254241
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.16.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 267254242
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.16.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.o1', '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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254243
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.16.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254244
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.16.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 267254245
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '256.13314.16.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.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': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254247
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '256.13314.16.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.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': 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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254248
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 51, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '256.13314.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 267254249
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.21', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254250
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 267254251
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.21', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 267254252
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.32.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.21', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 267254253
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.32.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254254
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 8, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.32.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 267254255
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.32.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.21', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254256
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.32.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.21', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254258
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 60, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.32.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254259
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 61, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.32.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.21', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254260
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 62, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.32.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254261
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 63, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.32.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.21', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254262
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 64, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '256.13314.32.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.21', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 267254263
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '256.13314.32.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.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': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254264
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '256.13314.32.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.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': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254265
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 4, 'counter': 67, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.84', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 84, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254266
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 4, 'counter': 68, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.64.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.55', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 55, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254267
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 4, 'counter': 69, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.64.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.85', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 85, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254269
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 4, 'counter': 70, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.64.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.247', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 247, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254270
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 4, 'counter': 71, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '256.13314.64.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.84', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 84, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.C_4^2', '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}
-
id: 267254271
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 4, 'counter': 72, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.64.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.192', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 192, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254272
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 4, 'counter': 73, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '256.13314.64.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.192', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 192, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 267254273
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 4, 'counter': 74, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '256.13314.64.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.55', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 55, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^3', '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}
-
id: 267254274
