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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '96.161', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 20, 'aut_gen_orders': [4, 4, 4, 4, 20, 4, 4, 4], 'aut_gens': [[1, 2, 16], [489, 446, 600], [481, 494, 284], [481, 783, 852], [489, 535, 856], [9, 819, 20], [9, 727, 796], [481, 578, 696], [1, 683, 696]], 'aut_group': None, 'aut_hash': 7334585736378941934, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 40960, 'aut_permdeg': 162, 'aut_perms': [12044981827147366328395607687718509140608360233112697698651256374515306612346808210416624536294308548028809665182341174604608802076243131887784052740257666909477519661300099243048846451764221512293111305363536018265061381224407201749986756538318118791349893005244938096477030321621493296943, 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7684842177144052536, 'autcent_nilpotent': True, 'autcent_order': 1024, 'autcent_solvable': True, 'autcent_split': None, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^8.C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 20, 'autcentquo_group': None, 'autcentquo_hash': 12, 'autcentquo_nilpotent': False, 'autcentquo_order': 40, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times F_5', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [3, 1, 2], [4, 1, 12], [4, 2, 6], [5, 2, 2], [6, 1, 6], [6, 2, 4], [8, 10, 16], [10, 2, 14], [12, 1, 24], [12, 2, 12], [15, 2, 4], [20, 2, 48], [24, 10, 32], [30, 2, 28], [60, 2, 96]], 'center_label': '48.20', 'center_order': 48, 'central_product': True, 'central_quotient': '20.4', 'commutator_count': 1, 'commutator_label': '10.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 4014, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['4.1', 1], ['80.10', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [3, 1, 2, 1], [4, 1, 2, 6], [4, 2, 1, 2], [4, 2, 2, 2], [5, 2, 2, 1], [6, 1, 2, 3], [6, 2, 2, 2], [8, 10, 2, 8], [10, 2, 2, 3], [10, 2, 4, 2], [12, 1, 4, 6], [12, 2, 2, 2], [12, 2, 4, 2], [15, 2, 4, 1], [20, 2, 4, 8], [20, 2, 8, 2], [24, 10, 4, 8], [30, 2, 4, 3], [30, 2, 8, 2], [60, 2, 8, 8], [60, 2, 16, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 6552, 'exponent': 120, 'exponents_of_order': [6, 1, 1], 'factors_of_aut_order': [2, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.2', 'frattini_quotient': '120.44', 'hash': 4014, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 10, 'inner_gen_orders': [2, 2, 5], 'inner_gens': [[1, 10, 16], [9, 2, 784], [1, 194, 16]], 'inner_hash': 4, 'inner_nilpotent': False, 'inner_order': 20, 'inner_split': False, 'inner_tex': 'D_{10}', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 96], [2, 216]], 'label': '960.4014', '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': 'C60:OD16', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 34, 'number_characteristic_subgroups': 42, 'number_conjugacy_classes': 312, 'number_divisions': 80, 'number_normal_subgroups': 190, 'number_subgroup_autclasses': 124, 'number_subgroup_classes': 284, 'number_subgroups': 540, 'old_label': None, 'order': 960, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 7], [3, 2], [4, 24], [5, 4], [6, 14], [8, 160], [10, 28], [12, 48], [15, 8], [20, 96], [24, 320], [30, 56], [60, 192]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [4, 2, 4, 4, 4, 4, 4, 4], 'outer_gen_pows': [0, 11, 0, 0, 192, 0, 0, 0], 'outer_gens': [[489, 446, 600], [481, 494, 284], [481, 783, 852], [489, 535, 856], [9, 819, 20], [9, 727, 796], [481, 578, 696], [1, 683, 696]], 'outer_group': None, 'outer_hash': 8341423233274983626, 'outer_nilpotent': True, 'outer_order': 2048, 'outer_permdeg': 512, 'outer_perms': 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'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^6.C_2^5', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 4, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 20], [4, 24], [8, 16], [16, 8], [32, 4]], 'representations': {'PC': {'code': 4679973276712839409026215759369151201017863, 'gens': [1, 2, 5], 'pres': [8, -2, -2, -2, -2, -2, -2, -3, -5, 161, 41, 66, 15692, 116, 14605, 141, 7182, 222, 24591]}, 'GLZN': {'d': 2, 'p': 65, 'gens': [3844764, 5767146, 4394016, 275471, 7414902, 4543679, 3295512, 12316234]}, 'Perm': {'d': 20, 'gens': [135205777010345040, 19583911918771207, 262560264661094417, 43545600, 392013488721254400, 7, 262560264661094400, 46800]}}, 'schur_multiplier': [2, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4, 12], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{60}:\\OD_{16}', 'transitive_degree': 480, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
Hide schema
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id: 143008788
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 4014, 'group_order': 960, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
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id: 143008899
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 4014, 'group_order': 960, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 8, 'size': 1}
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id: 143009010
{'aut_label': '2B', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 4014, 'group_order': 960, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 480, 'size': 1}
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id: 143009034
{'aut_label': '2B', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 4014, 'group_order': 960, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 488, 'size': 1}
-
id: 143009045
{'aut_label': '2D', 'centralizer': '2.a1', 'counter': 5, 'group_counter': 4014, 'group_order': 960, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 1, 'size': 2}
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id: 143009056
{'aut_label': '2D', 'centralizer': '2.a1', 'counter': 6, 'group_counter': 4014, 'group_order': 960, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 481, 'size': 2}
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id: 143009067
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 4014, 'group_order': 960, 'label': '3A1', 'order': 3, 'powers': [8, 1, 8], 'representative': 320, 'size': 1}
-
id: 143009078
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 4014, 'group_order': 960, 'label': '3A-1', 'order': 3, 'powers': [7, 1, 7], 'representative': 640, 'size': 1}
-
id: 143009089
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 9, 'group_counter': 4014, 'group_order': 960, 'label': '4A1', 'order': 4, 'powers': [2, 10, 9], 'representative': 12, 'size': 1}
-
id: 143008789
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 10, 'group_counter': 4014, 'group_order': 960, 'label': '4A-1', 'order': 4, 'powers': [2, 9, 10], 'representative': 4, 'size': 1}
-
id: 143008800
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 11, 'group_counter': 4014, 'group_order': 960, 'label': '4B1', 'order': 4, 'powers': [2, 12, 11], 'representative': 492, 'size': 1}
-
id: 143008811
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 12, 'group_counter': 4014, 'group_order': 960, 'label': '4B-1', 'order': 4, 'powers': [2, 11, 12], 'representative': 484, 'size': 1}
-
id: 143008822
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 4014, 'group_order': 960, 'label': '4C1', 'order': 4, 'powers': [3, 14, 13], 'representative': 240, 'size': 1}
-
id: 143008833
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 4014, 'group_order': 960, 'label': '4C-1', 'order': 4, 'powers': [3, 13, 14], 'representative': 720, 'size': 1}
-
id: 143008844
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 15, 'group_counter': 4014, 'group_order': 960, 'label': '4D1', 'order': 4, 'powers': [3, 16, 15], 'representative': 248, 'size': 1}
-
id: 143008855
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 16, 'group_counter': 4014, 'group_order': 960, 'label': '4D-1', 'order': 4, 'powers': [3, 15, 16], 'representative': 728, 'size': 1}
-
id: 143008866
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 17, 'group_counter': 4014, 'group_order': 960, 'label': '4E1', 'order': 4, 'powers': [4, 18, 17], 'representative': 252, 'size': 1}
-
id: 143008877
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 18, 'group_counter': 4014, 'group_order': 960, 'label': '4E-1', 'order': 4, 'powers': [4, 17, 18], 'representative': 724, 'size': 1}
-
id: 143008888
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 19, 'group_counter': 4014, 'group_order': 960, 'label': '4F1', 'order': 4, 'powers': [4, 20, 19], 'representative': 244, 'size': 1}
-
id: 143008900
{'aut_label': '4C1', 'centralizer': '1.a1', 'counter': 20, 'group_counter': 4014, 'group_order': 960, 'label': '4F-1', 'order': 4, 'powers': [4, 19, 20], 'representative': 732, 'size': 1}
-
id: 143008911
{'aut_label': '4G', 'centralizer': '2.a1', 'counter': 21, 'group_counter': 4014, 'group_order': 960, 'label': '4G', 'order': 4, 'powers': [2, 21, 21], 'representative': 13, 'size': 2}
-
id: 143008922
{'aut_label': '4G', 'centralizer': '2.a1', 'counter': 22, 'group_counter': 4014, 'group_order': 960, 'label': '4H', 'order': 4, 'powers': [2, 22, 22], 'representative': 493, 'size': 2}
-
id: 143008933
{'aut_label': '4I1', 'centralizer': '2.a1', 'counter': 23, 'group_counter': 4014, 'group_order': 960, 'label': '4I1', 'order': 4, 'powers': [3, 24, 23], 'representative': 241, 'size': 2}
-
id: 143008944
{'aut_label': '4I1', 'centralizer': '2.a1', 'counter': 24, 'group_counter': 4014, 'group_order': 960, 'label': '4I-1', 'order': 4, 'powers': [3, 23, 24], 'representative': 721, 'size': 2}
-
id: 143008955
{'aut_label': '4I1', 'centralizer': '2.a1', 'counter': 25, 'group_counter': 4014, 'group_order': 960, 'label': '4J1', 'order': 4, 'powers': [4, 26, 25], 'representative': 253, 'size': 2}
-
id: 143008966
{'aut_label': '4I1', 'centralizer': '2.a1', 'counter': 26, 'group_counter': 4014, 'group_order': 960, 'label': '4J-1', 'order': 4, 'powers': [4, 25, 26], 'representative': 725, 'size': 2}
-
id: 143008977
{'aut_label': '5A1', 'centralizer': '2.a1', 'counter': 27, 'group_counter': 4014, 'group_order': 960, 'label': '5A1', 'order': 5, 'powers': [28, 28, 1], 'representative': 384, 'size': 2}
-
id: 143008988
{'aut_label': '5A1', 'centralizer': '2.a1', 'counter': 28, 'group_counter': 4014, 'group_order': 960, 'label': '5A2', 'order': 5, 'powers': [27, 27, 1], 'representative': 768, 'size': 2}
-
id: 143008999
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 29, 'group_counter': 4014, 'group_order': 960, 'label': '6A1', 'order': 6, 'powers': [7, 2, 30], 'representative': 648, 'size': 1}
-
id: 143009011
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 30, 'group_counter': 4014, 'group_order': 960, 'label': '6A-1', 'order': 6, 'powers': [8, 2, 29], 'representative': 328, 'size': 1}
-
id: 143009022
{'aut_label': '6B1', 'centralizer': '1.a1', 'counter': 31, 'group_counter': 4014, 'group_order': 960, 'label': '6B1', 'order': 6, 'powers': [7, 3, 32], 'representative': 160, 'size': 1}
-
id: 143009026
{'aut_label': '6B1', 'centralizer': '1.a1', 'counter': 32, 'group_counter': 4014, 'group_order': 960, 'label': '6B-1', 'order': 6, 'powers': [8, 3, 31], 'representative': 800, 'size': 1}
-
id: 143009027
{'aut_label': '6B1', 'centralizer': '1.a1', 'counter': 33, 'group_counter': 4014, 'group_order': 960, 'label': '6C1', 'order': 6, 'powers': [7, 4, 34], 'representative': 168, 'size': 1}
-
id: 143009028
{'aut_label': '6B1', 'centralizer': '1.a1', 'counter': 34, 'group_counter': 4014, 'group_order': 960, 'label': '6C-1', 'order': 6, 'powers': [8, 4, 33], 'representative': 808, 'size': 1}
-
id: 143009029
{'aut_label': '6D1', 'centralizer': '2.a1', 'counter': 35, 'group_counter': 4014, 'group_order': 960, 'label': '6D1', 'order': 6, 'powers': [8, 5, 36], 'representative': 321, 'size': 2}
-
id: 143009030
{'aut_label': '6D1', 'centralizer': '2.a1', 'counter': 36, 'group_counter': 4014, 'group_order': 960, 'label': '6D-1', 'order': 6, 'powers': [7, 5, 35], 'representative': 641, 'size': 2}
-
id: 143009031
{'aut_label': '6D1', 'centralizer': '2.a1', 'counter': 37, 'group_counter': 4014, 'group_order': 960, 'label': '6E1', 'order': 6, 'powers': [7, 6, 38], 'representative': 161, 'size': 2}
-
id: 143009032
{'aut_label': '6D1', 'centralizer': '2.a1', 'counter': 38, 'group_counter': 4014, 'group_order': 960, 'label': '6E-1', 'order': 6, 'powers': [8, 6, 37], 'representative': 801, 'size': 2}
-
id: 143009033
{'aut_label': '8A1', 'centralizer': '10.c1', 'counter': 39, 'group_counter': 4014, 'group_order': 960, 'label': '8A1', 'order': 8, 'powers': [9, 40, 39], 'representative': 390, 'size': 10}
-
id: 143009035
{'aut_label': '8A1', 'centralizer': '10.c1', 'counter': 40, 'group_counter': 4014, 'group_order': 960, 'label': '8A-1', 'order': 8, 'powers': [10, 39, 40], 'representative': 394, 'size': 10}
-
id: 143009036
{'aut_label': '8A1', 'centralizer': '10.c1', 'counter': 41, 'group_counter': 4014, 'group_order': 960, 'label': '8B1', 'order': 8, 'powers': [9, 42, 41], 'representative': 678, 'size': 10}
-
id: 143009037
{'aut_label': '8A1', 'centralizer': '10.c1', 'counter': 42, 'group_counter': 4014, 'group_order': 960, 'label': '8B-1', 'order': 8, 'powers': [10, 41, 42], 'representative': 682, 'size': 10}
-
id: 143009038
{'aut_label': '8A1', 'centralizer': '10.c1', 'counter': 43, 'group_counter': 4014, 'group_order': 960, 'label': '8C1', 'order': 8, 'powers': [11, 44, 43], 'representative': 822, 'size': 10}
-
id: 143009039
{'aut_label': '8A1', 'centralizer': '10.c1', 'counter': 44, 'group_counter': 4014, 'group_order': 960, 'label': '8C-1', 'order': 8, 'powers': [12, 43, 44], 'representative': 346, 'size': 10}
-
id: 143009040
{'aut_label': '8A1', 'centralizer': '10.c1', 'counter': 45, 'group_counter': 4014, 'group_order': 960, 'label': '8D1', 'order': 8, 'powers': [12, 46, 45], 'representative': 818, 'size': 10}
-
id: 143009041
{'aut_label': '8A1', 'centralizer': '10.c1', 'counter': 46, 'group_counter': 4014, 'group_order': 960, 'label': '8D-1', 'order': 8, 'powers': [11, 45, 46], 'representative': 350, 'size': 10}
-
id: 143009042
{'aut_label': '8A1', 'centralizer': '10.c1', 'counter': 47, 'group_counter': 4014, 'group_order': 960, 'label': '8E1', 'order': 8, 'powers': [10, 48, 47], 'representative': 399, 'size': 10}
-
id: 143009043
{'aut_label': '8A1', 'centralizer': '10.c1', 'counter': 48, 'group_counter': 4014, 'group_order': 960, 'label': '8E-1', 'order': 8, 'powers': [9, 47, 48], 'representative': 395, 'size': 10}
-
id: 143009044
{'aut_label': '8A1', 'centralizer': '10.c1', 'counter': 49, 'group_counter': 4014, 'group_order': 960, 'label': '8F1', 'order': 8, 'powers': [10, 50, 49], 'representative': 687, 'size': 10}
-
id: 143009046
{'aut_label': '8A1', 'centralizer': '10.c1', 'counter': 50, 'group_counter': 4014, 'group_order': 960, 'label': '8F-1', 'order': 8, 'powers': [9, 49, 50], 'representative': 683, 'size': 10}
-
id: 143009047
{'aut_label': '8A1', 'centralizer': '10.c1', 'counter': 51, 'group_counter': 4014, 'group_order': 960, 'label': '8G1', 'order': 8, 'powers': [12, 52, 51], 'representative': 831, 'size': 10}
-
id: 143009048
{'aut_label': '8A1', 'centralizer': '10.c1', 'counter': 52, 'group_counter': 4014, 'group_order': 960, 'label': '8G-1', 'order': 8, 'powers': [11, 51, 52], 'representative': 347, 'size': 10}
-
id: 143009049
{'aut_label': '8A1', 'centralizer': '10.c1', 'counter': 53, 'group_counter': 4014, 'group_order': 960, 'label': '8H1', 'order': 8, 'powers': [11, 54, 53], 'representative': 827, 'size': 10}
-
id: 143009050
{'aut_label': '8A1', 'centralizer': '10.c1', 'counter': 54, 'group_counter': 4014, 'group_order': 960, 'label': '8H-1', 'order': 8, 'powers': [12, 53, 54], 'representative': 351, 'size': 10}
-
id: 143009051
{'aut_label': '10A1', 'centralizer': '2.a1', 'counter': 55, 'group_counter': 4014, 'group_order': 960, 'label': '10A1', 'order': 10, 'powers': [28, 56, 3], 'representative': 96, 'size': 2}
-
id: 143009052
{'aut_label': '10A1', 'centralizer': '2.a1', 'counter': 56, 'group_counter': 4014, 'group_order': 960, 'label': '10A3', 'order': 10, 'powers': [27, 55, 3], 'representative': 288, 'size': 2}
-
id: 143009053
{'aut_label': '10B1', 'centralizer': '2.a1', 'counter': 57, 'group_counter': 4014, 'group_order': 960, 'label': '10B1', 'order': 10, 'powers': [28, 58, 2], 'representative': 392, 'size': 2}
-
id: 143009054
{'aut_label': '10B1', 'centralizer': '2.a1', 'counter': 58, 'group_counter': 4014, 'group_order': 960, 'label': '10B3', 'order': 10, 'powers': [27, 57, 2], 'representative': 200, 'size': 2}
-
id: 143009055
{'aut_label': '10A1', 'centralizer': '2.a1', 'counter': 59, 'group_counter': 4014, 'group_order': 960, 'label': '10C1', 'order': 10, 'powers': [28, 60, 4], 'representative': 104, 'size': 2}
-
id: 143009057
{'aut_label': '10A1', 'centralizer': '2.a1', 'counter': 60, 'group_counter': 4014, 'group_order': 960, 'label': '10C3', 'order': 10, 'powers': [27, 59, 4], 'representative': 296, 'size': 2}
-
id: 143009058
{'aut_label': '10D1', 'centralizer': '2.a1', 'counter': 61, 'group_counter': 4014, 'group_order': 960, 'label': '10D1', 'order': 10, 'powers': [27, 63, 5], 'representative': 193, 'size': 2}
-
id: 143009059
{'aut_label': '10D1', 'centralizer': '2.a1', 'counter': 62, 'group_counter': 4014, 'group_order': 960, 'label': '10D-1', 'order': 10, 'powers': [27, 64, 5], 'representative': 769, 'size': 2}
-
id: 143009060
{'aut_label': '10D1', 'centralizer': '2.a1', 'counter': 63, 'group_counter': 4014, 'group_order': 960, 'label': '10D3', 'order': 10, 'powers': [28, 62, 5], 'representative': 577, 'size': 2}
-
id: 143009061
{'aut_label': '10D1', 'centralizer': '2.a1', 'counter': 64, 'group_counter': 4014, 'group_order': 960, 'label': '10D-3', 'order': 10, 'powers': [28, 61, 5], 'representative': 385, 'size': 2}
-
id: 143009062
{'aut_label': '10D1', 'centralizer': '2.a1', 'counter': 65, 'group_counter': 4014, 'group_order': 960, 'label': '10E1', 'order': 10, 'powers': [28, 67, 6], 'representative': 97, 'size': 2}
-
id: 143009063
{'aut_label': '10D1', 'centralizer': '2.a1', 'counter': 66, 'group_counter': 4014, 'group_order': 960, 'label': '10E-1', 'order': 10, 'powers': [28, 68, 6], 'representative': 865, 'size': 2}
-
id: 143009064
{'aut_label': '10D1', 'centralizer': '2.a1', 'counter': 67, 'group_counter': 4014, 'group_order': 960, 'label': '10E3', 'order': 10, 'powers': [27, 66, 6], 'representative': 289, 'size': 2}
-
id: 143009065
{'aut_label': '10D1', 'centralizer': '2.a1', 'counter': 68, 'group_counter': 4014, 'group_order': 960, 'label': '10E-3', 'order': 10, 'powers': [27, 65, 6], 'representative': 673, 'size': 2}
-
id: 143009066
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 69, 'group_counter': 4014, 'group_order': 960, 'label': '12A1', 'order': 12, 'powers': [29, 9, 71], 'representative': 324, 'size': 1}
-
id: 143009068
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 70, 'group_counter': 4014, 'group_order': 960, 'label': '12A-1', 'order': 12, 'powers': [30, 10, 72], 'representative': 652, 'size': 1}
-
id: 143009069
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 71, 'group_counter': 4014, 'group_order': 960, 'label': '12A5', 'order': 12, 'powers': [30, 9, 69], 'representative': 644, 'size': 1}
-
id: 143009070
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 72, 'group_counter': 4014, 'group_order': 960, 'label': '12A-5', 'order': 12, 'powers': [29, 10, 70], 'representative': 332, 'size': 1}
-
id: 143009071
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 73, 'group_counter': 4014, 'group_order': 960, 'label': '12B1', 'order': 12, 'powers': [29, 11, 75], 'representative': 804, 'size': 1}
-
id: 143009072
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 74, 'group_counter': 4014, 'group_order': 960, 'label': '12B-1', 'order': 12, 'powers': [30, 12, 76], 'representative': 172, 'size': 1}
-
id: 143009073
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 75, 'group_counter': 4014, 'group_order': 960, 'label': '12B5', 'order': 12, 'powers': [30, 11, 73], 'representative': 164, 'size': 1}
-
id: 143009074
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 76, 'group_counter': 4014, 'group_order': 960, 'label': '12B-5', 'order': 12, 'powers': [29, 12, 74], 'representative': 812, 'size': 1}
-
id: 143009075
{'aut_label': '12C1', 'centralizer': '1.a1', 'counter': 77, 'group_counter': 4014, 'group_order': 960, 'label': '12C1', 'order': 12, 'powers': [31, 13, 79], 'representative': 80, 'size': 1}
-
id: 143009076
{'aut_label': '12C1', 'centralizer': '1.a1', 'counter': 78, 'group_counter': 4014, 'group_order': 960, 'label': '12C-1', 'order': 12, 'powers': [32, 14, 80], 'representative': 880, 'size': 1}
-
id: 143009077
{'aut_label': '12C1', 'centralizer': '1.a1', 'counter': 79, 'group_counter': 4014, 'group_order': 960, 'label': '12C5', 'order': 12, 'powers': [32, 13, 77], 'representative': 400, 'size': 1}
-
id: 143009079
{'aut_label': '12C1', 'centralizer': '1.a1', 'counter': 80, 'group_counter': 4014, 'group_order': 960, 'label': '12C-5', 'order': 12, 'powers': [31, 14, 78], 'representative': 560, 'size': 1}
-
id: 143009080
{'aut_label': '12C1', 'centralizer': '1.a1', 'counter': 81, 'group_counter': 4014, 'group_order': 960, 'label': '12D1', 'order': 12, 'powers': [31, 15, 83], 'representative': 88, 'size': 1}
-
id: 143009081
{'aut_label': '12C1', 'centralizer': '1.a1', 'counter': 82, 'group_counter': 4014, 'group_order': 960, 'label': '12D-1', 'order': 12, 'powers': [32, 16, 84], 'representative': 888, 'size': 1}
-
id: 143009082
{'aut_label': '12C1', 'centralizer': '1.a1', 'counter': 83, 'group_counter': 4014, 'group_order': 960, 'label': '12D5', 'order': 12, 'powers': [32, 15, 81], 'representative': 408, 'size': 1}
-
id: 143009083
{'aut_label': '12C1', 'centralizer': '1.a1', 'counter': 84, 'group_counter': 4014, 'group_order': 960, 'label': '12D-5', 'order': 12, 'powers': [31, 16, 82], 'representative': 568, 'size': 1}
-
id: 143009084
{'aut_label': '12C1', 'centralizer': '1.a1', 'counter': 85, 'group_counter': 4014, 'group_order': 960, 'label': '12E1', 'order': 12, 'powers': [33, 17, 87], 'representative': 84, 'size': 1}
-
id: 143009085
{'aut_label': '12C1', 'centralizer': '1.a1', 'counter': 86, 'group_counter': 4014, 'group_order': 960, 'label': '12E-1', 'order': 12, 'powers': [34, 18, 88], 'representative': 892, 'size': 1}
-
id: 143009086
{'aut_label': '12C1', 'centralizer': '1.a1', 'counter': 87, 'group_counter': 4014, 'group_order': 960, 'label': '12E5', 'order': 12, 'powers': [34, 17, 85], 'representative': 404, 'size': 1}
-
id: 143009087
{'aut_label': '12C1', 'centralizer': '1.a1', 'counter': 88, 'group_counter': 4014, 'group_order': 960, 'label': '12E-5', 'order': 12, 'powers': [33, 18, 86], 'representative': 572, 'size': 1}
-
id: 143009088
{'aut_label': '12C1', 'centralizer': '1.a1', 'counter': 89, 'group_counter': 4014, 'group_order': 960, 'label': '12F1', 'order': 12, 'powers': [33, 19, 91], 'representative': 92, 'size': 1}
-
id: 143009090
{'aut_label': '12C1', 'centralizer': '1.a1', 'counter': 90, 'group_counter': 4014, 'group_order': 960, 'label': '12F-1', 'order': 12, 'powers': [34, 20, 92], 'representative': 884, 'size': 1}
-
id: 143009091
{'aut_label': '12C1', 'centralizer': '1.a1', 'counter': 91, 'group_counter': 4014, 'group_order': 960, 'label': '12F5', 'order': 12, 'powers': [34, 19, 89], 'representative': 412, 'size': 1}
-
id: 143009092
{'aut_label': '12C1', 'centralizer': '1.a1', 'counter': 92, 'group_counter': 4014, 'group_order': 960, 'label': '12F-5', 'order': 12, 'powers': [33, 20, 90], 'representative': 564, 'size': 1}
-
id: 143009093
{'aut_label': '12G1', 'centralizer': '2.a1', 'counter': 93, 'group_counter': 4014, 'group_order': 960, 'label': '12G1', 'order': 12, 'powers': [29, 21, 94], 'representative': 325, 'size': 2}
-
id: 143009094
{'aut_label': '12G1', 'centralizer': '2.a1', 'counter': 94, 'group_counter': 4014, 'group_order': 960, 'label': '12G-1', 'order': 12, 'powers': [30, 21, 93], 'representative': 653, 'size': 2}
-
id: 143009095
{'aut_label': '12G1', 'centralizer': '2.a1', 'counter': 95, 'group_counter': 4014, 'group_order': 960, 'label': '12H1', 'order': 12, 'powers': [30, 22, 96], 'representative': 165, 'size': 2}
-
id: 143009096
{'aut_label': '12G1', 'centralizer': '2.a1', 'counter': 96, 'group_counter': 4014, 'group_order': 960, 'label': '12H-1', 'order': 12, 'powers': [29, 22, 95], 'representative': 813, 'size': 2}
-
id: 143009097
{'aut_label': '12I1', 'centralizer': '2.a1', 'counter': 97, 'group_counter': 4014, 'group_order': 960, 'label': '12I1', 'order': 12, 'powers': [31, 23, 99], 'representative': 81, 'size': 2}
-
id: 143009098
{'aut_label': '12I1', 'centralizer': '2.a1', 'counter': 98, 'group_counter': 4014, 'group_order': 960, 'label': '12I-1', 'order': 12, 'powers': [32, 24, 100], 'representative': 881, 'size': 2}
-
id: 143009099
{'aut_label': '12I1', 'centralizer': '2.a1', 'counter': 99, 'group_counter': 4014, 'group_order': 960, 'label': '12I5', 'order': 12, 'powers': [32, 23, 97], 'representative': 401, 'size': 2}
-
id: 143008790
{'aut_label': '12I1', 'centralizer': '2.a1', 'counter': 100, 'group_counter': 4014, 'group_order': 960, 'label': '12I-5', 'order': 12, 'powers': [31, 24, 98], 'representative': 561, 'size': 2}
-
id: 143008791
{'aut_label': '12I1', 'centralizer': '2.a1', 'counter': 101, 'group_counter': 4014, 'group_order': 960, 'label': '12J1', 'order': 12, 'powers': [33, 25, 103], 'representative': 85, 'size': 2}
-
id: 143008792
{'aut_label': '12I1', 'centralizer': '2.a1', 'counter': 102, 'group_counter': 4014, 'group_order': 960, 'label': '12J-1', 'order': 12, 'powers': [34, 26, 104], 'representative': 893, 'size': 2}
-
id: 143008793
{'aut_label': '12I1', 'centralizer': '2.a1', 'counter': 103, 'group_counter': 4014, 'group_order': 960, 'label': '12J5', 'order': 12, 'powers': [34, 25, 101], 'representative': 405, 'size': 2}
-
id: 143008794
{'aut_label': '12I1', 'centralizer': '2.a1', 'counter': 104, 'group_counter': 4014, 'group_order': 960, 'label': '12J-5', 'order': 12, 'powers': [33, 26, 102], 'representative': 573, 'size': 2}
-
id: 143008795
{'aut_label': '15A1', 'centralizer': '2.a1', 'counter': 105, 'group_counter': 4014, 'group_order': 960, 'label': '15A1', 'order': 15, 'powers': [107, 27, 8], 'representative': 128, 'size': 2}
-
id: 143008796
{'aut_label': '15A1', 'centralizer': '2.a1', 'counter': 106, 'group_counter': 4014, 'group_order': 960, 'label': '15A-1', 'order': 15, 'powers': [108, 27, 7], 'representative': 832, 'size': 2}
-
id: 143008797
{'aut_label': '15A1', 'centralizer': '2.a1', 'counter': 107, 'group_counter': 4014, 'group_order': 960, 'label': '15A2', 'order': 15, 'powers': [105, 28, 7], 'representative': 256, 'size': 2}
-
id: 143008798
{'aut_label': '15A1', 'centralizer': '2.a1', 'counter': 108, 'group_counter': 4014, 'group_order': 960, 'label': '15A-2', 'order': 15, 'powers': [106, 28, 8], 'representative': 704, 'size': 2}
-
id: 143008799
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 109, 'group_counter': 4014, 'group_order': 960, 'label': '20A1', 'order': 20, 'powers': [55, 111, 13], 'representative': 48, 'size': 2}
-
id: 143008801
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 110, 'group_counter': 4014, 'group_order': 960, 'label': '20A-1', 'order': 20, 'powers': [55, 112, 14], 'representative': 912, 'size': 2}
-
id: 143008802
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 111, 'group_counter': 4014, 'group_order': 960, 'label': '20A3', 'order': 20, 'powers': [56, 109, 14], 'representative': 144, 'size': 2}
-
id: 143008803
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 112, 'group_counter': 4014, 'group_order': 960, 'label': '20A-3', 'order': 20, 'powers': [56, 110, 13], 'representative': 816, 'size': 2}
-
id: 143008804
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 113, 'group_counter': 4014, 'group_order': 960, 'label': '20B1', 'order': 20, 'powers': [55, 115, 15], 'representative': 56, 'size': 2}
-
id: 143008805
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 114, 'group_counter': 4014, 'group_order': 960, 'label': '20B-1', 'order': 20, 'powers': [55, 116, 16], 'representative': 920, 'size': 2}
-
id: 143008806
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 115, 'group_counter': 4014, 'group_order': 960, 'label': '20B3', 'order': 20, 'powers': [56, 113, 16], 'representative': 152, 'size': 2}
-
id: 143008807
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 116, 'group_counter': 4014, 'group_order': 960, 'label': '20B-3', 'order': 20, 'powers': [56, 114, 15], 'representative': 824, 'size': 2}
-
id: 143008808
{'aut_label': '20C1', 'centralizer': '2.a1', 'counter': 117, 'group_counter': 4014, 'group_order': 960, 'label': '20C1', 'order': 20, 'powers': [57, 119, 9], 'representative': 204, 'size': 2}
-
id: 143008809
{'aut_label': '20C1', 'centralizer': '2.a1', 'counter': 118, 'group_counter': 4014, 'group_order': 960, 'label': '20C-1', 'order': 20, 'powers': [57, 120, 10], 'representative': 772, 'size': 2}
-
id: 143008810
{'aut_label': '20C1', 'centralizer': '2.a1', 'counter': 119, 'group_counter': 4014, 'group_order': 960, 'label': '20C3', 'order': 20, 'powers': [58, 117, 10], 'representative': 580, 'size': 2}
-
id: 143008812
{'aut_label': '20C1', 'centralizer': '2.a1', 'counter': 120, 'group_counter': 4014, 'group_order': 960, 'label': '20C-3', 'order': 20, 'powers': [58, 118, 9], 'representative': 396, 'size': 2}
-
id: 143008813
{'aut_label': '20C1', 'centralizer': '2.a1', 'counter': 121, 'group_counter': 4014, 'group_order': 960, 'label': '20D1', 'order': 20, 'powers': [58, 123, 11], 'representative': 108, 'size': 2}
-
id: 143008814
{'aut_label': '20C1', 'centralizer': '2.a1', 'counter': 122, 'group_counter': 4014, 'group_order': 960, 'label': '20D-1', 'order': 20, 'powers': [58, 124, 12], 'representative': 868, 'size': 2}
-
id: 143008815
{'aut_label': '20C1', 'centralizer': '2.a1', 'counter': 123, 'group_counter': 4014, 'group_order': 960, 'label': '20D3', 'order': 20, 'powers': [57, 121, 12], 'representative': 292, 'size': 2}
-
id: 143008816
{'aut_label': '20C1', 'centralizer': '2.a1', 'counter': 124, 'group_counter': 4014, 'group_order': 960, 'label': '20D-3', 'order': 20, 'powers': [57, 122, 11], 'representative': 684, 'size': 2}
-
id: 143008817
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 125, 'group_counter': 4014, 'group_order': 960, 'label': '20E1', 'order': 20, 'powers': [59, 127, 17], 'representative': 60, 'size': 2}
-
id: 143008818
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 126, 'group_counter': 4014, 'group_order': 960, 'label': '20E-1', 'order': 20, 'powers': [59, 128, 18], 'representative': 916, 'size': 2}
-
id: 143008819
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 127, 'group_counter': 4014, 'group_order': 960, 'label': '20E3', 'order': 20, 'powers': [60, 125, 18], 'representative': 148, 'size': 2}
-
id: 143008820
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 128, 'group_counter': 4014, 'group_order': 960, 'label': '20E-3', 'order': 20, 'powers': [60, 126, 17], 'representative': 828, 'size': 2}
-
id: 143008821
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 129, 'group_counter': 4014, 'group_order': 960, 'label': '20F1', 'order': 20, 'powers': [59, 131, 19], 'representative': 52, 'size': 2}
-
id: 143008823
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 130, 'group_counter': 4014, 'group_order': 960, 'label': '20F-1', 'order': 20, 'powers': [59, 132, 20], 'representative': 924, 'size': 2}
-
id: 143008824
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 131, 'group_counter': 4014, 'group_order': 960, 'label': '20F3', 'order': 20, 'powers': [60, 129, 20], 'representative': 156, 'size': 2}
-
id: 143008825
{'aut_label': '20A1', 'centralizer': '2.a1', 'counter': 132, 'group_counter': 4014, 'group_order': 960, 'label': '20F-3', 'order': 20, 'powers': [60, 130, 19], 'representative': 820, 'size': 2}
-
id: 143008826
{'aut_label': '20G1', 'centralizer': '2.a1', 'counter': 133, 'group_counter': 4014, 'group_order': 960, 'label': '20G1', 'order': 20, 'powers': [57, 134, 21], 'representative': 205, 'size': 2}
-
id: 143008827
{'aut_label': '20G1', 'centralizer': '2.a1', 'counter': 134, 'group_counter': 4014, 'group_order': 960, 'label': '20G3', 'order': 20, 'powers': [58, 136, 21], 'representative': 581, 'size': 2}
-
id: 143008828
{'aut_label': '20G1', 'centralizer': '2.a1', 'counter': 135, 'group_counter': 4014, 'group_order': 960, 'label': '20G7', 'order': 20, 'powers': [58, 133, 21], 'representative': 389, 'size': 2}
-
id: 143008829
{'aut_label': '20G1', 'centralizer': '2.a1', 'counter': 136, 'group_counter': 4014, 'group_order': 960, 'label': '20G9', 'order': 20, 'powers': [57, 135, 21], 'representative': 781, 'size': 2}
-
id: 143008830
{'aut_label': '20G1', 'centralizer': '2.a1', 'counter': 137, 'group_counter': 4014, 'group_order': 960, 'label': '20H1', 'order': 20, 'powers': [58, 138, 22], 'representative': 109, 'size': 2}
-
id: 143008831
{'aut_label': '20G1', 'centralizer': '2.a1', 'counter': 138, 'group_counter': 4014, 'group_order': 960, 'label': '20H3', 'order': 20, 'powers': [57, 140, 22], 'representative': 293, 'size': 2}
-
id: 143008832
{'aut_label': '20G1', 'centralizer': '2.a1', 'counter': 139, 'group_counter': 4014, 'group_order': 960, 'label': '20H7', 'order': 20, 'powers': [57, 137, 22], 'representative': 677, 'size': 2}
-
id: 143008834
{'aut_label': '20G1', 'centralizer': '2.a1', 'counter': 140, 'group_counter': 4014, 'group_order': 960, 'label': '20H9', 'order': 20, 'powers': [58, 139, 22], 'representative': 877, 'size': 2}
-
id: 143008835
{'aut_label': '20I1', 'centralizer': '2.a1', 'counter': 141, 'group_counter': 4014, 'group_order': 960, 'label': '20I1', 'order': 20, 'powers': [55, 143, 23], 'representative': 49, 'size': 2}
-
id: 143008836
{'aut_label': '20I1', 'centralizer': '2.a1', 'counter': 142, 'group_counter': 4014, 'group_order': 960, 'label': '20I-1', 'order': 20, 'powers': [55, 144, 24], 'representative': 913, 'size': 2}
-
id: 143008837
{'aut_label': '20I1', 'centralizer': '2.a1', 'counter': 143, 'group_counter': 4014, 'group_order': 960, 'label': '20I3', 'order': 20, 'powers': [56, 147, 24], 'representative': 145, 'size': 2}
-
id: 143008838
{'aut_label': '20I1', 'centralizer': '2.a1', 'counter': 144, 'group_counter': 4014, 'group_order': 960, 'label': '20I-3', 'order': 20, 'powers': [56, 148, 23], 'representative': 817, 'size': 2}
-
id: 143008839
{'aut_label': '20I1', 'centralizer': '2.a1', 'counter': 145, 'group_counter': 4014, 'group_order': 960, 'label': '20I7', 'order': 20, 'powers': [56, 141, 24], 'representative': 337, 'size': 2}
-
id: 143008840
{'aut_label': '20I1', 'centralizer': '2.a1', 'counter': 146, 'group_counter': 4014, 'group_order': 960, 'label': '20I-7', 'order': 20, 'powers': [56, 142, 23], 'representative': 625, 'size': 2}
-
id: 143008841
{'aut_label': '20I1', 'centralizer': '2.a1', 'counter': 147, 'group_counter': 4014, 'group_order': 960, 'label': '20I9', 'order': 20, 'powers': [55, 145, 23], 'representative': 433, 'size': 2}
-
id: 143008842
{'aut_label': '20I1', 'centralizer': '2.a1', 'counter': 148, 'group_counter': 4014, 'group_order': 960, 'label': '20I-9', 'order': 20, 'powers': [55, 146, 24], 'representative': 529, 'size': 2}
-
id: 143008843
{'aut_label': '20I1', 'centralizer': '2.a1', 'counter': 149, 'group_counter': 4014, 'group_order': 960, 'label': '20J1', 'order': 20, 'powers': [59, 151, 25], 'representative': 61, 'size': 2}
-
id: 143008845
{'aut_label': '20I1', 'centralizer': '2.a1', 'counter': 150, 'group_counter': 4014, 'group_order': 960, 'label': '20J-1', 'order': 20, 'powers': [59, 152, 26], 'representative': 917, 'size': 2}
-
id: 143008846
{'aut_label': '20I1', 'centralizer': '2.a1', 'counter': 151, 'group_counter': 4014, 'group_order': 960, 'label': '20J3', 'order': 20, 'powers': [60, 155, 26], 'representative': 149, 'size': 2}
-
id: 143008847
{'aut_label': '20I1', 'centralizer': '2.a1', 'counter': 152, 'group_counter': 4014, 'group_order': 960, 'label': '20J-3', 'order': 20, 'powers': [60, 156, 25], 'representative': 829, 'size': 2}
-
id: 143008848
{'aut_label': '20I1', 'centralizer': '2.a1', 'counter': 153, 'group_counter': 4014, 'group_order': 960, 'label': '20J7', 'order': 20, 'powers': [60, 149, 26], 'representative': 341, 'size': 2}
-
id: 143008849
{'aut_label': '20I1', 'centralizer': '2.a1', 'counter': 154, 'group_counter': 4014, 'group_order': 960, 'label': '20J-7', 'order': 20, 'powers': [60, 150, 25], 'representative': 637, 'size': 2}
-
id: 143008850
{'aut_label': '20I1', 'centralizer': '2.a1', 'counter': 155, 'group_counter': 4014, 'group_order': 960, 'label': '20J9', 'order': 20, 'powers': [59, 153, 25], 'representative': 445, 'size': 2}
-
id: 143008851
{'aut_label': '20I1', 'centralizer': '2.a1', 'counter': 156, 'group_counter': 4014, 'group_order': 960, 'label': '20J-9', 'order': 20, 'powers': [59, 154, 26], 'representative': 533, 'size': 2}
-
id: 143008852
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 157, 'group_counter': 4014, 'group_order': 960, 'label': '24A1', 'order': 24, 'powers': [69, 39, 159], 'representative': 66, 'size': 10}
-
id: 143008853
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 158, 'group_counter': 4014, 'group_order': 960, 'label': '24A-1', 'order': 24, 'powers': [70, 40, 160], 'representative': 134, 'size': 10}
-
id: 143008854
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 159, 'group_counter': 4014, 'group_order': 960, 'label': '24A5', 'order': 24, 'powers': [71, 39, 157], 'representative': 130, 'size': 10}
-
id: 143008856
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 160, 'group_counter': 4014, 'group_order': 960, 'label': '24A-5', 'order': 24, 'powers': [72, 40, 158], 'representative': 70, 'size': 10}
-
id: 143008857
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 161, 'group_counter': 4014, 'group_order': 960, 'label': '24B1', 'order': 24, 'powers': [71, 41, 163], 'representative': 34, 'size': 10}
-
id: 143008858
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 162, 'group_counter': 4014, 'group_order': 960, 'label': '24B-1', 'order': 24, 'powers': [72, 42, 164], 'representative': 166, 'size': 10}
-
id: 143008859
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 163, 'group_counter': 4014, 'group_order': 960, 'label': '24B5', 'order': 24, 'powers': [69, 41, 161], 'representative': 162, 'size': 10}
-
id: 143008860
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 164, 'group_counter': 4014, 'group_order': 960, 'label': '24B-5', 'order': 24, 'powers': [70, 42, 162], 'representative': 38, 'size': 10}
-
id: 143008861
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 165, 'group_counter': 4014, 'group_order': 960, 'label': '24C1', 'order': 24, 'powers': [73, 43, 167], 'representative': 18, 'size': 10}
-
id: 143008862
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 166, 'group_counter': 4014, 'group_order': 960, 'label': '24C-1', 'order': 24, 'powers': [74, 44, 168], 'representative': 182, 'size': 10}
-
id: 143008863
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 167, 'group_counter': 4014, 'group_order': 960, 'label': '24C5', 'order': 24, 'powers': [75, 43, 165], 'representative': 82, 'size': 10}
-
id: 143008864
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 168, 'group_counter': 4014, 'group_order': 960, 'label': '24C-5', 'order': 24, 'powers': [76, 44, 166], 'representative': 118, 'size': 10}
-
id: 143008865
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 169, 'group_counter': 4014, 'group_order': 960, 'label': '24D1', 'order': 24, 'powers': [76, 45, 171], 'representative': 22, 'size': 10}
-
id: 143008867
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 170, 'group_counter': 4014, 'group_order': 960, 'label': '24D-1', 'order': 24, 'powers': [75, 46, 172], 'representative': 178, 'size': 10}
-
id: 143008868
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 171, 'group_counter': 4014, 'group_order': 960, 'label': '24D5', 'order': 24, 'powers': [74, 45, 169], 'representative': 86, 'size': 10}
-
id: 143008869
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 172, 'group_counter': 4014, 'group_order': 960, 'label': '24D-5', 'order': 24, 'powers': [73, 46, 170], 'representative': 114, 'size': 10}
-
id: 143008870
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 173, 'group_counter': 4014, 'group_order': 960, 'label': '24E1', 'order': 24, 'powers': [72, 47, 175], 'representative': 67, 'size': 10}
-
id: 143008871
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 174, 'group_counter': 4014, 'group_order': 960, 'label': '24E-1', 'order': 24, 'powers': [71, 48, 176], 'representative': 135, 'size': 10}
-
id: 143008872
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 175, 'group_counter': 4014, 'group_order': 960, 'label': '24E5', 'order': 24, 'powers': [70, 47, 173], 'representative': 131, 'size': 10}
-
id: 143008873
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 176, 'group_counter': 4014, 'group_order': 960, 'label': '24E-5', 'order': 24, 'powers': [69, 48, 174], 'representative': 71, 'size': 10}
-
id: 143008874
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 177, 'group_counter': 4014, 'group_order': 960, 'label': '24F1', 'order': 24, 'powers': [70, 49, 179], 'representative': 35, 'size': 10}
-
id: 143008875
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 178, 'group_counter': 4014, 'group_order': 960, 'label': '24F-1', 'order': 24, 'powers': [69, 50, 180], 'representative': 167, 'size': 10}
-
id: 143008876
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 179, 'group_counter': 4014, 'group_order': 960, 'label': '24F5', 'order': 24, 'powers': [72, 49, 177], 'representative': 163, 'size': 10}
-
id: 143008878
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 180, 'group_counter': 4014, 'group_order': 960, 'label': '24F-5', 'order': 24, 'powers': [71, 50, 178], 'representative': 39, 'size': 10}
-
id: 143008879
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 181, 'group_counter': 4014, 'group_order': 960, 'label': '24G1', 'order': 24, 'powers': [76, 51, 183], 'representative': 19, 'size': 10}
-
id: 143008880
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 182, 'group_counter': 4014, 'group_order': 960, 'label': '24G-1', 'order': 24, 'powers': [75, 52, 184], 'representative': 183, 'size': 10}
-
id: 143008881
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 183, 'group_counter': 4014, 'group_order': 960, 'label': '24G5', 'order': 24, 'powers': [74, 51, 181], 'representative': 83, 'size': 10}
-
id: 143008882
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 184, 'group_counter': 4014, 'group_order': 960, 'label': '24G-5', 'order': 24, 'powers': [73, 52, 182], 'representative': 119, 'size': 10}
-
id: 143008883
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 185, 'group_counter': 4014, 'group_order': 960, 'label': '24H1', 'order': 24, 'powers': [73, 53, 187], 'representative': 23, 'size': 10}
-
id: 143008884
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 186, 'group_counter': 4014, 'group_order': 960, 'label': '24H-1', 'order': 24, 'powers': [74, 54, 188], 'representative': 179, 'size': 10}
-
id: 143008885
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 187, 'group_counter': 4014, 'group_order': 960, 'label': '24H5', 'order': 24, 'powers': [75, 53, 185], 'representative': 87, 'size': 10}
-
id: 143008886
{'aut_label': '24A1', 'centralizer': '10.c1', 'counter': 188, 'group_counter': 4014, 'group_order': 960, 'label': '24H-5', 'order': 24, 'powers': [76, 54, 186], 'representative': 115, 'size': 10}
-
id: 143008887
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 189, 'group_counter': 4014, 'group_order': 960, 'label': '30A1', 'order': 30, 'powers': [107, 55, 31], 'representative': 32, 'size': 2}
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id: 143008889
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 190, 'group_counter': 4014, 'group_order': 960, 'label': '30A-1', 'order': 30, 'powers': [108, 55, 32], 'representative': 928, 'size': 2}
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id: 143008890
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 191, 'group_counter': 4014, 'group_order': 960, 'label': '30A7', 'order': 30, 'powers': [106, 56, 31], 'representative': 224, 'size': 2}
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id: 143008891
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 192, 'group_counter': 4014, 'group_order': 960, 'label': '30A-7', 'order': 30, 'powers': [105, 56, 32], 'representative': 736, 'size': 2}
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id: 143008892
{'aut_label': '30B1', 'centralizer': '2.a1', 'counter': 193, 'group_counter': 4014, 'group_order': 960, 'label': '30B1', 'order': 30, 'powers': [107, 57, 29], 'representative': 136, 'size': 2}
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id: 143008893
{'aut_label': '30B1', 'centralizer': '2.a1', 'counter': 194, 'group_counter': 4014, 'group_order': 960, 'label': '30B-1', 'order': 30, 'powers': [108, 57, 30], 'representative': 840, 'size': 2}
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id: 143008894
{'aut_label': '30B1', 'centralizer': '2.a1', 'counter': 195, 'group_counter': 4014, 'group_order': 960, 'label': '30B7', 'order': 30, 'powers': [106, 58, 29], 'representative': 904, 'size': 2}
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id: 143008895
{'aut_label': '30B1', 'centralizer': '2.a1', 'counter': 196, 'group_counter': 4014, 'group_order': 960, 'label': '30B-7', 'order': 30, 'powers': [105, 58, 30], 'representative': 72, 'size': 2}
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id: 143008896
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 197, 'group_counter': 4014, 'group_order': 960, 'label': '30C1', 'order': 30, 'powers': [107, 59, 33], 'representative': 40, 'size': 2}
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id: 143008897
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 198, 'group_counter': 4014, 'group_order': 960, 'label': '30C-1', 'order': 30, 'powers': [108, 59, 34], 'representative': 936, 'size': 2}
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id: 143008898
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 199, 'group_counter': 4014, 'group_order': 960, 'label': '30C7', 'order': 30, 'powers': [106, 60, 33], 'representative': 232, 'size': 2}
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id: 143008901
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 200, 'group_counter': 4014, 'group_order': 960, 'label': '30C-7', 'order': 30, 'powers': [105, 60, 34], 'representative': 744, 'size': 2}
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id: 143008902
{'aut_label': '30D1', 'centralizer': '2.a1', 'counter': 201, 'group_counter': 4014, 'group_order': 960, 'label': '30D1', 'order': 30, 'powers': [105, 61, 35], 'representative': 65, 'size': 2}
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id: 143008903
{'aut_label': '30D1', 'centralizer': '2.a1', 'counter': 202, 'group_counter': 4014, 'group_order': 960, 'label': '30D-1', 'order': 30, 'powers': [106, 62, 36], 'representative': 897, 'size': 2}
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id: 143008904
{'aut_label': '30D1', 'centralizer': '2.a1', 'counter': 203, 'group_counter': 4014, 'group_order': 960, 'label': '30D7', 'order': 30, 'powers': [108, 64, 35], 'representative': 449, 'size': 2}
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id: 143008905
{'aut_label': '30D1', 'centralizer': '2.a1', 'counter': 204, 'group_counter': 4014, 'group_order': 960, 'label': '30D-7', 'order': 30, 'powers': [107, 63, 36], 'representative': 137, 'size': 2}
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id: 143008906
{'aut_label': '30D1', 'centralizer': '2.a1', 'counter': 205, 'group_counter': 4014, 'group_order': 960, 'label': '30D11', 'order': 30, 'powers': [106, 61, 36], 'representative': 705, 'size': 2}
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id: 143008907
{'aut_label': '30D1', 'centralizer': '2.a1', 'counter': 206, 'group_counter': 4014, 'group_order': 960, 'label': '30D-11', 'order': 30, 'powers': [105, 62, 35], 'representative': 257, 'size': 2}
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id: 143008908
{'aut_label': '30D1', 'centralizer': '2.a1', 'counter': 207, 'group_counter': 4014, 'group_order': 960, 'label': '30D13', 'order': 30, 'powers': [108, 63, 35], 'representative': 833, 'size': 2}
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id: 143008909
{'aut_label': '30D1', 'centralizer': '2.a1', 'counter': 208, 'group_counter': 4014, 'group_order': 960, 'label': '30D-13', 'order': 30, 'powers': [107, 64, 36], 'representative': 129, 'size': 2}
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id: 143008910
{'aut_label': '30D1', 'centralizer': '2.a1', 'counter': 209, 'group_counter': 4014, 'group_order': 960, 'label': '30E1', 'order': 30, 'powers': [107, 65, 37], 'representative': 33, 'size': 2}
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id: 143008912
{'aut_label': '30D1', 'centralizer': '2.a1', 'counter': 210, 'group_counter': 4014, 'group_order': 960, 'label': '30E-1', 'order': 30, 'powers': [108, 66, 38], 'representative': 929, 'size': 2}
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id: 143008913
{'aut_label': '30D1', 'centralizer': '2.a1', 'counter': 211, 'group_counter': 4014, 'group_order': 960, 'label': '30E7', 'order': 30, 'powers': [106, 68, 37], 'representative': 225, 'size': 2}
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id: 143008914
{'aut_label': '30D1', 'centralizer': '2.a1', 'counter': 212, 'group_counter': 4014, 'group_order': 960, 'label': '30E-7', 'order': 30, 'powers': [105, 67, 38], 'representative': 737, 'size': 2}
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id: 143008915
{'aut_label': '30D1', 'centralizer': '2.a1', 'counter': 213, 'group_counter': 4014, 'group_order': 960, 'label': '30E11', 'order': 30, 'powers': [108, 65, 38], 'representative': 353, 'size': 2}
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id: 143008916
{'aut_label': '30D1', 'centralizer': '2.a1', 'counter': 214, 'group_counter': 4014, 'group_order': 960, 'label': '30E-11', 'order': 30, 'powers': [107, 66, 37], 'representative': 41, 'size': 2}
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id: 143008917
{'aut_label': '30D1', 'centralizer': '2.a1', 'counter': 215, 'group_counter': 4014, 'group_order': 960, 'label': '30E13', 'order': 30, 'powers': [106, 67, 37], 'representative': 417, 'size': 2}
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id: 143008918