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 4, 'counter': 75, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '256.13314.64.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.192', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 192, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4^2', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 267254275
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 76, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '256.13314.64.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.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': 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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 267254276
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2, 'counter': 77, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '256.13314.128.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '128.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.457', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 457, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:C_4^2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 267254277
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2, 'counter': 78, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '256.13314.128.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '128.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1602', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1602, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_4^2', '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: 267254278
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 2, 'counter': 79, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '256.13314.128.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '128.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.997', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 997, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4^3', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C7'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 267254280
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2, 'counter': 80, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '256.13314.128.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '128.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1603', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1603, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.C_4^2', '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: 267254281
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '256.13314', 'ambient_counter': 13314, 'ambient_order': 256, 'ambient_tex': 'C_4.C_4^3', 'central': True, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 1, 'counter': 81, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '256.13314.256.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '256.13314', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13314, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.C_4^3', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'L2', 'D2', 'C8'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 267254202
{'ambient': '256.13314', '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': '4.d1', 'complements': ['256.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6727, 6435, 6698, 6405], 'generators': [39041, 12291, 4229, 4129], 'label': '256.13314.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 267254203
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.c1'], 'contains': ['8.c1', '8.f1', '8.g1', '8.k1', '8.l1'], 'core': '4.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [5615, 5225, 5594, 5203], 'generators': [39041, 4229, 36873, 4161], 'label': '256.13314.4.e1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1', 'normal_contained_in': ['2.a1', '2.c1'], 'normal_contains': ['8.c1', '8.f1', '8.g1', '8.k1', '8.l1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 267254204
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.b1', '2.c1'], 'contains': ['8.b1', '8.d1', '8.f1', '8.m1'], 'core': '4.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [7796, 7598, 7766, 7568], 'generators': [39041, 4133, 36873, 4161], 'label': '256.13314.4.f1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1', 'normal_contained_in': ['2.b1', '2.c1'], 'normal_contains': ['8.b1', '8.d1', '8.f1', '8.m1'], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 267254205
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.a1'], 'contains': ['8.h1', '8.i1', '8.k1'], 'core': '4.g1', 'coset_action_label': None, 'count': 4, 'diagramx': [3687, 3068, 3672, 3055], 'generators': [39105, 12291, 4229], 'label': '256.13314.4.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.g1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.h1', '8.i1', '8.k1'], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 267254206
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.a1', '2.d1'], 'contains': ['8.h1', '8.j1', '8.l1'], 'core': '4.h1', 'coset_action_label': None, 'count': 4, 'diagramx': [5135, 4702, 5115, 4682], 'generators': [47235, 4229, 4161], 'label': '256.13314.4.h1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.h1', 'normal_contained_in': ['2.a1', '2.d1'], 'normal_contains': ['8.h1', '8.j1', '8.l1'], 'normalizer': '1.a1', 'old_label': '4.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 267254207
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['2.b1', '2.d1'], 'contains': ['8.j1', '8.m1', '8.n1'], 'core': '4.i1', 'coset_action_label': None, 'count': 8, 'diagramx': [7115, 6859, 7088, 6830], 'generators': [47235, 4133, 4161], 'label': '256.13314.4.i1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.i1', 'normal_contained_in': ['2.b1', '2.d1'], 'normal_contains': ['8.j1', '8.m1', '8.n1'], 'normalizer': '1.a1', 'old_label': '4.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 267254208
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '4.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.d1', 'complements': [], 'conjugacy_class_count': 16, 'contained_in': ['2.c1', '2.d1'], 'contains': ['8.l1', '8.m1', '8.o1'], 'core': '4.j1', 'coset_action_label': None, 'count': 16, 'diagramx': [8553, 8423, 8520, 8389], 'generators': [39073, 4229, 36873], 'label': '256.13314.4.j1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.j1', 'normal_contained_in': ['2.c1', '2.d1'], 'normal_contains': ['8.l1', '8.m1', '8.o1'], 'normalizer': '1.a1', 'old_label': '4.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.j1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 267254209