{'aut_label': '30D1', 'centralizer': '2.a1', 'counter': 216, 'group_counter': 4014, 'group_order': 960, 'label': '30E-13', 'order': 30, 'powers': [105, 68, 38], 'representative': 545, 'size': 2}
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id: 143008919
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 217, 'group_counter': 4014, 'group_order': 960, 'label': '60A1', 'order': 60, 'powers': [189, 109, 77], 'representative': 16, 'size': 2}
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id: 143008920
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 218, 'group_counter': 4014, 'group_order': 960, 'label': '60A-1', 'order': 60, 'powers': [190, 110, 78], 'representative': 176, 'size': 2}
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id: 143008921
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 219, 'group_counter': 4014, 'group_order': 960, 'label': '60A7', 'order': 60, 'powers': [191, 111, 80], 'representative': 112, 'size': 2}
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id: 143008923
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 220, 'group_counter': 4014, 'group_order': 960, 'label': '60A-7', 'order': 60, 'powers': [192, 112, 79], 'representative': 272, 'size': 2}
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id: 143008924
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 221, 'group_counter': 4014, 'group_order': 960, 'label': '60A13', 'order': 60, 'powers': [191, 112, 77], 'representative': 208, 'size': 2}
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id: 143008925
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 222, 'group_counter': 4014, 'group_order': 960, 'label': '60A-13', 'order': 60, 'powers': [192, 111, 78], 'representative': 368, 'size': 2}
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id: 143008926
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 223, 'group_counter': 4014, 'group_order': 960, 'label': '60A19', 'order': 60, 'powers': [189, 110, 80], 'representative': 304, 'size': 2}
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id: 143008927
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 224, 'group_counter': 4014, 'group_order': 960, 'label': '60A-19', 'order': 60, 'powers': [190, 109, 79], 'representative': 464, 'size': 2}
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id: 143008928
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 225, 'group_counter': 4014, 'group_order': 960, 'label': '60B1', 'order': 60, 'powers': [189, 113, 81], 'representative': 24, 'size': 2}
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id: 143008929
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 226, 'group_counter': 4014, 'group_order': 960, 'label': '60B-1', 'order': 60, 'powers': [190, 114, 82], 'representative': 184, 'size': 2}
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id: 143008930
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 227, 'group_counter': 4014, 'group_order': 960, 'label': '60B7', 'order': 60, 'powers': [191, 115, 84], 'representative': 120, 'size': 2}
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id: 143008931
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 228, 'group_counter': 4014, 'group_order': 960, 'label': '60B-7', 'order': 60, 'powers': [192, 116, 83], 'representative': 280, 'size': 2}
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id: 143008932
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 229, 'group_counter': 4014, 'group_order': 960, 'label': '60B13', 'order': 60, 'powers': [191, 116, 81], 'representative': 216, 'size': 2}
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id: 143008934
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 230, 'group_counter': 4014, 'group_order': 960, 'label': '60B-13', 'order': 60, 'powers': [192, 115, 82], 'representative': 376, 'size': 2}
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id: 143008935
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 231, 'group_counter': 4014, 'group_order': 960, 'label': '60B19', 'order': 60, 'powers': [189, 114, 84], 'representative': 312, 'size': 2}
-
id: 143008936
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 232, 'group_counter': 4014, 'group_order': 960, 'label': '60B-19', 'order': 60, 'powers': [190, 113, 83], 'representative': 472, 'size': 2}
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id: 143008937
{'aut_label': '60C1', 'centralizer': '2.a1', 'counter': 233, 'group_counter': 4014, 'group_order': 960, 'label': '60C1', 'order': 60, 'powers': [193, 117, 69], 'representative': 68, 'size': 2}
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id: 143008938
{'aut_label': '60C1', 'centralizer': '2.a1', 'counter': 234, 'group_counter': 4014, 'group_order': 960, 'label': '60C-1', 'order': 60, 'powers': [194, 118, 70], 'representative': 716, 'size': 2}
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id: 143008939
{'aut_label': '60C1', 'centralizer': '2.a1', 'counter': 235, 'group_counter': 4014, 'group_order': 960, 'label': '60C7', 'order': 60, 'powers': [195, 119, 72], 'representative': 460, 'size': 2}
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id: 143008940
{'aut_label': '60C1', 'centralizer': '2.a1', 'counter': 236, 'group_counter': 4014, 'group_order': 960, 'label': '60C-7', 'order': 60, 'powers': [196, 120, 71], 'representative': 132, 'size': 2}
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id: 143008941
{'aut_label': '60C1', 'centralizer': '2.a1', 'counter': 237, 'group_counter': 4014, 'group_order': 960, 'label': '60C13', 'order': 60, 'powers': [195, 120, 69], 'representative': 452, 'size': 2}
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id: 143008942
{'aut_label': '60C1', 'centralizer': '2.a1', 'counter': 238, 'group_counter': 4014, 'group_order': 960, 'label': '60C-13', 'order': 60, 'powers': [196, 119, 70], 'representative': 140, 'size': 2}
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id: 143008943
{'aut_label': '60C1', 'centralizer': '2.a1', 'counter': 239, 'group_counter': 4014, 'group_order': 960, 'label': '60C19', 'order': 60, 'powers': [193, 118, 72], 'representative': 76, 'size': 2}
-
id: 143008945
{'aut_label': '60C1', 'centralizer': '2.a1', 'counter': 240, 'group_counter': 4014, 'group_order': 960, 'label': '60C-19', 'order': 60, 'powers': [194, 117, 71], 'representative': 708, 'size': 2}
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id: 143008946
{'aut_label': '60C1', 'centralizer': '2.a1', 'counter': 241, 'group_counter': 4014, 'group_order': 960, 'label': '60D1', 'order': 60, 'powers': [196, 121, 75], 'representative': 36, 'size': 2}
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id: 143008947
{'aut_label': '60C1', 'centralizer': '2.a1', 'counter': 242, 'group_counter': 4014, 'group_order': 960, 'label': '60D-1', 'order': 60, 'powers': [195, 122, 76], 'representative': 364, 'size': 2}
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id: 143008948
{'aut_label': '60C1', 'centralizer': '2.a1', 'counter': 243, 'group_counter': 4014, 'group_order': 960, 'label': '60D7', 'order': 60, 'powers': [194, 123, 74], 'representative': 236, 'size': 2}
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id: 143008949
{'aut_label': '60C1', 'centralizer': '2.a1', 'counter': 244, 'group_counter': 4014, 'group_order': 960, 'label': '60D-7', 'order': 60, 'powers': [193, 124, 73], 'representative': 548, 'size': 2}
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id: 143008950
{'aut_label': '60C1', 'centralizer': '2.a1', 'counter': 245, 'group_counter': 4014, 'group_order': 960, 'label': '60D13', 'order': 60, 'powers': [194, 124, 75], 'representative': 228, 'size': 2}
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id: 143008951
{'aut_label': '60C1', 'centralizer': '2.a1', 'counter': 246, 'group_counter': 4014, 'group_order': 960, 'label': '60D-13', 'order': 60, 'powers': [193, 123, 76], 'representative': 556, 'size': 2}
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id: 143008952
{'aut_label': '60C1', 'centralizer': '2.a1', 'counter': 247, 'group_counter': 4014, 'group_order': 960, 'label': '60D19', 'order': 60, 'powers': [196, 122, 74], 'representative': 44, 'size': 2}
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id: 143008953
{'aut_label': '60C1', 'centralizer': '2.a1', 'counter': 248, 'group_counter': 4014, 'group_order': 960, 'label': '60D-19', 'order': 60, 'powers': [195, 121, 73], 'representative': 356, 'size': 2}
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id: 143008954
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 249, 'group_counter': 4014, 'group_order': 960, 'label': '60E1', 'order': 60, 'powers': [197, 125, 85], 'representative': 20, 'size': 2}
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id: 143008956
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 250, 'group_counter': 4014, 'group_order': 960, 'label': '60E-1', 'order': 60, 'powers': [198, 126, 86], 'representative': 188, 'size': 2}
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id: 143008957
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 251, 'group_counter': 4014, 'group_order': 960, 'label': '60E7', 'order': 60, 'powers': [199, 127, 88], 'representative': 124, 'size': 2}
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id: 143008958
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 252, 'group_counter': 4014, 'group_order': 960, 'label': '60E-7', 'order': 60, 'powers': [200, 128, 87], 'representative': 276, 'size': 2}
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id: 143008959
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 253, 'group_counter': 4014, 'group_order': 960, 'label': '60E13', 'order': 60, 'powers': [199, 128, 85], 'representative': 212, 'size': 2}
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id: 143008960
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 254, 'group_counter': 4014, 'group_order': 960, 'label': '60E-13', 'order': 60, 'powers': [200, 127, 86], 'representative': 380, 'size': 2}
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id: 143008961
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 255, 'group_counter': 4014, 'group_order': 960, 'label': '60E19', 'order': 60, 'powers': [197, 126, 88], 'representative': 316, 'size': 2}
-
id: 143008962
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 256, 'group_counter': 4014, 'group_order': 960, 'label': '60E-19', 'order': 60, 'powers': [198, 125, 87], 'representative': 468, 'size': 2}
-
id: 143008963
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 257, 'group_counter': 4014, 'group_order': 960, 'label': '60F1', 'order': 60, 'powers': [197, 129, 89], 'representative': 28, 'size': 2}
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id: 143008964
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 258, 'group_counter': 4014, 'group_order': 960, 'label': '60F-1', 'order': 60, 'powers': [198, 130, 90], 'representative': 180, 'size': 2}
-
id: 143008965
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 259, 'group_counter': 4014, 'group_order': 960, 'label': '60F7', 'order': 60, 'powers': [199, 131, 92], 'representative': 116, 'size': 2}
-
id: 143008967
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 260, 'group_counter': 4014, 'group_order': 960, 'label': '60F-7', 'order': 60, 'powers': [200, 132, 91], 'representative': 284, 'size': 2}
-
id: 143008968
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 261, 'group_counter': 4014, 'group_order': 960, 'label': '60F13', 'order': 60, 'powers': [199, 132, 89], 'representative': 220, 'size': 2}
-
id: 143008969
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 262, 'group_counter': 4014, 'group_order': 960, 'label': '60F-13', 'order': 60, 'powers': [200, 131, 90], 'representative': 372, 'size': 2}
-
id: 143008970
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 263, 'group_counter': 4014, 'group_order': 960, 'label': '60F19', 'order': 60, 'powers': [197, 130, 92], 'representative': 308, 'size': 2}
-
id: 143008971
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 264, 'group_counter': 4014, 'group_order': 960, 'label': '60F-19', 'order': 60, 'powers': [198, 129, 91], 'representative': 476, 'size': 2}
-
id: 143008972
{'aut_label': '60G1', 'centralizer': '2.a1', 'counter': 265, 'group_counter': 4014, 'group_order': 960, 'label': '60G1', 'order': 60, 'powers': [193, 133, 93], 'representative': 69, 'size': 2}
-
id: 143008973
{'aut_label': '60G1', 'centralizer': '2.a1', 'counter': 266, 'group_counter': 4014, 'group_order': 960, 'label': '60G-1', 'order': 60, 'powers': [194, 133, 94], 'representative': 709, 'size': 2}
-
id: 143008974
{'aut_label': '60G1', 'centralizer': '2.a1', 'counter': 267, 'group_counter': 4014, 'group_order': 960, 'label': '60G7', 'order': 60, 'powers': [195, 135, 93], 'representative': 837, 'size': 2}
-
id: 143008975
{'aut_label': '60G1', 'centralizer': '2.a1', 'counter': 268, 'group_counter': 4014, 'group_order': 960, 'label': '60G-7', 'order': 60, 'powers': [196, 135, 94], 'representative': 141, 'size': 2}
-
id: 143008976
{'aut_label': '60G1', 'centralizer': '2.a1', 'counter': 269, 'group_counter': 4014, 'group_order': 960, 'label': '60G11', 'order': 60, 'powers': [194, 136, 94], 'representative': 901, 'size': 2}
-
id: 143008978
{'aut_label': '60G1', 'centralizer': '2.a1', 'counter': 270, 'group_counter': 4014, 'group_order': 960, 'label': '60G-11', 'order': 60, 'powers': [193, 136, 93], 'representative': 261, 'size': 2}
-
id: 143008979
{'aut_label': '60G1', 'centralizer': '2.a1', 'counter': 271, 'group_counter': 4014, 'group_order': 960, 'label': '60G17', 'order': 60, 'powers': [196, 134, 94], 'representative': 133, 'size': 2}
-
id: 143008980
{'aut_label': '60G1', 'centralizer': '2.a1', 'counter': 272, 'group_counter': 4014, 'group_order': 960, 'label': '60G-17', 'order': 60, 'powers': [195, 134, 93], 'representative': 453, 'size': 2}
-
id: 143008981
{'aut_label': '60G1', 'centralizer': '2.a1', 'counter': 273, 'group_counter': 4014, 'group_order': 960, 'label': '60H1', 'order': 60, 'powers': [196, 137, 95], 'representative': 37, 'size': 2}
-
id: 143008982
{'aut_label': '60G1', 'centralizer': '2.a1', 'counter': 274, 'group_counter': 4014, 'group_order': 960, 'label': '60H-1', 'order': 60, 'powers': [195, 137, 96], 'representative': 357, 'size': 2}
-
id: 143008983
{'aut_label': '60G1', 'centralizer': '2.a1', 'counter': 275, 'group_counter': 4014, 'group_order': 960, 'label': '60H7', 'order': 60, 'powers': [194, 139, 95], 'representative': 421, 'size': 2}
-
id: 143008984
{'aut_label': '60G1', 'centralizer': '2.a1', 'counter': 276, 'group_counter': 4014, 'group_order': 960, 'label': '60H-7', 'order': 60, 'powers': [193, 139, 96], 'representative': 741, 'size': 2}
-
id: 143008985
{'aut_label': '60G1', 'centralizer': '2.a1', 'counter': 277, 'group_counter': 4014, 'group_order': 960, 'label': '60H11', 'order': 60, 'powers': [195, 140, 96], 'representative': 933, 'size': 2}
-
id: 143008986
{'aut_label': '60G1', 'centralizer': '2.a1', 'counter': 278, 'group_counter': 4014, 'group_order': 960, 'label': '60H-11', 'order': 60, 'powers': [196, 140, 95], 'representative': 45, 'size': 2}
-
id: 143008987
{'aut_label': '60G1', 'centralizer': '2.a1', 'counter': 279, 'group_counter': 4014, 'group_order': 960, 'label': '60H17', 'order': 60, 'powers': [193, 138, 96], 'representative': 549, 'size': 2}
-
id: 143008989
{'aut_label': '60G1', 'centralizer': '2.a1', 'counter': 280, 'group_counter': 4014, 'group_order': 960, 'label': '60H-17', 'order': 60, 'powers': [194, 138, 95], 'representative': 229, 'size': 2}
-
id: 143008990
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 281, 'group_counter': 4014, 'group_order': 960, 'label': '60I1', 'order': 60, 'powers': [189, 141, 97], 'representative': 17, 'size': 2}
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id: 143008991
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 282, 'group_counter': 4014, 'group_order': 960, 'label': '60I-1', 'order': 60, 'powers': [190, 142, 98], 'representative': 185, 'size': 2}
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id: 143008992
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 283, 'group_counter': 4014, 'group_order': 960, 'label': '60I7', 'order': 60, 'powers': [191, 145, 100], 'representative': 113, 'size': 2}
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id: 143008993
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 284, 'group_counter': 4014, 'group_order': 960, 'label': '60I-7', 'order': 60, 'powers': [192, 146, 99], 'representative': 849, 'size': 2}
-
id: 143008994
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 285, 'group_counter': 4014, 'group_order': 960, 'label': '60I11', 'order': 60, 'powers': [190, 148, 98], 'representative': 177, 'size': 2}
-
id: 143008995
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 286, 'group_counter': 4014, 'group_order': 960, 'label': '60I-11', 'order': 60, 'powers': [189, 147, 97], 'representative': 25, 'size': 2}
-
id: 143008996
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 287, 'group_counter': 4014, 'group_order': 960, 'label': '60I13', 'order': 60, 'powers': [191, 146, 97], 'representative': 209, 'size': 2}
-
id: 143008997
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 288, 'group_counter': 4014, 'group_order': 960, 'label': '60I-13', 'order': 60, 'powers': [192, 145, 98], 'representative': 753, 'size': 2}
-
id: 143008998
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 289, 'group_counter': 4014, 'group_order': 960, 'label': '60I17', 'order': 60, 'powers': [192, 144, 99], 'representative': 273, 'size': 2}
-
id: 143009000
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 290, 'group_counter': 4014, 'group_order': 960, 'label': '60I-17', 'order': 60, 'powers': [191, 143, 100], 'representative': 121, 'size': 2}
-
id: 143009001
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 291, 'group_counter': 4014, 'group_order': 960, 'label': '60I19', 'order': 60, 'powers': [189, 142, 100], 'representative': 305, 'size': 2}
-
id: 143009002
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 292, 'group_counter': 4014, 'group_order': 960, 'label': '60I-19', 'order': 60, 'powers': [190, 141, 99], 'representative': 657, 'size': 2}
-
id: 143009003
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 293, 'group_counter': 4014, 'group_order': 960, 'label': '60I23', 'order': 60, 'powers': [192, 143, 98], 'representative': 369, 'size': 2}
-
id: 143009004
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 294, 'group_counter': 4014, 'group_order': 960, 'label': '60I-23', 'order': 60, 'powers': [191, 144, 97], 'representative': 593, 'size': 2}
-
id: 143009005
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 295, 'group_counter': 4014, 'group_order': 960, 'label': '60I29', 'order': 60, 'powers': [190, 147, 99], 'representative': 465, 'size': 2}
-
id: 143009006
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 296, 'group_counter': 4014, 'group_order': 960, 'label': '60I-29', 'order': 60, 'powers': [189, 148, 100], 'representative': 497, 'size': 2}
-
id: 143009007
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 297, 'group_counter': 4014, 'group_order': 960, 'label': '60J1', 'order': 60, 'powers': [197, 149, 101], 'representative': 21, 'size': 2}
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id: 143009008
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 298, 'group_counter': 4014, 'group_order': 960, 'label': '60J-1', 'order': 60, 'powers': [198, 150, 102], 'representative': 181, 'size': 2}
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id: 143009009
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 299, 'group_counter': 4014, 'group_order': 960, 'label': '60J7', 'order': 60, 'powers': [199, 153, 104], 'representative': 125, 'size': 2}
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id: 143009012
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 300, 'group_counter': 4014, 'group_order': 960, 'label': '60J-7', 'order': 60, 'powers': [200, 154, 103], 'representative': 853, 'size': 2}
-
id: 143009013
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 301, 'group_counter': 4014, 'group_order': 960, 'label': '60J11', 'order': 60, 'powers': [198, 156, 102], 'representative': 189, 'size': 2}
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id: 143009014
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 302, 'group_counter': 4014, 'group_order': 960, 'label': '60J-11', 'order': 60, 'powers': [197, 155, 101], 'representative': 29, 'size': 2}
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id: 143009015
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 303, 'group_counter': 4014, 'group_order': 960, 'label': '60J13', 'order': 60, 'powers': [199, 154, 101], 'representative': 213, 'size': 2}
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id: 143009016
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 304, 'group_counter': 4014, 'group_order': 960, 'label': '60J-13', 'order': 60, 'powers': [200, 153, 102], 'representative': 373, 'size': 2}
-
id: 143009017
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 305, 'group_counter': 4014, 'group_order': 960, 'label': '60J17', 'order': 60, 'powers': [200, 152, 103], 'representative': 277, 'size': 2}
-
id: 143009018
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 306, 'group_counter': 4014, 'group_order': 960, 'label': '60J-17', 'order': 60, 'powers': [199, 151, 104], 'representative': 117, 'size': 2}
-
id: 143009019
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 307, 'group_counter': 4014, 'group_order': 960, 'label': '60J19', 'order': 60, 'powers': [197, 150, 104], 'representative': 501, 'size': 2}
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id: 143009020
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 308, 'group_counter': 4014, 'group_order': 960, 'label': '60J-19', 'order': 60, 'powers': [198, 149, 103], 'representative': 661, 'size': 2}
-
id: 143009021
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 309, 'group_counter': 4014, 'group_order': 960, 'label': '60J23', 'order': 60, 'powers': [200, 151, 102], 'representative': 757, 'size': 2}
-
id: 143009023
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 310, 'group_counter': 4014, 'group_order': 960, 'label': '60J-23', 'order': 60, 'powers': [199, 152, 101], 'representative': 597, 'size': 2}
-
id: 143009024
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 311, 'group_counter': 4014, 'group_order': 960, 'label': '60J29', 'order': 60, 'powers': [198, 155, 103], 'representative': 469, 'size': 2}
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id: 143009025
{'aut_label': '60I1', 'centralizer': '2.a1', 'counter': 312, 'group_counter': 4014, 'group_order': 960, 'label': '60J-29', 'order': 60, 'powers': [197, 156, 104], 'representative': 309, 'size': 2}
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gps_qchar • Show schema
Hide schema
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id: 13614551
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 13614562
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1], 'schur_index': 1}
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id: 13614573
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1], 'schur_index': 1}
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id: 13614584
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
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id: 13614595
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 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: 13614606
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -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: 13614617
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1g', '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, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -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: 13614628
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id: 13614630
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id: 13614552
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id: 13614553
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id: 13614554
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id: 13614555
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id: 13614556
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id: 13614557
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id: 13614558
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id: 13614559
{'cdim': 1, 'counter': 17, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1q', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, 2, 2, 0, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 2, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 0, -2, 0, 2, 0, 0, -2, 0, -2, 0, 2, 0, 0, 2, 2, -2, -2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, 0, 2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 2, 0, -2, 0, -2, 2, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0, 0, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, -2, -2, 0, 0, 2, 2, 2, 0, -2, 2, -2, 0, 0, 0, -2, 0, -2, -2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, -2, 2, -2, -2, 2, 0, 0, -2, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 2, 0, 0, 2, -2, 0, -2, 0, 0, 2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, 0, 0, 0, -2, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 2, 0, -2, 0, -2, 0, 2, 2, 0, 0, 2, 0], 'schur_index': 1}
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id: 13614560
{'cdim': 1, 'counter': 18, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1r', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, 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, -2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, -2, 2, -2, 2, -2, -2, -2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, 2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, -2], 'schur_index': 1}
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id: 13614561
{'cdim': 1, 'counter': 19, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1s', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 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, -2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
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id: 13614563
{'cdim': 1, 'counter': 20, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1t', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2], 'schur_index': 1}
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id: 13614564
{'cdim': 1, 'counter': 21, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1u', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2], 'schur_index': 1}
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id: 13614565
{'cdim': 1, 'counter': 22, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1v', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -1, -1, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 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: 13614566
{'cdim': 1, 'counter': 23, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1w', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -1, -1, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 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: 13614567
{'cdim': 1, 'counter': 24, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1x', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -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: 13614568
{'cdim': 1, 'counter': 25, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1y', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -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: 13614569
{'cdim': 1, 'counter': 26, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1z', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, -1, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 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: 13614570
{'cdim': 1, 'counter': 27, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1aa', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, -1, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 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: 13614571
{'cdim': 1, 'counter': 28, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1ab', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 13614572
{'cdim': 1, 'counter': 29, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1ac', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, -2, -2, 0, -4, 0, 4, 0, 0, 0, -4, 0, 0, 0, 4, -4, 4, 0, 0, 0, 0, 4, 4, 2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 0, 0, -4, 0, 4, 0, 4, -4, 0, -4, 0, -4, 0, 4, 4, 0, 4, 4, 4, 4, 4, -4, 4, -4, -4, -4, -4, -4, -4, -4, 0, 2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 2, 0, -2, 0, -2, 2, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, -4, -4, 0, 0, -4, 4, -4, 0, -4, 4, -4, 0, 0, 0, 4, 0, 4, 4, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 2, -2, 0, -2, 2, -2, 2, 0, 0, 0, 2, -2, 2, 0, 2, -2, 0, 0, 2, 0, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, -2, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, -2, 0, -2, 0, -2, -2, 0, 0, -2, 0], 'schur_index': 1}
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id: 13614574
{'cdim': 1, 'counter': 30, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1ad', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, -2, -2, 0, -4, 0, 4, 0, 0, 0, -4, 0, 0, 0, 4, -4, 4, 0, 0, 0, 0, 4, 4, 2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 0, 0, 4, 0, -4, 0, -4, 4, 0, 4, 0, 4, 0, -4, -4, 0, 4, 4, 4, 4, 4, -4, 4, -4, -4, -4, -4, -4, -4, -4, 0, 2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 2, 0, -2, 0, -2, 2, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, -4, -4, 0, 0, -4, 4, -4, 0, -4, 4, -4, 0, 0, 0, 4, 0, 4, 4, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 2, -2, 0, 0, 0, -2, 2, -2, 0, -2, 2, 0, 0, -2, 0, -2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, -2, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, -2, 0, -2, 0, -2, -2, 0, 0, -2, 0], 'schur_index': 1}
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id: 13614575
{'cdim': 1, 'counter': 31, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1ae', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, -2, -2, 0, 4, 0, -4, 0, 0, 0, 4, 0, 0, 0, -4, 4, -4, 0, 0, 0, 0, 4, 4, 2, -2, 2, -2, 2, 2, 2, 2, -2, -2, -4, 4, 0, 4, 0, -4, 0, 0, -4, 0, -4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 4, -4, 4, -4, -4, -4, -4, -4, -4, -4, 0, -2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 4, 4, 0, 0, 4, -4, 4, 0, 4, -4, 4, 0, 0, 0, -4, 0, -4, -4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, -2, -2, 2, -2, 2, 0, 0, 2, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, 2, 0, 0, 2, -2, 0, 2, 0, 0, -2, -2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2, 0, 0, 0, 2, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0], 'schur_index': 1}
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id: 13614576
{'cdim': 1, 'counter': 32, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1af', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, -2, -2, 0, 4, 0, -4, 0, 0, 0, 4, 0, 0, 0, -4, 4, -4, 0, 0, 0, 0, 4, 4, 2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 4, -4, 0, -4, 0, 4, 0, 0, 4, 0, 4, 0, -4, 0, 0, -4, 4, 4, 4, 4, 4, -4, 4, -4, -4, -4, -4, -4, -4, -4, 0, -2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 4, 4, 0, 0, 4, -4, 4, 0, 4, -4, 4, 0, 0, 0, -4, 0, -4, -4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, 2, 2, -2, 2, -2, 0, 0, -2, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, -2, 0, 0, -2, 2, 0, -2, 0, 0, -2, -2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2, 0, 0, 0, 2, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0], 'schur_index': 1}
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id: 13614577
{'cdim': 1, 'counter': 33, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1ag', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, -2, -2, 0, -4, 0, 4, 0, 0, 0, -4, 0, 0, 0, 4, 4, -4, 0, 0, 0, 0, 4, 4, 2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 0, 0, -4, 0, 4, 0, 4, -4, 0, 4, 0, 4, 0, -4, -4, 0, 4, -4, -4, 4, -4, 4, -4, -4, 4, -4, -4, -4, 4, 4, 0, 2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 2, 0, -2, 0, -2, 2, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 4, 4, 0, 0, -4, -4, -4, 0, 4, -4, 4, 0, 0, 0, 4, 0, 4, 4, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, -2, -2, 0, 0, 0, 2, 2, -2, 0, 2, 2, 0, 0, -2, 0, -2, -2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, 0, 0, 0, -2, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 2, 0, -2, 0, -2, 0, 2, 2, 0, 0, 2, 0], 'schur_index': 1}
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id: 13614578
{'cdim': 1, 'counter': 34, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1ah', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, -2, -2, 0, -4, 0, 4, 0, 0, 0, -4, 0, 0, 0, 4, 4, -4, 0, 0, 0, 0, 4, 4, 2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 0, 0, 4, 0, -4, 0, -4, 4, 0, -4, 0, -4, 0, 4, 4, 0, 4, -4, -4, 4, -4, 4, -4, -4, 4, -4, -4, -4, 4, 4, 0, 2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 2, 0, -2, 0, -2, 2, 0, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 4, 4, 0, 0, -4, -4, -4, 0, 4, -4, 4, 0, 0, 0, 4, 0, 4, 4, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, -2, -2, 0, -2, -2, 2, 2, 0, 0, 0, -2, -2, 2, 0, -2, -2, 0, 0, 2, 0, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, 0, 0, 0, -2, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 2, 0, -2, 0, -2, 0, 2, 2, 0, 0, 2, 0], 'schur_index': 1}
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id: 13614579
{'cdim': 1, 'counter': 35, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1ai', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, -2, -2, 0, 4, 0, -4, 0, 0, 0, 4, 0, 0, 0, -4, -4, 4, 0, 0, 0, 0, 4, 4, 2, -2, 2, -2, 2, 2, -2, -2, 2, 2, -4, 4, 0, 4, 0, -4, 0, 0, 4, 0, 4, 0, -4, 0, 0, -4, 4, -4, -4, 4, -4, 4, -4, -4, 4, -4, -4, -4, 4, 4, 0, -2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 2, 0, 2, -2, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, -4, -4, 0, 0, 4, 4, 4, 0, -4, 4, -4, 0, 0, 0, -4, 0, -4, -4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, -2, 2, -2, -2, 2, 0, 0, -2, 0, 0, 0, 0, 2, -2, -2, 0, 0, 0, 2, 0, 0, 2, -2, 0, -2, 0, 0, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, -2, 2, 2, 0, 0, 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 2, 0, 0, 0, 2, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, -2, 0, 2, 0, 2, 0, -2, -2, 0, 0, -2, 0], 'schur_index': 1}
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id: 13614580
{'cdim': 1, 'counter': 36, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1aj', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, -2, -2, 0, 4, 0, -4, 0, 0, 0, 4, 0, 0, 0, -4, -4, 4, 0, 0, 0, 0, 4, 4, 2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 4, -4, 0, -4, 0, 4, 0, 0, -4, 0, -4, 0, 4, 0, 0, 4, 4, -4, -4, 4, -4, 4, -4, -4, 4, -4, -4, -4, 4, 4, 0, -2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 2, 0, 2, -2, 0, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, -4, -4, 0, 0, 4, 4, 4, 0, -4, 4, -4, 0, 0, 0, -4, 0, -4, -4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 2, -2, 2, 2, -2, 0, 0, 2, 0, 0, 0, 0, -2, 2, 2, 0, 0, 0, -2, 0, 0, -2, 2, 0, 2, 0, 0, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, -2, 2, 2, 0, 0, 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 2, 0, 0, 0, 2, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, -2, 0, 2, 0, 2, 0, -2, -2, 0, 0, -2, 0], 'schur_index': 1}
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id: 13614581
{'cdim': 1, 'counter': 37, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1ak', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, -2, -2, -4, -4, 4, -4, -4, 4, 4, -4, 4, -4, -4, -4, 4, 4, -4, 4, -4, 4, 4, 4, -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, 4, -4, -4, 4, -4, -4, -4, 4, -4, 4, 4, 4, -4, -4, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, 4, 4, 4, -4, -4, 4, -4, 4, 4, 4, 4, -4, -4, 4, -4, -4, -4, -4, 4, -4, 4, 4, -4, 4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, 2, -2, 2, -2, 2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, -2, 2], 'schur_index': 1}
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id: 13614582
{'cdim': 1, 'counter': 38, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1al', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, -2, -2, 4, -4, -4, -4, 4, -4, -4, -4, -4, 4, 4, -4, 4, 4, 4, -4, 4, -4, 4, 4, -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, 4, -4, -4, 4, -4, -4, -4, 4, -4, 4, 4, 4, -4, -4, -2, 2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, 4, 4, -4, 4, -4, -4, -4, -4, -4, 4, -4, -4, -4, -4, 4, 4, 4, -4, 4, -4, 4, -4, -4, 4, 4, 4, 4, 4, -4, -4, 4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, 2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2], 'schur_index': 1}
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id: 13614583
{'cdim': 1, 'counter': 39, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1am', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, -2, -2, -4, -4, 4, -4, -4, 4, 4, -4, 4, -4, -4, -4, -4, -4, 4, -4, 4, -4, 4, 4, -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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -4, 4, 4, 4, 4, -4, 4, -4, -4, -4, -4, 4, 4, -4, -4, -4, -4, -4, 4, -4, -4, 4, -4, -4, -4, -4, 4, -4, -4, -4, -4, -4, 4, -4, -4, -4, -4, -4, -4, -4, 4, -4, 4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, -2], 'schur_index': 1}
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id: 13614585
{'cdim': 1, 'counter': 40, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.1an', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, -2, -2, 4, -4, -4, -4, 4, -4, -4, -4, -4, 4, 4, -4, -4, -4, -4, 4, -4, 4, 4, 4, -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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -2, 2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 4, -4, -4, -4, -4, 4, -4, -4, 4, 4, 4, -4, -4, -4, 4, 4, 4, -4, -4, -4, -4, -4, 4, -4, -4, -4, -4, -4, -4, -4, 4, 4, -4, -4, 4, -4, -4, 4, -4, 4, -4, -4, -4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
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id: 13614586
{'cdim': 2, 'counter': 41, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2a', 'multiplicity': 2, 'nt': [5, 2], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 13614587
{'cdim': 2, 'counter': 42, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2b', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, 4, -4, 0, 0, 0, -4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, -4, 0, 4, -4, 4, 0, 0, 4, 0, 0, -4, 4, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 4, -4, 4, -4, 0, -4, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, -4, 0, 4, 0, 0, -4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13614588
{'cdim': 2, 'counter': 43, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2c', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, -4, 0, 4, -4, 4, 0, 0, -4, 0, 0, 4, -4, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 4, -4, 4, -4, 0, -4, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, -4, 0, 4, 0, 0, 4, -4, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13614589
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id: 13614590
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id: 13614591
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id: 13614592
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id: 13614593
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id: 13614594
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id: 13614596
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id: 13614597
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id: 13614598
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id: 13614599
{'cdim': 2, 'counter': 53, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2m', 'multiplicity': 4, 'nt': [15, 3], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, -4, -4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 13614600
{'cdim': 2, 'counter': 54, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2n', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, 8, 8, 8, 0, -8, 0, 8, 0, 0, 0, -8, 0, 0, 0, 8, -8, 8, 0, 0, 0, 0, -2, -2, -8, 8, -8, 8, -8, -8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 0, -8, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, -8, 0, 8, 0, 8, -8, 0, 0, 0, 0, 8, 0, -8, 0, 8, 0, 0, 0, 0, 0, -8, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 2, 2, 0, 0, 2, -2, 2, 0, 2, -2, 2, 0, 0, 0, -2, 0, -2, -2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, -2, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, -2, 0, -2, 0, -2, -2, 0, 0, -2, 0], 'schur_index': 1}
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id: 13614601
{'cdim': 2, 'counter': 55, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2o', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, 8, 8, 8, 0, 8, 0, -8, 0, 0, 0, 8, 0, 0, 0, -8, 8, -8, 0, 0, 0, 0, -2, -2, -8, 8, -8, 8, -8, -8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 0, 8, -8, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 8, 0, 8, 0, -8, 0, -8, 8, 0, 0, 0, 0, -8, 0, 8, 0, -8, 0, 0, 0, 0, 0, 8, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, -2, -2, 0, 0, -2, 2, -2, 0, -2, 2, -2, 0, 0, 0, 2, 0, 2, 2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2, 0, 0, 0, 2, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0], 'schur_index': 1}
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id: 13614602
{'cdim': 2, 'counter': 56, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2p', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, -8, 8, 8, 0, -8, 0, 8, 0, 0, 0, -8, 0, 0, 0, 8, 8, -8, 0, 0, 0, 0, -2, -2, -8, 8, -8, 8, -8, -8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 0, -8, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, -8, 0, 8, 0, 8, -8, 0, 0, 0, 0, -8, 0, 8, 0, -8, 0, 0, 0, 0, 0, 8, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, -2, -2, 0, 0, 2, 2, 2, 0, -2, 2, -2, 0, 0, 0, -2, 0, -2, -2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, 2, -2, -2, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -2, 0, 0, 0, -2, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 2, 0, -2, 0, -2, 0, 2, 2, 0, 0, 2, 0], 'schur_index': 1}
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id: 13614603
{'cdim': 2, 'counter': 57, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2q', 'multiplicity': 4, 'nt': [20, 6], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, -8, 8, 8, 0, 8, 0, -8, 0, 0, 0, 8, 0, 0, 0, -8, -8, 8, 0, 0, 0, 0, -2, -2, -8, 8, -8, 8, -8, -8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -2, -2, 0, 8, -8, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 8, 0, 8, 0, -8, 0, -8, 8, 0, 0, 0, 0, 8, 0, -8, 0, 8, 0, 0, 0, 0, 0, -8, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 2, 2, 0, 0, -2, -2, -2, 0, 2, -2, 2, 0, 0, 0, 2, 0, 2, 2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, -2, 2, 2, 0, 0, 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 2, 0, 0, 0, 2, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, -2, 0, 2, 0, 2, 0, -2, -2, 0, 0, -2, 0], 'schur_index': 1}
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id: 13614604
{'cdim': 2, 'counter': 58, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2r', 'multiplicity': 4, 'nt': [24, 16], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, -4, -4, -8, 0, 0, 0, -8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, -4, 4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 0, 0, -8, 0, 8, -8, 8, 0, 0, -4, 0, 0, 4, -4, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -8, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, -4, 4, -4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 4, 0, -4, 0, 0, 4, -4, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13614605
{'cdim': 2, 'counter': 59, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2s', 'multiplicity': 4, 'nt': [24, 16], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, -4, -4, 8, 0, 0, 0, 8, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 8, 8, -4, 4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 0, 0, -8, 0, 8, -8, 8, 0, 0, 4, 0, 0, -4, 4, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, -4, 4, -4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 4, 0, -4, 0, 0, -4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13614607
{'cdim': 2, 'counter': 60, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2t', 'multiplicity': 4, 'nt': [24, 16], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, -4, -4, 0, 0, -8, 0, 0, 8, 8, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 4, 4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 0, 0, 8, 0, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, -4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 4, -4, 0, -4, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, -4, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13614608
{'cdim': 2, 'counter': 61, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2u', 'multiplicity': 4, 'nt': [24, 16], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, -4, -4, 0, 0, 8, 0, 0, -8, -8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 4, 4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 0, 0, 8, 0, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 4, -4, -4, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 4, -4, 0, -4, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, -4, -4, 0, 0, -4, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13614609
{'cdim': 2, 'counter': 62, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2v', 'multiplicity': 4, 'nt': [30, 5], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, -4, -4, -8, 8, -8, 8, -8, -8, -8, 8, -8, -8, -8, 8, -8, -8, 8, 8, 8, 8, -2, -2, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 4, -4, -4, 4, 4, 4, 4, -4, 4, 4, 4, 4, 4, -4, 4, -4, 4, -4, 4, -4, -4, 4, 4, 4, -4, 4, -4, 4, -4, 4, -4, -4, -4, -4, -4, 4, 1, 1, 1, 1, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 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, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -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: 13614610
{'cdim': 2, 'counter': 63, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2w', 'multiplicity': 4, 'nt': [30, 5], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, -4, -4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, -8, -8, -8, -8, -8, -8, -2, -2, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, -2, 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, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 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: 13614611
{'cdim': 2, 'counter': 64, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2x', 'multiplicity': 4, 'nt': [30, 5], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, -4, -4, -8, 8, -8, 8, -8, -8, -8, 8, -8, -8, -8, 8, 8, 8, -8, -8, -8, -8, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, -4, -4, 4, 4, 4, 4, -4, 4, 4, 4, 4, 4, -4, 4, -4, 4, -4, 4, -4, -4, 4, 4, 4, 4, -4, 4, -4, 4, -4, 4, 4, 4, 4, 4, -4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, 2, 2, -2, -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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -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: 13614612
{'cdim': 2, 'counter': 65, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2y', 'multiplicity': 4, 'nt': [60, 0], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, -4, -4, -8, -8, 8, -8, -8, 8, 8, -8, 8, -8, -8, -8, 8, 8, -8, 8, -8, 8, -2, -2, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 4, 4, 4, 4, 4, -4, 4, 4, 4, -4, -4, -4, -4, 4, -4, 4, 4, 4, 4, 4, 4, -4, 4, -4, -4, -4, 4, -4, -4, -4, 4, -4, -4, 4, 4, -4, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, -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, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -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: 13614613
{'cdim': 2, 'counter': 66, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2z', 'multiplicity': 4, 'nt': [60, 0], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, -4, -4, 8, -8, -8, -8, 8, -8, -8, -8, -8, 8, 8, -8, 8, 8, 8, -8, 8, -8, -2, -2, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, -4, 4, 4, -4, -4, 4, -4, 4, -4, 4, 4, 4, 4, 4, 4, 4, -4, 4, -4, 4, 4, 4, -4, 4, 4, -4, -4, -4, 4, -4, -4, 4, 4, -4, -4, -4, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -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, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 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: 13614614
{'cdim': 2, 'counter': 67, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2aa', 'multiplicity': 4, 'nt': [60, 0], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, -4, -4, -8, -8, 8, -8, -8, 8, 8, -8, 8, -8, -8, -8, -8, -8, 8, -8, 8, -8, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, 4, -4, 4, 4, 4, -4, -4, -4, -4, 4, -4, 4, 4, 4, 4, 4, 4, -4, 4, -4, 4, 4, -4, 4, 4, 4, -4, 4, 4, -4, -4, 4, 1, 1, 1, 1, 2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -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: 13614615
{'cdim': 2, 'counter': 68, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2ab', 'multiplicity': 4, 'nt': [60, 0], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, -4, -4, 8, -8, -8, -8, 8, -8, -8, -8, -8, 8, 8, -8, -8, -8, -8, 8, -8, 8, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -4, 4, 4, -4, -4, 4, -4, 4, -4, 4, 4, 4, 4, 4, 4, 4, -4, 4, -4, 4, 4, 4, -4, 4, -4, 4, 4, 4, -4, 4, 4, -4, -4, 4, 4, 4, 1, 1, 1, 1, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 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: 13614616
{'cdim': 2, 'counter': 69, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2ac', 'multiplicity': 8, 'nt': [40, 17], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 0, 0, 16, 16, -16, 0, 0, 0, -16, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 0, 0, 0, -4, -4, 16, -16, -16, -16, -16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 0, -4, 4, -4, 0, 0, 16, 0, 0, -16, 16, 0, -16, 0, -16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 16, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, -4, 4, -4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 4, 0, -4, 0, 0, 4, -4, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13614618