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['4.a1', '4.d1'], 'contains': ['16.c1', '16.d1', '16.l1', '16.m1'], 'core': '8.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [4555, 4070, 4537, 4053], 'generators': [39041, 12291, 4161], 'label': '256.13314.8.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.d1'], 'normal_contains': ['16.c1', '16.d1', '16.l1', '16.m1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 267254210
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 16, 'contained_in': ['4.a1', '4.f1'], 'contains': ['16.a1', '16.d1', '16.n1'], 'core': '8.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [7962, 7780, 7931, 7748], 'generators': [39041, 4133, 36873], 'label': '256.13314.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.f1'], 'normal_contains': ['16.a1', '16.d1', '16.n1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 267254211
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 16, 'contained_in': ['4.b1', '4.e1'], 'contains': ['16.e1', '16.f1', '16.o1', '16.p1'], 'core': '8.c1', 'coset_action_label': None, 'count': 16, 'diagramx': [6875, 6598, 6849, 6570], 'generators': [39041, 4229, 36937], 'label': '256.13314.8.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': ['4.b1', '4.e1'], 'normal_contains': ['16.e1', '16.f1', '16.o1', '16.p1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 267254212
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 32, 'contained_in': ['4.b1', '4.f1'], 'contains': ['16.a1', '16.e1', '16.q1'], 'core': '8.d1', 'coset_action_label': None, 'count': 32, 'diagramx': [9123, 9043, 9087, 9006], 'generators': [39041, 4133, 36865], 'label': '256.13314.8.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': ['4.b1', '4.f1'], 'normal_contains': ['16.a1', '16.e1', '16.q1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 267254213
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.c1', '4.d1', '4.e1', '4.g1', '4.h1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4895, 4440, 4876, 4422], 'generators': [39041, 12291, 4229, 4161], 'label': '256.13314.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.c1', '4.d1', '4.e1', '4.g1', '4.h1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 267254214
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '4.d1'], 'contains': ['16.b1', '16.c1', '16.g1', '16.h1'], 'core': '8.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [1654, 911, 1647, 908], 'generators': [39041, 12291, 4105, 4225], 'label': '256.13314.8.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': ['4.c1', '4.d1'], 'normal_contains': ['16.b1', '16.c1', '16.g1', '16.h1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 267254253
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '32.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 16, 'contained_in': ['16.b1', '16.h1', '16.s1'], 'contains': ['64.d1', '64.e1'], 'core': '32.f1', 'coset_action_label': None, 'count': 16, 'diagramx': [933, 1459, 929, 1453], 'generators': [47235, 4105], 'label': '256.13314.32.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.f1', 'normal_contained_in': ['16.b1', '16.h1'], 'normal_contains': ['64.d1', '64.e1'], 'normalizer': '1.a1', 'old_label': '32.f1', 'projective_image': None, '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': None}
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id: 267254215
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '4.e1', '4.f1'], 'contains': ['16.d1', '16.e1', '16.g1', '16.i1', '16.j1'], 'core': '8.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [5715, 5334, 5693, 5312], 'generators': [39041, 36873, 4105, 4161], 'label': '256.13314.8.f1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.f1', 'normal_contained_in': ['4.d1', '4.e1', '4.f1'], 'normal_contains': ['16.d1', '16.e1', '16.g1', '16.i1', '16.j1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254216
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '4.e1'], 'contains': ['16.f1', '16.g1', '16.k1', '16.r1'], 'core': '8.g1', 'coset_action_label': None, 'count': 4, 'diagramx': [2814, 2807, 2803, 2795], 'generators': [39041, 4229, 36873, 4225], 'label': '256.13314.8.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': ['4.c1', '4.e1'], 'normal_contains': ['16.f1', '16.g1', '16.k1'], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254217
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 16, 'contained_in': ['4.c1', '4.g1', '4.h1'], 'contains': ['16.h1', '16.k1', '16.s1'], 'core': '8.h1', 'coset_action_label': None, 'count': 16, 'diagramx': [2234, 1543, 2225, 1537], 'generators': [47235, 4229, 4225], 'label': '256.13314.8.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': ['4.c1', '4.g1', '4.h1'], 'normal_contains': ['16.h1', '16.k1'], 'normalizer': '1.a1', 'old_label': '8.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254218
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '4.g1'], 'contains': ['16.h1', '16.i1', '16.l1'], 'core': '8.i1', 'coset_action_label': None, 'count': 2, 'diagramx': [3394, 2175, 3381, 2166], 'generators': [39105, 12291, 4105], 'label': '256.13314.8.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.i1', 'normal_contained_in': ['4.d1', '4.g1'], 'normal_contains': ['16.h1', '16.i1', '16.l1'], 'normalizer': '1.a1', 'old_label': '8.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254219
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '4.h1', '4.i1'], 'contains': ['16.h1', '16.j1', '16.m1'], 'core': '8.j1', 'coset_action_label': None, 'count': 2, 'diagramx': [5135, 4702, 5115, 4682], 'generators': [47235, 4105, 4161], 'label': '256.13314.8.j1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.j1', 'normal_contained_in': ['4.d1', '4.h1', '4.i1'], 'normal_contains': ['16.h1', '16.j1', '16.m1'], 'normalizer': '1.a1', 'old_label': '8.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254220
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.e1', '4.g1'], 'contains': ['16.i1', '16.k1', '16.o1'], 'core': '8.k1', 'coset_action_label': None, 'count': 4, 'diagramx': [3975, 3438, 3959, 3424], 'generators': [39105, 4229, 36873], 'label': '256.13314.8.k1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.k1', 'normal_contained_in': ['4.e1', '4.g1'], 'normal_contains': ['16.i1', '16.k1', '16.o1'], 'normalizer': '1.a1', 'old_label': '8.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254221
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.e1', '4.h1', '4.j1'], 'contains': ['16.j1', '16.k1', '16.p1'], 'core': '8.l1', 'coset_action_label': None, 'count': 4, 'diagramx': [6296, 5965, 6271, 5941], 'generators': [38917, 36873, 4161], 'label': '256.13314.8.l1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.l1', 'normal_contained_in': ['4.e1', '4.h1', '4.j1'], 'normal_contains': ['16.j1', '16.k1', '16.p1'], 'normalizer': '1.a1', 'old_label': '8.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254222
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['4.f1', '4.i1', '4.j1'], 'contains': ['16.j1', '16.n1', '16.q1'], 'core': '8.m1', 'coset_action_label': None, 'count': 8, 'diagramx': [8542, 8412, 8509, 8377], 'generators': [39073, 36873, 4105], 'label': '256.13314.8.m1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.m1', 'normal_contained_in': ['4.f1', '4.i1', '4.j1'], 'normal_contains': ['16.j1', '16.n1', '16.q1'], 'normalizer': '1.a1', 'old_label': '8.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254223
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '8.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': ['32.o1'], 'conjugacy_class_count': 32, 'contained_in': ['4.a1', '4.i1'], 'contains': ['16.m1', '16.n1'], 'core': '8.n1', 'coset_action_label': None, 'count': 32, 'diagramx': [7419, 7188, 7390, 7159], 'generators': [47235, 4133], 'label': '256.13314.8.n1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.n1', 'normal_contained_in': ['4.a1', '4.i1'], 'normal_contains': ['16.m1', '16.n1'], 'normalizer': '1.a1', 'old_label': '8.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.n1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254224
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.d1', '4.f1', '4.i1'], 'core': '2.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [6277, 5945, 6252, 5921], 'generators': [39041, 12291, 4133, 4161], 'label': '256.13314.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.d1', '4.f1', '4.i1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254225
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '8.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.d1', 'complements': ['32.a1', '32.o1'], 'conjugacy_class_count': 64, 'contained_in': ['4.b1', '4.j1'], 'contains': ['16.p1', '16.q1'], 'core': '8.o1', 'coset_action_label': None, 'count': 64, 'diagramx': [9743, 9720, 9706, 9679], 'generators': [39073, 4229], 'label': '256.13314.8.o1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': ['4.b1', '4.j1'], 'normal_contains': ['16.p1', '16.q1'], 'normalizer': '1.a1', 'old_label': '8.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.o1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254226
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '8.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['4.c1'], 'contains': ['16.b1', '16.r1', '16.s1'], 'core': '16.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [852, -1, 849, -1], 'generators': [39041, 12291, 4229], 'label': '256.13314.8.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.p1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254227
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': ['16.s1'], 'conjugacy_class_count': 64, 'contained_in': ['8.b1', '8.d1'], 'contains': ['32.b1', '32.n1'], 'core': '16.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [8357, 8130, 8325, 8096], 'generators': [39041, 4133], 'label': '256.13314.16.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.b1', '8.d1'], 'normal_contains': ['32.b1', '32.n1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254228
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 16, 'contained_in': ['8.e1', '8.p1'], 'contains': ['32.a1', '32.c1', '32.f1'], 'core': '16.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [257, 280, 256, 278], 'generators': [39041, 12291, 4105], 'label': '256.13314.16.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.e1'], 'normal_contains': ['32.a1', '32.c1', '32.f1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254229
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['8.a1', '8.e1'], 'contains': ['32.a1', '32.d1', '32.h1'], 'core': '16.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [1724, 911, 1717, 908], 'generators': [39041, 12291, 4225], 'label': '256.13314.16.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': ['8.a1', '8.e1'], 'normal_contains': ['32.a1', '32.d1', '32.h1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254230
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.a1', '8.b1', '8.f1'], 'contains': ['32.b1', '32.d1', '32.i1', '32.j1'], 'core': '16.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [5848, 5398, 5825, 5376], 'generators': [39041, 36873, 4161], 'label': '256.13314.16.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': ['8.a1', '8.b1', '8.f1'], 'normal_contains': ['32.b1', '32.d1', '32.i1', '32.j1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254231
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['8.c1', '8.d1', '8.f1'], 'contains': ['32.b1', '32.e1', '32.k1', '32.l1'], 'core': '16.e1', 'coset_action_label': None, 'count': 8, 'diagramx': [7008, 6662, 6981, 6634], 'generators': [39041, 36865, 4161], 'label': '256.13314.16.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': ['8.c1', '8.d1', '8.f1'], 'normal_contains': ['32.b1', '32.e1', '32.k1', '32.l1'], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254232
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 16, 'contained_in': ['8.c1', '8.g1'], 'contains': ['32.e1', '32.m1', '32.o1'], 'core': '16.f1', 'coset_action_label': None, 'count': 16, 'diagramx': [3771, 4102, 3757, 4085], 'generators': [39041, 4229, 4225], 'label': '256.13314.16.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': ['8.c1', '8.g1'], 'normal_contains': ['32.e1', '32.m1'], 'normalizer': '1.a1', 'old_label': '16.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254233
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1', '8.f1', '8.g1'], 'contains': ['32.c1', '32.d1', '32.e1', '32.g1'], 'core': '16.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [2747, 2026, 2737, 2018], 'generators': [39041, 36873, 4105, 4225], 'label': '256.13314.16.g1', 'mobius_quo': 64, 'mobius_sub': 0, 'normal_closure': '16.g1', 'normal_contained_in': ['8.e1', '8.f1', '8.g1'], 'normal_contains': ['32.c1', '32.d1', '32.e1', '32.g1'], 'normalizer': '1.a1', 'old_label': '16.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254234