{'cdim': 2, 'counter': 70, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2ad', 'multiplicity': 8, 'nt': [40, 17], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 0, 0, 16, 16, 16, 0, 0, 0, 16, 0, 0, 0, 0, -16, -16, 0, 0, 0, 0, 0, 0, 0, -4, -4, 16, -16, -16, -16, -16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 0, -4, 4, -4, 0, 0, -16, 0, 0, 16, -16, 0, 16, 0, 16, 0, 0, 0, 0, 0, 0, 0, -16, 0, -16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, -4, 4, -4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 4, 0, -4, 0, 0, -4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13614619
{'cdim': 2, 'counter': 71, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2ae', 'multiplicity': 8, 'nt': [40, 17], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 0, 0, 16, 16, 0, 0, -16, 0, 0, 16, 16, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -16, -16, 16, -16, 16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, -4, 0, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, 16, -16, -16, 0, -16, 0, 0, 0, 0, 0, 0, -16, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 4, -4, 0, -4, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, -4, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13614620
{'cdim': 2, 'counter': 72, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2af', 'multiplicity': 8, 'nt': [40, 17], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 0, 0, 16, 16, 0, 0, 16, 0, 0, -16, -16, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -16, -16, 16, -16, 16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, -4, 0, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -16, -16, 16, 16, 0, 16, 0, 0, 0, 0, 0, 0, 16, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 4, -4, 0, -4, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, -4, -4, 0, 0, -4, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13614621
{'cdim': 2, 'counter': 73, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2ag', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, -16, 16, -8, -8, 0, -16, 0, 16, 0, 0, 0, -16, 0, 0, 0, 16, -16, 16, 0, 0, 0, 0, -4, -4, 8, -8, 8, -8, 8, 8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, 4, -4, 4, 4, 4, 4, 4, 4, 4, 0, 8, -8, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 8, 0, 8, 0, -8, 0, -8, 8, 0, 0, 0, 0, -8, 0, 8, 0, -8, 0, 0, 0, 0, 0, 8, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 4, 4, 0, 0, 4, -4, 4, 0, 4, -4, 4, 0, 0, 0, -4, 0, -4, -4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -2, 0, 0, 0, 2, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, -2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0], 'schur_index': 1}
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id: 13614622
{'cdim': 2, 'counter': 74, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2ah', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, -16, 16, -8, -8, 0, 16, 0, -16, 0, 0, 0, 16, 0, 0, 0, -16, 16, -16, 0, 0, 0, 0, -4, -4, 8, -8, 8, -8, 8, 8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, 4, -4, 4, 4, 4, 4, 4, 4, 4, 0, -8, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, -8, 0, 8, 0, 8, -8, 0, 0, 0, 0, 8, 0, -8, 0, 8, 0, 0, 0, 0, 0, -8, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, -4, -4, 0, 0, -4, 4, -4, 0, -4, 4, -4, 0, 0, 0, 4, 0, 4, 4, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, -2, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, -2, 0, -2, 0, -2, -2, 0, 0, -2, 0], 'schur_index': 1}
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id: 13614623
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id: 13614624
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id: 13614625
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id: 13614626
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id: 13614627
{'cdim': 2, 'counter': 79, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2am', 'multiplicity': 16, 'nt': [120, 0], 'qdim': 32, 'qvalues': [32, -32, 32, -32, 0, 0, -16, -16, 0, 0, -32, 0, 0, 32, 32, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 16, 16, -16, 16, -16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 0, -8, 0, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -16, -16, 16, 16, 0, 16, 0, 0, 0, 0, 0, 0, 16, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, -4, -4, -4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, -4, -4, 0, 0, -4, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13614629
{'cdim': 2, 'counter': 80, 'faithful': False, 'group': '960.4014', 'group_order': 960, 'image': None, 'label': '960.4014.2an', 'multiplicity': 16, 'nt': [120, 0], 'qdim': 32, 'qvalues': [32, -32, 32, -32, 0, 0, -16, -16, 0, 0, 32, 0, 0, -32, -32, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 16, 16, -16, 16, -16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 0, -8, 0, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, 16, -16, -16, 0, -16, 0, 0, 0, 0, 0, 0, -16, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, -4, -4, -4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, -4, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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gps_char • Show schema
Hide schema
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id: 32188356
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id: 32188358
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id: 32188359
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id: 32188360
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id: 32188361
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id: 32188362
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id: 32188363
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id: 32188364
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id: 32188365
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id: 32188366
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id: 32188367
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id: 32188369
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id: 32188370
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id: 32188371
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id: 32188372
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id: 32188373
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id: 32188374
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id: 32188375
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id: 32188376
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id: 32188377
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id: 32188378
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id: 32188380
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id: 32188381
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id: 32188382
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id: 32188383
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id: 32188384
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id: 32188385
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id: 32188386
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id: 32188387
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id: 32188388
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id: 32188389
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id: 32188391
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id: 32188392
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id: 32188393
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id: 32188394
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id: 32188395
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id: 32188396
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id: 32188397
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id: 32188398
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id: 32188399
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id: 32188400
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id: 32188402
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id: 32188403
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id: 32188404
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id: 32188405
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id: 32188406
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id: 32188407
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id: 32188408
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id: 32188211
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id: 32188322
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id: 32188346
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id: 32188357
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id: 32188368
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id: 32188390
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id: 32188401
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id: 32188101
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id: 32188112
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id: 32188123
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id: 32188134
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id: 32188145
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id: 32188156
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id: 32188167
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id: 32188178
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id: 32188189
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id: 32188200
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id: 32188212
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id: 32188223
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id: 32188234
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id: 32188245
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id: 32188256
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id: 32188267
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id: 32188278
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id: 32188289
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id: 32188300
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id: 32188311
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id: 32188323
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id: 32188334
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id: 32188338
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id: 32188339
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id: 32188341
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id: 32188342
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id: 32188343
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id: 32188349
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id: 32188350
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id: 32188351
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id: 32188409
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id: 32188410
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id: 32188186
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id: 32188187
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id: 32188188
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id: 32188190
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id: 32188191
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id: 32188192
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id: 32188193
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id: 32188194
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id: 32188195
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id: 32188196
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id: 32188197
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id: 32188198
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id: 32188199
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id: 32188201
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id: 32188202
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id: 32188203
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id: 32188204
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id: 32188205
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id: 32188206
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id: 32188207
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id: 32188208
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id: 32188209
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id: 32188210
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id: 32188213
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id: 32188214
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id: 32188215
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id: 32188216
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id: 32188217
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id: 32188218
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id: 32188219
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id: 32188220
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id: 32188221
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id: 32188222
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id: 32188224
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id: 32188225
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id: 32188226
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id: 32188227
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id: 32188228
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id: 32188229
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id: 32188230
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id: 32188231
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id: 32188232
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id: 32188233
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id: 32188235
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id: 32188236
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id: 32188237
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id: 32188238
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id: 32188239
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id: 32188240
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id: 32188241
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id: 32188242
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id: 32188243
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id: 32188244
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id: 32188246
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id: 32188247
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id: 32188248
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id: 32188249
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id: 32188250
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id: 32188251
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-
id: 32188252
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id: 32188253
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id: 32188254
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id: 32188255
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id: 32188257
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id: 32188258
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id: 32188259
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id: 32188260
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id: 32188261
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id: 32188262
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id: 32188263
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id: 32188264
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-
id: 32188265
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id: 32188266
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id: 32188276
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id: 32188277
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id: 32188279
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id: 32188280
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id: 32188281
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id: 32188282
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id: 32188283
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id: 32188268
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-
id: 32188269
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id: 32188270
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id: 32188271
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id: 32188272
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id: 32188273
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id: 32188274
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id: 32188275
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id: 32188284
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id: 32188294
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id: 32188295
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id: 32188296
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id: 32188297
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id: 32188298
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id: 32188299
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-
id: 32188301
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id: 32188285
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id: 32188286
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id: 32188287
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id: 32188288
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id: 32188290
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id: 32188291
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id: 32188292
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id: 32188293
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id: 32188302
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id: 32188312
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id: 32188313
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-
id: 32188314
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id: 32188315
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-
id: 32188316
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id: 32188317
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-
id: 32188318
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id: 32188303
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id: 32188304
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id: 32188305
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id: 32188306
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id: 32188307
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id: 32188308
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id: 32188309
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-
id: 32188310
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id: 32188319
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-
id: 32188330
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id: 32188331
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id: 32188332
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id: 32188333
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id: 32188335
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id: 32188336
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id: 32188337
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id: 32188320
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id: 32188321
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id: 32188324
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id: 32188325
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id: 32188326
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id: 32188327
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id: 32188328
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id: 32188329
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id: 32188411
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id: 32188102
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id: 32188103
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id: 32188104
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id: 32188105
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id: 32188106
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id: 32188107
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id: 32188108
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id: 32188109
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id: 32188110
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id: 32188111
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id: 32188113
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id: 32188114
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id: 32188116
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id: 32188117
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id: 32188118
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id: 32188119
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id: 32188120
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id: 32188121
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id: 32188122
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id: 32188124
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id: 32188125
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id: 32188126
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id: 32188127
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id: 32188128
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id: 32188129
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id: 32188130
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id: 32188131
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id: 32188132
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id: 32188133
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id: 32188135
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id: 32188136
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id: 32188137
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id: 32188138
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id: 32188139
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id: 32188140
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id: 32188141
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id: 32188142
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id: 32188143
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id: 32188144
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id: 32188146
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id: 32188147
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id: 32188148
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id: 32188149
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id: 32188150
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id: 32188151
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id: 32188152
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id: 32188153
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id: 32188154
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id: 32188155
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id: 32188157
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id: 32188158
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id: 32188159
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id: 32188160
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id: 32188161
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id: 32188162
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id: 32188163
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id: 32188164
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id: 32188165
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id: 32188166
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id: 32188168
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id: 32188169
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id: 32188170
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id: 32188171
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id: 32188172
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id: 32188173
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id: 32188174
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id: 32188175
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id: 32188176
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id: 32188177
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id: 32188179
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id: 32188180
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id: 32188181
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id: 32188182
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id: 32188183
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id: 32188184
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id: 32188185
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gps_subgroup_search • Show schema
Hide schema