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.e1', '8.h1', '8.i1', '8.j1'], 'contains': ['32.f1', '32.g1', '32.h1'], 'core': '16.h1', 'coset_action_label': None, 'count': 4, 'diagramx': [2304, 1543, 2295, 1537], 'generators': [47235, 4105, 4225], 'label': '256.13314.16.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.h1', 'normal_contained_in': ['8.e1', '8.h1', '8.i1', '8.j1'], 'normal_contains': ['32.f1', '32.g1', '32.h1'], 'normalizer': '1.a1', 'old_label': '16.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254235
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '2.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.d1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.e1', '4.f1', '4.j1'], 'core': '2.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [8251, 8094, 8218, 8061], 'generators': [39041, 12387, 4229, 4161], 'label': '256.13314.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.e1', '4.f1', '4.j1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254236
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1', '8.i1', '8.k1'], 'contains': ['32.g1', '32.i1', '32.k1'], 'core': '16.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [4658, 3471, 4640, 3456], 'generators': [39105, 36873, 4105], 'label': '256.13314.16.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.i1', 'normal_contained_in': ['8.f1', '8.i1', '8.k1'], 'normal_contains': ['32.g1', '32.i1', '32.k1'], 'normalizer': '1.a1', 'old_label': '16.i1', 'projective_image': None, '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': None}
-
id: 267254237
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1', '8.j1', '8.l1', '8.m1'], 'contains': ['32.g1', '32.j1', '32.l1'], 'core': '16.j1', 'coset_action_label': None, 'count': 1, 'diagramx': [6429, 6029, 6404, 6005], 'generators': [36873, 4105, 4161], 'label': '256.13314.16.j1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.j1', 'normal_contained_in': ['8.f1', '8.j1', '8.l1', '8.m1'], 'normal_contains': ['32.g1', '32.j1', '32.l1'], 'normalizer': '1.a1', 'old_label': '16.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254238
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['8.g1', '8.h1', '8.k1', '8.l1'], 'contains': ['32.g1', '32.m1', '32.p1'], 'core': '16.k1', 'coset_action_label': None, 'count': 8, 'diagramx': [3191, 2838, 3179, 2827], 'generators': [38917, 36873, 4225], 'label': '256.13314.16.k1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.k1', 'normal_contained_in': ['8.g1', '8.h1', '8.k1', '8.l1'], 'normal_contains': ['32.g1', '32.m1'], 'normalizer': '1.a1', 'old_label': '16.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254239
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['8.a1', '8.i1'], 'contains': ['32.h1', '32.i1'], 'core': '16.l1', 'coset_action_label': None, 'count': 8, 'diagramx': [4215, 2356, 4198, 2346], 'generators': [39105, 12291], 'label': '256.13314.16.l1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.l1', 'normal_contained_in': ['8.a1', '8.i1'], 'normal_contains': ['32.h1', '32.i1'], 'normalizer': '1.a1', 'old_label': '16.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.l1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254240
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['8.a1', '8.j1', '8.n1'], 'contains': ['32.h1', '32.j1'], 'core': '16.m1', 'coset_action_label': None, 'count': 8, 'diagramx': [5405, 4915, 5384, 4895], 'generators': [47235, 4161], 'label': '256.13314.16.m1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.m1', 'normal_contained_in': ['8.a1', '8.j1', '8.n1'], 'normal_contains': ['32.h1', '32.j1'], 'normalizer': '1.a1', 'old_label': '16.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.m1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254241
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 16, 'contained_in': ['8.b1', '8.m1', '8.n1'], 'contains': ['32.j1', '32.n1'], 'core': '16.n1', 'coset_action_label': None, 'count': 16, 'diagramx': [7855, 7583, 7824, 7552], 'generators': [39073, 36873], 'label': '256.13314.16.n1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.n1', 'normal_contained_in': ['8.b1', '8.m1', '8.n1'], 'normal_contains': ['32.j1', '32.n1'], 'normalizer': '1.a1', 'old_label': '16.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.n1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254242
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 16, 'contained_in': ['8.c1', '8.k1'], 'contains': ['32.k1', '32.m1'], 'core': '16.o1', 'coset_action_label': None, 'count': 16, 'diagramx': [5102, 4585, 5082, 4566], 'generators': [39105, 4229], 'label': '256.13314.16.o1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.o1', 'normal_contained_in': ['8.c1', '8.k1'], 'normal_contains': ['32.k1', '32.m1'], 'normalizer': '1.a1', 'old_label': '16.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.o1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254243
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 16, 'contained_in': ['8.c1', '8.l1', '8.o1'], 'contains': ['32.l1', '32.m1'], 'core': '16.p1', 'coset_action_label': None, 'count': 16, 'diagramx': [7452, 7145, 7423, 7115], 'generators': [38917, 36937], 'label': '256.13314.16.p1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.p1', 'normal_contained_in': ['8.c1', '8.l1', '8.o1'], 'normal_contains': ['32.l1', '32.m1'], 'normalizer': '1.a1', 'old_label': '16.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.p1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254244
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 32, 'contained_in': ['8.d1', '8.m1', '8.o1'], 'contains': ['32.l1', '32.n1'], 'core': '16.q1', 'coset_action_label': None, 'count': 32, 'diagramx': [8861, 8677, 8826, 8641], 'generators': [39073, 36865], 'label': '256.13314.16.q1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.q1', 'normal_contained_in': ['8.d1', '8.m1', '8.o1'], 'normal_contains': ['32.l1', '32.n1'], 'normalizer': '1.a1', 'old_label': '16.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.q1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254245
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['8.g1', '8.p1'], 'contains': ['32.c1', '32.o1', '32.p1'], 'core': '32.c1', 'coset_action_label': None, 'count': 32, 'diagramx': [1144, -1, 1139, -1], 'generators': [39041, 4229, 36873], 'label': '256.13314.16.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.r1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254246
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.d1', 'complements': ['128.a1'], 'conjugacy_class_count': 8, 'contained_in': ['1.a1'], 'contains': ['4.h1', '4.i1', '4.j1'], 'core': '2.d1', 'coset_action_label': None, 'count': 8, 'diagramx': [7175, 6923, 7147, 6894], 'generators': [39073, 12291, 4229], 'label': '256.13314.2.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.h1', '4.i1', '4.j1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254247
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '16.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['8.h1', '8.p1'], 'contains': ['32.f1', '32.p1'], 'core': '32.f1', 'coset_action_label': None, 'count': 64, 'diagramx': [700, -1, 698, -1], 'generators': [47235, 4229], 'label': '256.13314.16.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.s1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254248
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['8.o1'], 'conjugacy_class_count': 32, 'contained_in': ['16.b1', '16.c1'], 'contains': ['64.a1', '64.e1'], 'core': '32.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [431, 911, 429, 908], 'generators': [39041, 12291], 'label': '256.13314.32.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.b1', '16.c1'], 'normal_contains': ['64.a1', '64.e1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254249
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 16, 'contained_in': ['16.a1', '16.d1', '16.e1'], 'contains': ['64.b1', '64.h1', '64.i1'], 'core': '32.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [6351, 6062, 6326, 6037], 'generators': [39041, 36937], 'label': '256.13314.32.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': ['16.a1', '16.d1', '16.e1'], 'normal_contains': ['64.b1', '64.h1', '64.i1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254250
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['16.b1', '16.g1', '16.r1'], 'contains': ['64.a1', '64.c1', '64.d1'], 'core': '32.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [1335, 1897, 1331, 1889], 'generators': [39041, 36873, 4105], 'label': '256.13314.32.c1', 'mobius_quo': -8, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': ['16.b1', '16.g1'], 'normal_contains': ['64.a1', '64.c1', '64.d1'], 'normalizer': '1.a1', 'old_label': '32.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254251
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '16.d1', '16.g1'], 'contains': ['64.a1', '64.b1', '64.f1'], 'core': '32.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [3147, 2774, 3134, 2763], 'generators': [39041, 36873, 4225], 'label': '256.13314.32.d1', 'mobius_quo': -8, 'mobius_sub': 0, 'normal_closure': '32.d1', 'normal_contained_in': ['16.c1', '16.d1', '16.g1'], 'normal_contains': ['64.a1', '64.b1', '64.f1'], 'normalizer': '1.a1', 'old_label': '32.d1', 'projective_image': None, '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': None}
-
id: 267254252
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.e1', '16.f1', '16.g1'], 'contains': ['64.b1', '64.c1', '64.g1'], 'core': '32.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [3753, 3434, 3738, 3420], 'generators': [39041, 36865, 4225], 'label': '256.13314.32.e1', 'mobius_quo': -8, 'mobius_sub': 0, 'normal_closure': '32.e1', 'normal_contained_in': ['16.e1', '16.f1', '16.g1'], 'normal_contains': ['64.b1', '64.c1', '64.g1'], 'normalizer': '1.a1', 'old_label': '32.e1', 'projective_image': None, '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': None}
-
id: 267254254
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '32.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.g1', '16.h1', '16.i1', '16.j1', '16.k1'], 'contains': ['64.d1', '64.f1', '64.g1'], 'core': '32.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [3450, 3105, 3436, 3091], 'generators': [36873, 4105, 4225], 'label': '256.13314.32.g1', 'mobius_quo': -8, 'mobius_sub': 0, 'normal_closure': '32.g1', 'normal_contained_in': ['16.g1', '16.h1', '16.i1', '16.j1', '16.k1'], 'normal_contains': ['64.d1', '64.f1', '64.g1'], 'normalizer': '1.a1', 'old_label': '32.g1', 'projective_image': None, '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': None}
-
id: 267254255
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '32.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['16.c1', '16.h1', '16.l1', '16.m1'], 'contains': ['64.e1', '64.f1'], 'core': '32.h1', 'coset_action_label': None, 'count': 8, 'diagramx': [2744, 2335, 2733, 2326], 'generators': [47235, 4225], 'label': '256.13314.32.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.h1', 'normal_contained_in': ['16.c1', '16.h1', '16.l1', '16.m1'], 'normal_contains': ['64.e1', '64.f1'], 'normalizer': '1.a1', 'old_label': '32.h1', 'projective_image': None, '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': None}
-
id: 267254256
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '32.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.d1', '16.i1', '16.l1'], 'contains': ['64.f1', '64.h1'], 'core': '32.i1', 'coset_action_label': None, 'count': 2, 'diagramx': [4658, 3873, 4640, 3857], 'generators': [39105, 36873], 'label': '256.13314.32.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.i1', 'normal_contained_in': ['16.d1', '16.i1', '16.l1'], 'normal_contains': ['64.f1', '64.h1'], 'normalizer': '1.a1', 'old_label': '32.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.i1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254257
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': ['64.j1'], 'conjugacy_class_count': 16, 'contained_in': ['2.b1'], 'contains': ['8.a1', '8.b1', '8.n1'], 'core': '4.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [6335, 6009, 6311, 5985], 'generators': [39041, 12291, 4133], 'label': '256.13314.4.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.a1', '8.b1', '8.n1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254258
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '32.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.d1', '16.j1', '16.m1', '16.n1'], 'contains': ['64.f1', '64.i1'], 'core': '32.j1', 'coset_action_label': None, 'count': 2, 'diagramx': [5848, 5515, 5825, 5492], 'generators': [36873, 4161], 'label': '256.13314.32.j1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.j1', 'normal_contained_in': ['16.d1', '16.j1', '16.m1', '16.n1'], 'normal_contains': ['64.f1', '64.i1'], 'normalizer': '1.a1', 'old_label': '32.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254259
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '32.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.e1', '16.i1', '16.o1'], 'contains': ['64.g1', '64.h1'], 'core': '32.k1', 'coset_action_label': None, 'count': 4, 'diagramx': [5160, 4967, 5141, 4947], 'generators': [39105, 36865], 'label': '256.13314.32.k1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.k1', 'normal_contained_in': ['16.e1', '16.i1', '16.o1'], 'normal_contains': ['64.g1', '64.h1'], 'normalizer': '1.a1', 'old_label': '32.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.k1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254260