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id: 113461472
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 960, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '960.4014.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '960.4014', 'subgroup_hash': 4014, 'subgroup_order': 960, 'subgroup_tex': 'C_{60}:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
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id: 113461508
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 480, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.919', 'subgroup_hash': 919, 'subgroup_order': 480, 'subgroup_tex': 'C_2\\times C_4\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 113461519
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': False, 'core_order': 480, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.714', 'subgroup_hash': 714, 'subgroup_order': 480, 'subgroup_tex': 'C_{30}:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
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id: 113461530
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 480, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.80', 'subgroup_hash': 80, 'subgroup_order': 480, 'subgroup_tex': 'C_{20}:C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 113461541
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': False, 'core_order': 480, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.81', 'subgroup_hash': 81, 'subgroup_order': 480, 'subgroup_tex': 'C_{30}.C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 113461552
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': True, 'core_order': 320, 'counter': 6, 'cyclic': False, 'direct': True, 'hall': 10, 'label': '960.4014.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '320.549', 'subgroup_hash': 549, 'subgroup_order': 320, 'subgroup_tex': 'C_{20}:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
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id: 113461563
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 240, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.185', 'subgroup_hash': 185, 'subgroup_order': 240, 'subgroup_tex': 'C_2^2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 113461574
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 240, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.4.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': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.185', 'subgroup_hash': 185, 'subgroup_order': 240, 'subgroup_tex': 'C_2^2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 113461585
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 240, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.81', 'subgroup_hash': 81, 'subgroup_order': 240, 'subgroup_tex': 'C_4\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 113461473
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 240, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.81', 'subgroup_hash': 81, 'subgroup_order': 240, 'subgroup_tex': 'C_4\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 113461484
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 240, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.38', 'subgroup_hash': 38, 'subgroup_order': 240, 'subgroup_tex': 'C_{10}:C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 113461495
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 240, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1', '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': '240.81', 'subgroup_hash': 81, 'subgroup_order': 240, 'subgroup_tex': 'C_4\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 113461501
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': False, 'core_order': 240, 'counter': 13, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '960.4014.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.39', 'subgroup_hash': 39, 'subgroup_order': 240, 'subgroup_tex': 'C_{15}:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
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id: 113461502
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 96, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '960.4014.5.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '5.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.837', 'subgroup_hash': 837, 'subgroup_order': 192, 'subgroup_tex': 'C_{12}\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 113461503
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 160, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.175', 'subgroup_hash': 175, 'subgroup_order': 160, 'subgroup_tex': 'C_2\\times C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113461504
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': False, 'core_order': 160, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.142', 'subgroup_hash': 142, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 113461505
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 160, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.9', 'subgroup_hash': 9, 'subgroup_order': 160, 'subgroup_tex': 'C_{20}:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113461506
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': False, 'core_order': 160, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '160.10', 'subgroup_hash': 10, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113461507
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 120, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.8.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': '120.47', 'subgroup_hash': 47, 'subgroup_order': 120, 'subgroup_tex': 'C_2^2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
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id: 113461509
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 120, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113461510
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113461511
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 120, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113461512
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113461513
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113461514
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 120, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '120.2', 'subgroup_hash': 2, 'subgroup_order': 120, 'subgroup_tex': 'C_5:C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 113461515
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113461516
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 96, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.161', 'subgroup_hash': 161, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 113461517
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.10.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.177', 'subgroup_hash': 177, 'subgroup_order': 96, 'subgroup_tex': 'C_6\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 113461518
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 48, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.10.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 113461520
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 48, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.10.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.47', 'subgroup_hash': 47, 'subgroup_order': 96, 'subgroup_tex': 'C_8:C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113461521
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 80, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113461522
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 80, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113461523
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 80, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113461524
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 80, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113461525
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 80, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.9', 'subgroup_hash': 9, 'subgroup_order': 80, 'subgroup_tex': 'C_{10}:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113461526
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 80, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113461527
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': False, 'core_order': 80, 'counter': 37, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '960.4014.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.10', 'subgroup_hash': 10, 'subgroup_order': 80, 'subgroup_tex': 'C_5:\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 113461528
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 32, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '960.4014.15.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '15.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 15, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.85', 'subgroup_hash': 85, 'subgroup_order': 64, 'subgroup_tex': 'C_4\\times \\OD_{16}', 'supersolvable': True, 'sylow': 2}
-
id: 113461529
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 60, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.16.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': '16.10', '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': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113461531
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.2', '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': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113461532
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 41, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113461533
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 42, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.2', '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': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113461534
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 43, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1', '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113461535
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113461536
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 45, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4014.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113461537
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 48, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.20.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113461538
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 48, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.20.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113461539
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 48, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.20.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113461540
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 48, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.20.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113461542
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 48, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.20.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113461543
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 24, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.20.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 113461544
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.20.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.24', 'subgroup_hash': 24, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 113461545
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113461546
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113461547
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 40, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113461548
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113461549
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 40, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113461550
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 40, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113461551
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 40, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.24.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '40.1', 'subgroup_hash': 1, 'subgroup_order': 40, 'subgroup_tex': 'C_5:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113461553
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.24.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113461554
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 32, 'counter': 61, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.30.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '30.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_5', '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: 113461555
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.30.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.37', 'subgroup_hash': 37, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 113461556
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 16, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.30.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113461557
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 16, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.30.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.4', 'subgroup_hash': 4, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113461558
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 30, 'counter': 65, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.32.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': '32.21', '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': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113461559
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 66, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.32.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': '32.37', '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': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113461560
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 15, 'counter': 67, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4014.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113461561
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 24, 'counter': 68, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.40.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113461562
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 24, 'counter': 69, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.40.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113461564
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 24, 'counter': 70, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.40.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113461565
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 24, 'counter': 71, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.40.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113461566
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 24, 'counter': 72, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.40.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113461567
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 24, 'counter': 73, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.40.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113461568
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 12, 'counter': 74, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4014.40.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 113461569
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.40.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113461570
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 20, 'counter': 76, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.44', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113461571
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 77, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113461572
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 78, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.44', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113461573
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 79, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.48.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113461575
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 80, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.48.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113461576
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.48.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113461577
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 82, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4014.48.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113461578
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 16, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.60.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113461579
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 16, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.60.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113461580
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 16, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.60.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113461581
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 16, 'counter': 86, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.60.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.10', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113461582
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 16, 'counter': 87, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.60.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.2', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113461583
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 8, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.60.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113461584
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.60.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 113461586
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 15, 'counter': 90, 'cyclic': True, 'direct': False, 'hall': 15, 'label': '960.4014.64.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': '64.85', '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': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
-
id: 113461587
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 12, 'counter': 91, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.80.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.43', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113461588
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 92, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.80.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 113461589
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 12, 'counter': 93, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.80.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.36', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 113461590
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 94, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.80.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 113461591
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 12, 'counter': 95, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '960.4014.80.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 113461592
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.80.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 113461593
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 97, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4014.80.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 113461594
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 10, 'counter': 98, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.161', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 161, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 113461595
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 99, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.96.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.177', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 177, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 113461474
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 5, 'counter': 100, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4014.96.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 113461475
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 8, 'counter': 101, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.120.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.19', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 19, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 113461476
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 8, 'counter': 102, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.120.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.44', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 113461477
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 8, 'counter': 103, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.120.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.19', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 19, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 113461478
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 8, 'counter': 104, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.120.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.19', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 19, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 113461479
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 8, 'counter': 105, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.120.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.19', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 19, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 113461480
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 8, 'counter': 106, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.120.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.17', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 113461481
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 107, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4014.120.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113461482
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.120.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 113461483
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 6, 'counter': 109, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.160.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.143', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 143, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 113461485
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 6, 'counter': 110, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.160.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.142', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 142, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 113461486
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 3, 'counter': 111, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4014.160.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 113461487
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 5, 'counter': 112, 'cyclic': True, 'direct': False, 'hall': 5, 'label': '960.4014.192.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.837', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 837, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times \\OD_{16}', 'simple': True, 'solvable': True, 'special_labels': ['L2', 'C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
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id: 113461488
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 4, 'counter': 113, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.240.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.163', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 163, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}.C_2^3', '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}
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id: 113461489
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 114, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4014.240.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.40', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 40, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 113461490
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 4, 'counter': 115, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.240.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.156', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 156, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}\\times D_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 113461491
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 116, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.240.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.40', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 40, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}:C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 113461492
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 4, 'counter': 117, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '960.4014.240.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '240.39', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 39, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 113461493
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4014.240.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 113461494
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 119, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4014.240.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 113461496
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 3, 'counter': 120, 'cyclic': True, 'direct': True, 'hall': 3, 'label': '960.4014.320.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '320.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '320.549', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 549, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 320, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}:\\OD_{16}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
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id: 113461497
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 2, 'counter': 121, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.480.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '480.715', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 715, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}:C_4^2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 113461498
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 2, 'counter': 122, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4014.480.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '480.714', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 714, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}:\\OD_{16}', '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: 113461499
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 1, 'counter': 123, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4014.480.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '480.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 113461500
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4014', 'ambient_counter': 4014, 'ambient_order': 960, 'ambient_tex': 'C_{60}:\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 1, 'counter': 124, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '960.4014.960.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '960.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '960.4014', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4014, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 960, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{60}:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C8'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 113461493
{'ambient': '960.4014', 'aut_centralizer_order': 5120, 'aut_label': '240.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 20480, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.f1', '80.f1', '120.a1', '120.h1'], 'contains': ['480.b1', '480.c1'], 'core': '480.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1609, -1, 2342, -1], 'generators': [1, 480], 'label': '960.4014.240.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '120.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '240.f1', 'projective_image': '480.714', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 113461494
{'ambient': '960.4014', 'aut_centralizer_order': 5120, 'aut_label': '240.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 20480, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.g1', '80.g1', '120.e1', '120.h1'], 'contains': ['480.b1'], 'core': '480.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [660, -1, 1642, -1], 'generators': [721], 'label': '960.4014.240.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '120.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '240.g1', 'projective_image': '480.714', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 113461528
{'ambient': '960.4014', 'aut_centralizer_order': 8, 'aut_label': '15.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '1024.dhy', 'aut_weyl_index': 40, 'centralizer': '20.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '5.a1'], 'contains': ['30.a1', '30.b1', '30.c1', '30.d1'], 'core': '30.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [6977, -1, 6719, -1], 'generators': [1, 2, 720], 'label': '960.4014.15.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '15.a1', 'projective_image': '60.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
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id: 113461472
{'ambient': '960.4014', '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': '20.c1', 'complements': ['960.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '3.a1', '5.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6763, 7397, 6808, 5947], 'generators': [1, 4, 8, 240, 480, 192, 2, 640], 'label': '960.4014.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '3.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '20.4', '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': '20.4'}
-
id: 113461473
{'ambient': '960.4014', 'aut_centralizer_order': 160, 'aut_label': '4.d1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '256.27015', 'aut_weyl_index': 160, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.d1'], 'contains': ['8.b1', '8.e1', '12.d1', '20.d1'], 'core': '4.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [5242, 5219, 5191, 5292], 'generators': [241, 480, 640, 192, 4, 8], 'label': '960.4014.4.d1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.a1', '2.d1'], 'normal_contains': ['8.b1', '8.e1', '12.d1', '20.d1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '40.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461474
{'ambient': '960.4014', 'aut_centralizer_order': 2560, 'aut_label': '96.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.1', 'aut_weyl_index': 10240, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '48.b1', '48.f1'], 'contains': ['192.a1', '480.c1'], 'core': '192.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3794, -1, 2860, -1], 'generators': [1, 192], 'label': '960.4014.96.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '96.c1', 'projective_image': '960.4014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461475
{'ambient': '960.4014', 'aut_centralizer_order': 5120, 'aut_label': '120.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 5120, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '40.a1', '60.a1', '60.b1'], 'contains': ['240.a1', '240.b1', '240.f1'], 'core': '120.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4206, 4953, 4037, 5956], 'generators': [1, 8, 480], 'label': '960.4014.120.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.a1', 'normal_contained_in': ['24.a1', '40.a1', '60.a1', '60.b1'], 'normal_contains': ['240.a1', '240.b1'], 'normalizer': '1.a1', 'old_label': '120.a1', 'projective_image': '240.163', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.13', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461476
{'ambient': '960.4014', 'aut_centralizer_order': 5120, 'aut_label': '120.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 5120, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '40.b1', '60.a1', '60.c1', '60.d1', '60.f1'], 'contains': ['240.a1', '240.c1'], 'core': '120.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6977, 5556, 5897, 6414], 'generators': [4, 480], 'label': '960.4014.120.b1', 'mobius_quo': 0, 'mobius_sub': -40, 'normal_closure': '120.b1', 'normal_contained_in': ['24.b1', '40.b1', '60.a1', '60.c1', '60.d1'], 'normal_contains': ['240.a1', '240.c1'], 'normalizer': '1.a1', 'old_label': '120.b1', 'projective_image': '120.44', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.44', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461477
{'ambient': '960.4014', 'aut_centralizer_order': 5120, 'aut_label': '120.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10240, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['24.c1', '40.c1', '60.b1', '60.c1', '60.e1'], 'contains': ['240.a1', '240.e1'], 'core': '120.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [2089, 2111, 2885, 1805], 'generators': [8, 720], 'label': '960.4014.120.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.c1', 'normal_contained_in': ['24.c1', '40.c1', '60.b1', '60.c1', '60.e1'], 'normal_contains': ['240.a1', '240.e1'], 'normalizer': '1.a1', 'old_label': '120.c1', 'projective_image': '120.19', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.19', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461478
{'ambient': '960.4014', 'aut_centralizer_order': 5120, 'aut_label': '120.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 5120, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.d1', '40.d1', '60.a1', '60.e1'], 'contains': ['240.a1', '240.d1'], 'core': '120.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [4461, 6041, 5381, 5533], 'generators': [5, 480], 'label': '960.4014.120.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.d1', 'normal_contained_in': ['24.d1', '40.d1', '60.a1', '60.e1'], 'normal_contains': ['240.a1', '240.d1'], 'normalizer': '1.a1', 'old_label': '120.d1', 'projective_image': '240.163', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.13', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461479
{'ambient': '960.4014', 'aut_centralizer_order': 5120, 'aut_label': '120.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10240, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['24.e1', '40.e1', '60.b1', '60.d1', '60.e1'], 'contains': ['240.a1', '240.g1'], 'core': '120.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [2444, 2792, 3172, 3733], 'generators': [721, 8], 'label': '960.4014.120.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.e1', 'normal_contained_in': ['24.e1', '40.e1', '60.b1', '60.d1', '60.e1'], 'normal_contains': ['240.a1'], 'normalizer': '1.a1', 'old_label': '120.e1', 'projective_image': '240.163', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.13', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461480
{'ambient': '960.4014', 'aut_centralizer_order': 2560, 'aut_label': '120.f1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10240, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['24.f1', '40.f1', '60.a1', '60.g1'], 'contains': ['240.b1', '240.c1', '240.d1'], 'core': '120.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [8269, 7724, 7262, 8759], 'generators': [1, 4], 'label': '960.4014.120.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.f1', 'normal_contained_in': ['24.f1', '40.f1', '60.a1'], 'normal_contains': ['240.b1', '240.c1', '240.d1'], 'normalizer': '1.a1', 'old_label': '120.f1', 'projective_image': '240.156', 'quotient_action_image': '2.1', 'quotient_action_kernel': '60.4', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '120.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461481
{'ambient': '960.4014', 'aut_centralizer_order': 256, 'aut_label': '120.g1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10240, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.g1', '40.g1', '60.f1', '60.g1'], 'contains': ['240.c1'], 'core': '240.c1', 'coset_action_label': None, 'count': 40, 'diagramx': [9256, -1, 8190, -1], 'generators': [3], 'label': '960.4014.120.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '120.g1', 'projective_image': '240.156', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461482
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '120.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10240, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.h1', '40.h1', '60.b1'], 'contains': ['240.e1', '240.f1', '240.g1'], 'core': '240.e1', 'coset_action_label': None, 'count': 8, 'diagramx': [457, -1, 1219, -1], 'generators': [1, 720], 'label': '960.4014.120.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '120.h1', 'projective_image': '240.39', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461483
{'ambient': '960.4014', 'aut_centralizer_order': 20480, 'aut_label': '160.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 20480, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '80.a1', '80.b1', '80.c1', '80.d1'], 'contains': ['320.a1', '480.a1'], 'core': '160.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6030, 6902, 4216, 6747], 'generators': [8, 640], 'label': '960.4014.160.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.a1', 'normal_contained_in': ['32.a1', '80.a1', '80.b1', '80.c1', '80.d1'], 'normal_contains': ['320.a1', '480.a1'], 'normalizer': '1.a1', 'old_label': '160.a1', 'projective_image': '160.143', 'quotient_action_image': '1.1', 'quotient_action_kernel': '160.143', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '160.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461484
{'ambient': '960.4014', 'aut_centralizer_order': 16, 'aut_label': '4.e1', 'aut_quo_index': 6, 'aut_stab_index': 4, 'aut_weyl_group': '640.21483', 'aut_weyl_index': 64, 'centralizer': '20.c1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.b1', '2.c1', '2.d1'], 'contains': ['8.b1', '8.g1', '12.e1', '20.f1'], 'core': '4.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [7663, 8492, 7926, 7250], 'generators': [3, 192, 640, 12, 480, 8], 'label': '960.4014.4.e1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1', 'normal_contained_in': ['2.b1', '2.c1', '2.d1'], 'normal_contains': ['8.b1', '8.g1', '12.e1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': '40.13', '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': '20.4'}
-
id: 113461485
{'ambient': '960.4014', 'aut_centralizer_order': 10240, 'aut_label': '160.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 20480, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '80.a1', '80.e1', '80.f1', '80.g1'], 'contains': ['320.a1', '480.b1'], 'core': '160.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1341, 819, 1993, 4584], 'generators': [480, 640], 'label': '960.4014.160.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.b1', 'normal_contained_in': ['32.b1', '80.a1', '80.e1'], 'normal_contains': ['320.a1', '480.b1'], 'normalizer': '1.a1', 'old_label': '160.b1', 'projective_image': '160.142', 'quotient_action_image': '1.1', 'quotient_action_kernel': '160.142', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '160.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461486
{'ambient': '960.4014', 'aut_centralizer_order': 5120, 'aut_label': '160.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 20480, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '80.b1', '80.f1'], 'contains': ['320.a1', '480.c1'], 'core': '320.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3687, -1, 2691, -1], 'generators': [1, 640], 'label': '960.4014.160.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '80.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '160.c1', 'projective_image': '320.549', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461487
{'ambient': '960.4014', 'aut_centralizer_order': 10240, 'aut_label': '192.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 10240, 'centralizer': '2.a1', 'complements': ['5.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '96.a1', '96.b1', '96.c1'], 'contains': ['960.a1'], 'core': '192.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3784, 5786, 2691, 6027], 'generators': [192], 'label': '960.4014.192.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.a1', 'normal_contained_in': ['64.a1', '96.a1', '96.b1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '192.a1', 'projective_image': '960.4014', 'quotient_action_image': '2.1', 'quotient_action_kernel': '96.161', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '192.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461488
{'ambient': '960.4014', 'aut_centralizer_order': 20480, 'aut_label': '240.a1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 20480, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '80.a1', '120.a1', '120.b1', '120.c1', '120.d1', '120.e1'], 'contains': ['480.a1', '480.b1'], 'core': '240.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3178, 3911, 3777, 5084], 'generators': [8, 480], 'label': '960.4014.240.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '240.a1', 'normal_contained_in': ['48.a1', '80.a1', '120.a1', '120.b1', '120.c1', '120.d1', '120.e1'], 'normal_contains': ['480.a1', '480.b1'], 'normalizer': '1.a1', 'old_label': '240.a1', 'projective_image': '240.163', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.163', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461489
{'ambient': '960.4014', 'aut_centralizer_order': 10240, 'aut_label': '240.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 20480, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['48.b1', '80.b1', '120.a1', '120.f1'], 'contains': ['480.a1', '480.c1'], 'core': '240.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5671, 6811, 4565, 7453], 'generators': [1, 8], 'label': '960.4014.240.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '240.b1', 'normal_contained_in': ['48.b1', '80.b1', '120.a1', '120.f1'], 'normal_contains': ['480.a1'], 'normalizer': '1.a1', 'old_label': '240.b1', 'projective_image': '480.715', 'quotient_action_image': '2.1', 'quotient_action_kernel': '120.31', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '240.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461490
{'ambient': '960.4014', 'aut_centralizer_order': 10240, 'aut_label': '240.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 20480, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['48.c1', '80.c1', '120.b1', '120.f1', '120.g1'], 'contains': ['480.a1'], 'core': '240.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [8521, 7815, 6932, 8426], 'generators': [4], 'label': '960.4014.240.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '240.c1', 'normal_contained_in': ['48.c1', '80.c1', '120.b1', '120.f1'], 'normal_contains': ['480.a1'], 'normalizer': '1.a1', 'old_label': '240.c1', 'projective_image': '240.156', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.156', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461491
{'ambient': '960.4014', 'aut_centralizer_order': 10240, 'aut_label': '240.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 20480, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['48.d1', '80.d1', '120.d1', '120.f1'], 'contains': ['480.a1'], 'core': '240.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [6700, 7430, 6133, 6962], 'generators': [5], 'label': '960.4014.240.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '240.d1', 'normal_contained_in': ['48.d1', '80.d1', '120.d1', '120.f1'], 'normal_contains': ['480.a1'], 'normalizer': '1.a1', 'old_label': '240.d1', 'projective_image': '480.715', 'quotient_action_image': '2.1', 'quotient_action_kernel': '120.31', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '240.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461492
{'ambient': '960.4014', 'aut_centralizer_order': 5120, 'aut_label': '240.e1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 20480, 'centralizer': '1.a1', 'complements': ['4.g1'], 'conjugacy_class_count': 4, 'contained_in': ['48.e1', '80.e1', '120.c1', '120.h1'], 'contains': ['480.b1'], 'core': '240.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [457, 1109, 1219, 1623], 'generators': [720], 'label': '960.4014.240.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '240.e1', 'normal_contained_in': ['48.e1', '80.e1', '120.c1'], 'normal_contains': ['480.b1'], 'normalizer': '1.a1', 'old_label': '240.e1', 'projective_image': '240.39', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.39', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461495
{'ambient': '960.4014', 'aut_centralizer_order': 160, 'aut_label': '4.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '128.2319', 'aut_weyl_index': 320, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1'], 'contains': ['8.c1', '8.d1', '8.e1', '12.f1', '20.e1'], 'core': '4.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [2749, 2735, 2855, 1980], 'generators': [5, 480, 640, 192, 240, 8], 'label': '960.4014.4.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.f1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.c1', '8.d1', '8.e1', '12.f1', '20.e1'], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': '40.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461496
{'ambient': '960.4014', 'aut_centralizer_order': 20480, 'aut_label': '320.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 20480, 'centralizer': '1.a1', 'complements': ['3.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '160.a1', '160.b1', '160.c1'], 'contains': ['960.a1'], 'core': '320.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3656, 5216, 2538, 5813], 'generators': [640], 'label': '960.4014.320.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '320.a1', 'normal_contained_in': ['64.a1', '160.a1', '160.b1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '320.a1', 'projective_image': '320.549', 'quotient_action_image': '1.1', 'quotient_action_kernel': '320.549', 'quotient_action_kernel_order': 320, 'quotient_fusion': None, 'short_label': '320.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461497
{'ambient': '960.4014', 'aut_centralizer_order': 40960, 'aut_label': '480.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 40960, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.a1', '160.a1', '240.a1', '240.b1', '240.c1', '240.d1'], 'contains': ['960.a1'], 'core': '480.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6318, 6811, 4385, 6962], 'generators': [8], 'label': '960.4014.480.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.a1', 'normal_contained_in': ['96.a1', '160.a1', '240.a1', '240.b1', '240.c1', '240.d1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.a1', 'projective_image': '480.715', 'quotient_action_image': '1.1', 'quotient_action_kernel': '480.715', 'quotient_action_kernel_order': 480, 'quotient_fusion': None, 'short_label': '480.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461498
{'ambient': '960.4014', 'aut_centralizer_order': 20480, 'aut_label': '480.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 40960, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['96.b1', '160.b1', '240.a1', '240.e1', '240.f1', '240.g1'], 'contains': ['960.a1'], 'core': '480.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1469, 1460, 2162, 4825], 'generators': [480], 'label': '960.4014.480.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.b1', 'normal_contained_in': ['96.b1', '160.b1', '240.a1', '240.e1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.b1', 'projective_image': '480.714', 'quotient_action_image': '1.1', 'quotient_action_kernel': '480.714', 'quotient_action_kernel_order': 480, 'quotient_fusion': None, 'short_label': '480.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461499
{'ambient': '960.4014', 'aut_centralizer_order': 10240, 'aut_label': '480.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 40960, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.c1', '160.c1', '240.b1', '240.f1'], 'contains': ['960.a1'], 'core': '960.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4001, -1, 2843, -1], 'generators': [1], 'label': '960.4014.480.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '240.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '480.c1', 'projective_image': '960.4014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461500
{'ambient': '960.4014', 'aut_centralizer_order': None, 'aut_label': '960.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['192.a1', '320.a1', '480.a1', '480.b1', '480.c1'], 'contains': [], 'core': '960.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3784, 5394, 2691, 5920], 'generators': [], 'label': '960.4014.960.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '960.a1', 'normal_contained_in': ['192.a1', '320.a1', '480.a1', '480.b1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '960.a1', 'projective_image': '960.4014', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461501
{'ambient': '960.4014', 'aut_centralizer_order': 8, 'aut_label': '4.g1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '640.21483', 'aut_weyl_index': 64, 'centralizer': '20.c1', 'complements': ['240.e1', '240.g1'], 'conjugacy_class_count': 8, 'contained_in': ['2.b1'], 'contains': ['8.f1', '8.g1', '12.g1', '20.g1'], 'core': '4.g1', 'coset_action_label': None, 'count': 8, 'diagramx': [9246, 9635, 9185, 9024], 'generators': [1, 192, 640, 492, 630, 8], 'label': '960.4014.4.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.g1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.f1', '8.g1', '12.g1'], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': '80.36', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113461502