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '32.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.e1', '16.j1', '16.p1', '16.q1'], 'contains': ['64.g1', '64.i1'], 'core': '32.l1', 'coset_action_label': None, 'count': 4, 'diagramx': [6931, 6638, 6904, 6610], 'generators': [36865, 4161], 'label': '256.13314.32.l1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.l1', 'normal_contained_in': ['16.e1', '16.j1', '16.p1', '16.q1'], 'normal_contains': ['64.g1', '64.i1'], 'normalizer': '1.a1', 'old_label': '32.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.l1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254261
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '32.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 16, 'contained_in': ['16.f1', '16.k1', '16.o1', '16.p1'], 'contains': ['64.g1', '64.j1'], 'core': '32.m1', 'coset_action_label': None, 'count': 16, 'diagramx': [4155, 4420, 4140, 4402], 'generators': [38917, 4225], 'label': '256.13314.32.m1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.m1', 'normal_contained_in': ['16.f1', '16.k1', '16.o1', '16.p1'], 'normal_contains': ['64.g1'], 'normalizer': '1.a1', 'old_label': '32.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.m1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254262
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '32.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.b1', 'complements': ['8.p1'], 'conjugacy_class_count': 32, 'contained_in': ['16.a1', '16.n1', '16.q1'], 'contains': ['64.i1'], 'core': '32.n1', 'coset_action_label': None, 'count': 32, 'diagramx': [8106, 7856, 8075, 7824], 'generators': [39073], 'label': '256.13314.32.n1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.n1', 'normal_contained_in': ['16.a1', '16.n1', '16.q1'], 'normal_contains': ['64.i1'], 'normalizer': '1.a1', 'old_label': '32.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.n1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254263
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '32.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['16.f1', '16.r1'], 'contains': ['64.c1', '64.j1'], 'core': '64.c1', 'coset_action_label': None, 'count': 64, 'diagramx': [2241, -1, 2233, -1], 'generators': [39041, 4229], 'label': '256.13314.32.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '32.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.o1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254264
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '32.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['16.k1', '16.r1', '16.s1'], 'contains': ['64.d1', '64.j1'], 'core': '64.d1', 'coset_action_label': None, 'count': 32, 'diagramx': [1739, -1, 1732, -1], 'generators': [38917, 36873], 'label': '256.13314.32.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '32.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.p1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254265
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['32.a1', '32.c1', '32.d1'], 'contains': ['128.a1', '128.b1'], 'core': '64.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1487, 2114, 1482, 2106], 'generators': [39041, 36873], 'label': '256.13314.64.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.c1', '32.d1'], 'normal_contains': ['128.a1', '128.b1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254266
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '64.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['32.b1', '32.d1', '32.e1'], 'contains': ['128.a1', '128.c1'], 'core': '64.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [3753, 3434, 3738, 3420], 'generators': [39041, 4225], 'label': '256.13314.64.b1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '64.b1', 'normal_contained_in': ['32.b1', '32.d1', '32.e1'], 'normal_contains': ['128.a1', '128.c1'], 'normalizer': '1.a1', 'old_label': '64.b1', 'projective_image': None, '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': None}
-
id: 267254267
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '64.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 16, 'contained_in': ['32.c1', '32.e1', '32.o1'], 'contains': ['128.a1', '128.d1'], 'core': '64.c1', 'coset_action_label': None, 'count': 16, 'diagramx': [2193, 2774, 2185, 2763], 'generators': [39041, 36865], 'label': '256.13314.64.c1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '64.c1', 'normal_contained_in': ['32.c1', '32.e1'], 'normal_contains': ['128.a1', '128.d1'], 'normalizer': '1.a1', 'old_label': '64.c1', 'projective_image': None, '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': None}
-
id: 267254268
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.d1', 'complements': ['64.e1', '64.j1'], 'conjugacy_class_count': 32, 'contained_in': ['2.c1'], 'contains': ['8.c1', '8.d1', '8.o1'], 'core': '4.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [9488, 9442, 9452, 9403], 'generators': [39041, 12387, 4229], 'label': '256.13314.4.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': ['2.c1'], 'normal_contains': ['8.c1', '8.d1', '8.o1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254269
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '64.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['32.c1', '32.f1', '32.g1', '32.p1'], 'contains': ['128.b1', '128.d1'], 'core': '64.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [1790, 2445, 1784, 2434], 'generators': [36873, 4105], 'label': '256.13314.64.d1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '64.d1', 'normal_contained_in': ['32.c1', '32.f1', '32.g1'], 'normal_contains': ['128.b1', '128.d1'], 'normalizer': '1.a1', 'old_label': '64.d1', 'projective_image': None, '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': None}
-
id: 267254270
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '64.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['4.b1'], 'conjugacy_class_count': 16, 'contained_in': ['32.a1', '32.f1', '32.h1'], 'contains': ['128.b1'], 'core': '64.e1', 'coset_action_label': None, 'count': 16, 'diagramx': [996, 1631, 992, 1625], 'generators': [47235], 'label': '256.13314.64.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.e1', 'normal_contained_in': ['32.a1', '32.f1', '32.h1'], 'normal_contains': ['128.b1'], 'normalizer': '1.a1', 'old_label': '64.e1', 'projective_image': None, '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': None}
-
id: 267254271
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '64.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.d1', '32.g1', '32.h1', '32.i1', '32.j1'], 'contains': ['128.b1', '128.c1'], 'core': '64.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [3450, 3105, 3436, 3091], 'generators': [36873, 4225], 'label': '256.13314.64.f1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '64.f1', 'normal_contained_in': ['32.d1', '32.g1', '32.h1', '32.i1', '32.j1'], 'normal_contains': ['128.b1', '128.c1'], 'normalizer': '1.a1', 'old_label': '64.f1', 'projective_image': None, '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': None}
-
id: 267254272
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '64.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.e1', '32.g1', '32.k1', '32.l1', '32.m1'], 'contains': ['128.c1', '128.d1'], 'core': '64.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [4056, 3764, 4040, 3749], 'generators': [36865, 4225], 'label': '256.13314.64.g1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '64.g1', 'normal_contained_in': ['32.e1', '32.g1', '32.k1', '32.l1', '32.m1'], 'normal_contains': ['128.c1', '128.d1'], 'normalizer': '1.a1', 'old_label': '64.g1', 'projective_image': None, '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': None}
-
id: 267254273
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '64.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['32.b1', '32.i1', '32.k1'], 'contains': ['128.c1'], 'core': '64.h1', 'coset_action_label': None, 'count': 4, 'diagramx': [4910, 4521, 4890, 4502], 'generators': [39105], 'label': '256.13314.64.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.h1', 'normal_contained_in': ['32.b1', '32.i1', '32.k1'], 'normal_contains': ['128.c1'], 'normalizer': '1.a1', 'old_label': '64.h1', 'projective_image': None, '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': None}
-
id: 267254274
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '64.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['32.b1', '32.j1', '32.l1', '32.n1'], 'contains': ['128.c1'], 'core': '64.i1', 'coset_action_label': None, 'count': 4, 'diagramx': [6351, 6062, 6326, 6037], 'generators': [36937], 'label': '256.13314.64.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.i1', 'normal_contained_in': ['32.b1', '32.j1', '32.l1', '32.n1'], 'normal_contains': ['128.c1'], 'normalizer': '1.a1', 'old_label': '64.i1', 'projective_image': None, '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': None}
-
id: 267254275
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '64.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['32.m1', '32.o1', '32.p1'], 'contains': ['128.d1'], 'core': '128.d1', 'coset_action_label': None, 'count': 32, 'diagramx': [2478, -1, 2468, -1], 'generators': [38917], 'label': '256.13314.64.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '64.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.j1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254276
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '128.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['2.d1'], 'conjugacy_class_count': 8, 'contained_in': ['64.a1', '64.b1', '64.c1'], 'contains': ['256.a1'], 'core': '128.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [2193, 2754, 2185, 2743], 'generators': [39041], 'label': '256.13314.128.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '128.a1', 'normal_contained_in': ['64.a1', '64.b1', '64.c1'], 'normal_contains': ['256.a1'], 'normalizer': '1.a1', 'old_label': '128.a1', 'projective_image': None, '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': None}
-
id: 267254277
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '128.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['64.a1', '64.d1', '64.e1', '64.f1'], 'contains': ['256.a1'], 'core': '128.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1790, 2445, 1784, 2434], 'generators': [36873], 'label': '256.13314.128.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '128.b1', 'normal_contained_in': ['64.a1', '64.d1', '64.e1', '64.f1'], 'normal_contains': ['256.a1'], 'normalizer': '1.a1', 'old_label': '128.b1', 'projective_image': None, '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': None}
-
id: 267254278
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '128.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.b1', '64.f1', '64.g1', '64.h1', '64.i1'], 'contains': ['256.a1'], 'core': '128.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3905, 3599, 3889, 3585], 'generators': [4225], 'label': '256.13314.128.c1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '128.c1', 'normal_contained_in': ['64.b1', '64.f1', '64.g1', '64.h1', '64.i1'], 'normal_contains': ['256.a1'], 'normalizer': '1.a1', 'old_label': '128.c1', 'projective_image': None, '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': None}
-
id: 267254279
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.a1'], 'contains': ['8.e1', '8.g1', '8.h1', '8.p1'], 'core': '4.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [2234, 2175, 2225, 2166], 'generators': [39041, 12291, 4229, 4225], 'label': '256.13314.4.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.e1', '8.g1', '8.h1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 267254280
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id: 267254281
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '256.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['128.a1', '128.b1', '128.c1', '128.d1'], 'contains': [], 'core': '256.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2326, 2899, 2317, 2887], 'generators': [], 'label': '256.13314.256.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '256.a1', 'normal_contained_in': ['128.a1', '128.b1', '128.c1', '128.d1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '256.a1', 'projective_image': None, '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': None}
-
id: 267254282
{'ambient': '256.13314', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.a1', '8.e1', '8.f1', '8.i1', '8.j1'], 'core': '4.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [4654, 4179, 4636, 4162], 'generators': [39041, 12291, 4105, 4161], 'label': '256.13314.4.d1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.a1', '8.e1', '8.f1', '8.i1', '8.j1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': None}