{'ambient': '960.4014', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': 5, 'aut_weyl_group': '2048.cru', 'aut_weyl_index': 20, 'centralizer': '20.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['10.a1', '10.b1', '10.c1', '10.d1', '15.a1'], 'core': '10.a1', 'coset_action_label': None, 'count': 5, 'diagramx': [6824, -1, 6573, -1], 'generators': [1, 480, 4, 2, 8, 240, 640], 'label': '960.4014.5.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '5.a1', 'projective_image': '20.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 113461503
{'ambient': '960.4014', 'aut_centralizer_order': 80, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '512.514818', 'aut_weyl_index': 80, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.b1', '12.c1', '12.d1', '12.f1', '30.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4293, 5792, 4766, 4694], 'generators': [1, 480, 720, 192, 4, 8], 'label': '960.4014.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.a1', '12.b1', '12.c1', '12.d1', '12.f1', '30.a1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '60.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461504
{'ambient': '960.4014', 'aut_centralizer_order': 8, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2560.dp', 'aut_weyl_index': 16, 'centralizer': '20.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.a1', '12.e1', '12.g1', '30.b1'], 'core': '6.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [7798, 9025, 8775, 7786], 'generators': [1, 192, 480, 484, 146, 8], 'label': '960.4014.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.b1', '3.a1'], 'normal_contains': ['12.a1', '12.e1', '12.g1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '120.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113461505
{'ambient': '960.4014', 'aut_centralizer_order': 8, 'aut_label': '6.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2560.ef', 'aut_weyl_index': 16, 'centralizer': '20.c1', 'complements': ['160.c1'], 'conjugacy_class_count': 2, 'contained_in': ['2.c1', '3.a1'], 'contains': ['12.c1', '12.e1', '30.c1'], 'core': '6.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [5879, 8149, 6309, 5813], 'generators': [3, 192, 12, 480, 720, 8], 'label': '960.4014.6.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.c1', 'normal_contained_in': ['2.c1', '3.a1'], 'normal_contains': ['12.c1', '12.e1'], 'normalizer': '1.a1', 'old_label': '6.c1', 'projective_image': '60.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113461506
{'ambient': '960.4014', 'aut_centralizer_order': 8, 'aut_label': '6.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2560.ef', 'aut_weyl_index': 16, 'centralizer': '20.c1', 'complements': ['160.c1'], 'conjugacy_class_count': 2, 'contained_in': ['2.d1', '3.a1'], 'contains': ['12.d1', '12.e1', '30.d1'], 'core': '6.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [6991, 6911, 7619, 6256], 'generators': [3, 192, 12, 480, 146, 8], 'label': '960.4014.6.d1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.d1', 'normal_contained_in': ['2.d1', '3.a1'], 'normal_contains': ['12.d1', '12.e1'], 'normalizer': '1.a1', 'old_label': '6.d1', 'projective_image': '120.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.d1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113461507
{'ambient': '960.4014', 'aut_centralizer_order': 640, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.196', 'aut_weyl_index': 640, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1'], 'contains': ['16.a1', '16.b1', '16.f1', '24.a1', '40.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3237, 4946, 3396, 6182], 'generators': [1, 480, 640, 8, 192], 'label': '960.4014.8.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1'], 'normal_contains': ['16.a1', '16.b1', '24.a1', '40.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '80.43', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461508
{'ambient': '960.4014', 'aut_centralizer_order': 40, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 40, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.c1', '4.d1', '4.f1', '6.a1', '10.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4870, 5654, 4514, 4495], 'generators': [1, 8, 240, 640, 4, 480, 192], 'label': '960.4014.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.c1', '4.d1', '4.f1', '6.a1', '10.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '20.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461509
{'ambient': '960.4014', 'aut_centralizer_order': 640, 'aut_label': '8.b1', 'aut_quo_index': 42, 'aut_stab_index': 1, 'aut_weyl_group': '64.196', 'aut_weyl_index': 640, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.c1', '4.d1', '4.e1'], 'contains': ['16.a1', '16.c1', '24.b1', '40.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5949, 7421, 5818, 7247], 'generators': [4, 640, 192, 480, 8], 'label': '960.4014.8.b1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.c1', '4.d1', '4.e1'], 'normal_contains': ['16.a1', '16.c1', '24.b1', '40.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '40.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461510
{'ambient': '960.4014', 'aut_centralizer_order': 640, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 1280, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '4.c1', '4.f1'], 'contains': ['16.a1', '16.e1', '24.c1', '40.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [1483, 1608, 1215, 216], 'generators': [8, 640, 192, 240, 480], 'label': '960.4014.8.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': ['4.b1', '4.c1', '4.f1'], 'normal_contains': ['16.a1', '16.e1', '24.c1', '40.c1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '40.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461511
{'ambient': '960.4014', 'aut_centralizer_order': 640, 'aut_label': '8.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.196', 'aut_weyl_index': 640, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.f1'], 'contains': ['16.a1', '16.d1', '24.d1', '40.d1'], 'core': '8.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [3642, 5660, 5474, 5664], 'generators': [5, 640, 192, 480, 8], 'label': '960.4014.8.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': ['4.a1', '4.f1'], 'normal_contains': ['16.a1', '16.d1', '24.d1', '40.d1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '80.43', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461512
{'ambient': '960.4014', 'aut_centralizer_order': 640, 'aut_label': '8.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 1280, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '4.d1', '4.f1'], 'contains': ['16.a1', '16.g1', '24.e1', '40.e1'], 'core': '8.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [2192, 2592, 2340, 2221], 'generators': [241, 640, 192, 8, 480], 'label': '960.4014.8.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': ['4.b1', '4.d1', '4.f1'], 'normal_contains': ['16.a1', '24.e1', '40.e1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': '80.43', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461513
{'ambient': '960.4014', 'aut_centralizer_order': 320, 'aut_label': '8.f1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '32.45', 'aut_weyl_index': 1280, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '4.g1'], 'contains': ['16.b1', '16.c1', '16.d1', '24.f1', '40.f1'], 'core': '8.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [8313, 8513, 6943, 8780], 'generators': [1, 640, 192, 4, 8], 'label': '960.4014.8.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': ['4.a1', '4.g1'], 'normal_contains': ['16.b1', '16.c1', '16.d1', '24.f1', '40.f1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': '80.36', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461514
{'ambient': '960.4014', 'aut_centralizer_order': 32, 'aut_label': '8.g1', 'aut_quo_index': 2, 'aut_stab_index': 8, 'aut_weyl_group': '160.236', 'aut_weyl_index': 256, 'centralizer': '20.c1', 'complements': ['120.h1'], 'conjugacy_class_count': 8, 'contained_in': ['4.e1', '4.g1'], 'contains': ['16.c1', '24.g1', '40.g1'], 'core': '8.g1', 'coset_action_label': None, 'count': 8, 'diagramx': [9482, 9882, 9122, 9271], 'generators': [3, 12, 8, 640, 192], 'label': '960.4014.8.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': ['4.e1', '4.g1'], 'normal_contains': ['16.c1', '24.g1'], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': '80.36', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113461515
{'ambient': '960.4014', 'aut_centralizer_order': 160, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '32.45', 'aut_weyl_index': 1280, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.b1'], 'contains': ['16.e1', '16.f1', '16.g1', '24.h1', '40.h1'], 'core': '16.e1', 'coset_action_label': None, 'count': 8, 'diagramx': [441, -1, 778, -1], 'generators': [1, 640, 192, 240, 480], 'label': '960.4014.8.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.h1', 'projective_image': '80.10', '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': '1.1'}
-
id: 113461516
{'ambient': '960.4014', 'aut_centralizer_order': 160, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '256.29598', 'aut_weyl_index': 160, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '5.a1'], 'contains': ['20.a1', '20.b1', '20.c1', '20.d1', '20.e1', '30.a1'], 'core': '10.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4808, 3021, 4263, 3498], 'generators': [1, 480, 8, 4, 240, 640], 'label': '960.4014.10.a1', 'mobius_quo': 0, 'mobius_sub': 5, 'normal_closure': '10.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['20.a1', '20.b1', '20.c1', '20.d1', '20.e1', '30.a1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': '20.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461517
{'ambient': '960.4014', 'aut_centralizer_order': 16, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '256.53380', 'aut_weyl_index': 160, 'centralizer': '20.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '5.a1'], 'contains': ['20.a1', '20.f1', '20.g1', '30.b1'], 'core': '20.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [8852, -1, 8336, -1], 'generators': [1, 8, 492, 630, 480, 640], 'label': '960.4014.10.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.b1', 'projective_image': '40.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 113461518
{'ambient': '960.4014', 'aut_centralizer_order': 16, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '256.16429', 'aut_weyl_index': 160, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.c1', '5.a1'], 'contains': ['20.c1', '20.f1', '30.c1'], 'core': '20.c1', 'coset_action_label': None, 'count': 10, 'diagramx': [5986, -1, 5960, -1], 'generators': [3, 8, 480, 240, 640, 12], 'label': '960.4014.10.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.c1', 'projective_image': '20.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461519
{'ambient': '960.4014', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '20.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.e1', '4.g1', '6.b1', '10.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [7847, 8492, 8131, 7250], 'generators': [1, 8, 480, 640, 630, 192, 492], 'label': '960.4014.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.e1', '4.g1', '6.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '40.13', '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': '20.4'}
-
id: 113461520
{'ambient': '960.4014', 'aut_centralizer_order': 16, 'aut_label': '10.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '256.16429', 'aut_weyl_index': 160, 'centralizer': '20.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.d1', '5.a1'], 'contains': ['20.d1', '20.f1', '30.d1'], 'core': '20.d1', 'coset_action_label': None, 'count': 10, 'diagramx': [7766, -1, 7222, -1], 'generators': [3, 8, 480, 246, 640, 12], 'label': '960.4014.10.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '10.d1', 'projective_image': '40.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 113461521
{'ambient': '960.4014', 'aut_centralizer_order': 320, 'aut_label': '12.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '128.1031', 'aut_weyl_index': 320, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '6.a1', '6.b1'], 'contains': ['24.a1', '24.b1', '24.d1', '24.f1', '60.a1'], 'core': '12.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6280, 8138, 6575, 7765], 'generators': [1, 480, 192, 4, 8], 'label': '960.4014.12.a1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1', '6.b1'], 'normal_contains': ['24.a1', '24.b1', '24.d1', '24.f1', '60.a1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '120.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461522
{'ambient': '960.4014', 'aut_centralizer_order': 320, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '64.260', 'aut_weyl_index': 640, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '6.a1'], 'contains': ['24.a1', '24.c1', '24.e1', '24.h1', '60.b1'], 'core': '12.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1667, 2721, 1972, 2739], 'generators': [1, 720, 192, 8, 480], 'label': '960.4014.12.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': ['4.b1', '6.a1'], 'normal_contains': ['24.a1', '24.c1', '24.e1', '60.b1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '120.19', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461523
{'ambient': '960.4014', 'aut_centralizer_order': 320, 'aut_label': '12.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '128.1031', 'aut_weyl_index': 320, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '6.a1', '6.c1'], 'contains': ['24.b1', '24.c1', '60.c1'], 'core': '12.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3878, 6740, 4109, 4694], 'generators': [4, 192, 8, 720, 480], 'label': '960.4014.12.c1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.c1', 'normal_contained_in': ['4.c1', '6.a1', '6.c1'], 'normal_contains': ['24.b1', '24.c1', '60.c1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '60.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461524
{'ambient': '960.4014', 'aut_centralizer_order': 320, 'aut_label': '12.d1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '128.1031', 'aut_weyl_index': 320, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '6.a1', '6.d1'], 'contains': ['24.b1', '24.e1', '60.d1'], 'core': '12.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [5426, 6190, 5129, 5179], 'generators': [721, 192, 8, 4, 480], 'label': '960.4014.12.d1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.d1', 'normal_contained_in': ['4.d1', '6.a1', '6.d1'], 'normal_contains': ['24.b1', '24.e1', '60.d1'], 'normalizer': '1.a1', 'old_label': '12.d1', 'projective_image': '120.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461525
{'ambient': '960.4014', 'aut_centralizer_order': 32, 'aut_label': '12.e1', 'aut_quo_index': 6, 'aut_stab_index': 4, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 128, 'centralizer': '20.c1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.e1', '6.b1', '6.c1', '6.d1'], 'contains': ['24.b1', '24.g1', '60.f1'], 'core': '12.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [7308, 9248, 8302, 8289], 'generators': [3, 12, 8, 480, 192], 'label': '960.4014.12.e1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.e1', 'normal_contained_in': ['4.e1', '6.b1', '6.c1', '6.d1'], 'normal_contains': ['24.b1', '24.g1'], 'normalizer': '1.a1', 'old_label': '12.e1', 'projective_image': '120.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113461526
{'ambient': '960.4014', 'aut_centralizer_order': 320, 'aut_label': '12.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '64.260', 'aut_weyl_index': 640, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.f1', '6.a1'], 'contains': ['24.c1', '24.d1', '24.e1', '60.e1'], 'core': '12.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [2537, 4595, 3029, 1736], 'generators': [5, 192, 8, 720, 480], 'label': '960.4014.12.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.f1', 'normal_contained_in': ['4.f1', '6.a1'], 'normal_contains': ['24.c1', '24.d1', '24.e1', '60.e1'], 'normalizer': '1.a1', 'old_label': '12.f1', 'projective_image': '120.19', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461527
{'ambient': '960.4014', 'aut_centralizer_order': 16, 'aut_label': '12.g1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '320.1595', 'aut_weyl_index': 128, 'centralizer': '20.c1', 'complements': ['80.e1', '80.g1'], 'conjugacy_class_count': 8, 'contained_in': ['4.g1', '6.b1'], 'contains': ['24.f1', '24.g1', '60.g1'], 'core': '12.g1', 'coset_action_label': None, 'count': 8, 'diagramx': [9001, 9875, 9893, 9696], 'generators': [1, 484, 8, 146, 192], 'label': '960.4014.12.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.g1', 'normal_contained_in': ['4.g1', '6.b1'], 'normal_contains': ['24.f1', '24.g1'], 'normalizer': '1.a1', 'old_label': '12.g1', 'projective_image': '240.156', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.g1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113461529
{'ambient': '960.4014', 'aut_centralizer_order': 2560, 'aut_label': '16.a1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 2560, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1'], 'contains': ['32.a1', '32.b1', '48.a1', '80.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3155, 3955, 3447, 4099], 'generators': [8, 640, 192, 480], 'label': '960.4014.16.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1'], 'normal_contains': ['32.a1', '32.b1', '48.a1', '80.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '80.43', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461530
{'ambient': '960.4014', 'aut_centralizer_order': 4, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '20.c1', 'complements': ['480.c1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.c1', '4.e1', '6.c1', '10.c1'], 'core': '2.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [5729, 7822, 6106, 5370], 'generators': [3, 8, 640, 12, 240, 192, 480], 'label': '960.4014.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.c1', '4.e1', '6.c1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '20.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113461531
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '16.b1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 2560, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.f1'], 'contains': ['32.a1', '32.c1', '48.b1', '80.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5515, 7060, 4514, 8274], 'generators': [1, 640, 192, 8], 'label': '960.4014.16.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.f1'], 'normal_contains': ['32.a1', '48.b1', '80.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '160.143', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461532
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '16.c1', 'aut_quo_index': 12, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 2560, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '8.f1', '8.g1'], 'contains': ['32.a1', '48.c1', '80.c1'], 'core': '16.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [8533, 8981, 7025, 9134], 'generators': [4, 192, 8, 640], 'label': '960.4014.16.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': ['8.b1', '8.f1', '8.g1'], 'normal_contains': ['32.a1', '48.c1', '80.c1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '80.36', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461533
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '16.d1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 2560, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '8.f1'], 'contains': ['32.a1', '48.d1', '80.d1'], 'core': '16.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [6606, 7484, 6839, 7899], 'generators': [5, 192, 8, 640], 'label': '960.4014.16.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': ['8.d1', '8.f1'], 'normal_contains': ['32.a1', '48.d1', '80.d1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': '160.143', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461534
{'ambient': '960.4014', 'aut_centralizer_order': 640, 'aut_label': '16.e1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 2560, 'centralizer': '2.a1', 'complements': ['60.g1'], 'conjugacy_class_count': 4, 'contained_in': ['8.c1', '8.h1'], 'contains': ['32.b1', '48.e1', '80.e1'], 'core': '16.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [205, 118, 74, 579], 'generators': [240, 192, 480, 640], 'label': '960.4014.16.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': ['8.c1'], 'normal_contains': ['32.b1', '48.e1', '80.e1'], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': '80.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461535
{'ambient': '960.4014', 'aut_centralizer_order': 640, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 2560, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.h1'], 'contains': ['32.b1', '32.c1', '48.f1', '80.f1'], 'core': '32.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1045, -1, 1217, -1], 'generators': [1, 640, 192, 480], 'label': '960.4014.16.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.f1', 'projective_image': '160.142', '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': '1.1'}
-
id: 113461536
{'ambient': '960.4014', 'aut_centralizer_order': 640, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 2560, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.e1', '8.h1'], 'contains': ['32.b1', '48.g1', '80.g1'], 'core': '32.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [529, -1, 951, -1], 'generators': [241, 192, 480, 640], 'label': '960.4014.16.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.g1', 'projective_image': '160.142', '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': '1.1'}
-
id: 113461537
{'ambient': '960.4014', 'aut_centralizer_order': 640, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.202', 'aut_weyl_index': 640, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '10.a1', '10.b1'], 'contains': ['40.a1', '40.b1', '40.d1', '40.f1', '60.a1'], 'core': '20.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7189, 5438, 6186, 6730], 'generators': [1, 8, 4, 480, 640], 'label': '960.4014.20.a1', 'mobius_quo': 0, 'mobius_sub': -10, 'normal_closure': '20.a1', 'normal_contained_in': ['4.a1', '10.a1'], 'normal_contains': ['40.a1', '40.b1', '40.d1', '40.f1', '60.a1'], 'normalizer': '1.a1', 'old_label': '20.a1', 'projective_image': '40.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461538
{'ambient': '960.4014', 'aut_centralizer_order': 640, 'aut_label': '20.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.51', 'aut_weyl_index': 1280, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '10.a1'], 'contains': ['40.a1', '40.c1', '40.e1', '40.h1', '60.b1'], 'core': '20.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [2451, 725, 1583, 1219], 'generators': [1, 480, 8, 240, 640], 'label': '960.4014.20.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.b1', 'normal_contained_in': ['4.b1', '10.a1'], 'normal_contains': ['40.a1', '40.c1', '40.e1', '60.b1'], 'normalizer': '1.a1', 'old_label': '20.b1', 'projective_image': '40.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461539
{'ambient': '960.4014', 'aut_centralizer_order': 640, 'aut_label': '20.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.202', 'aut_weyl_index': 640, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '10.a1', '10.c1'], 'contains': ['40.b1', '40.c1', '60.c1'], 'core': '20.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4423, 4340, 3764, 3257], 'generators': [4, 480, 240, 640, 8], 'label': '960.4014.20.c1', 'mobius_quo': 0, 'mobius_sub': -10, 'normal_closure': '20.c1', 'normal_contained_in': ['4.c1', '10.a1'], 'normal_contains': ['40.b1', '40.c1', '60.c1'], 'normalizer': '1.a1', 'old_label': '20.c1', 'projective_image': '20.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.4', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461540
{'ambient': '960.4014', 'aut_centralizer_order': 640, 'aut_label': '20.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.202', 'aut_weyl_index': 640, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1', '10.a1', '10.d1'], 'contains': ['40.b1', '40.e1', '60.d1'], 'core': '20.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [5072, 2121, 4785, 4209], 'generators': [241, 480, 4, 640, 8], 'label': '960.4014.20.d1', 'mobius_quo': 0, 'mobius_sub': -10, 'normal_closure': '20.d1', 'normal_contained_in': ['4.d1', '10.a1'], 'normal_contains': ['40.b1', '40.e1', '60.d1'], 'normalizer': '1.a1', 'old_label': '20.d1', 'projective_image': '40.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461541
{'ambient': '960.4014', 'aut_centralizer_order': 4, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '20.c1', 'complements': ['480.c1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.d1', '4.e1', '6.d1', '10.d1'], 'core': '2.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [7336, 6932, 7456, 6530], 'generators': [3, 8, 640, 12, 630, 192, 480], 'label': '960.4014.2.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.d1', '4.e1', '6.d1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': '40.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113461542
{'ambient': '960.4014', 'aut_centralizer_order': 640, 'aut_label': '20.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.51', 'aut_weyl_index': 1280, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.f1', '10.a1'], 'contains': ['40.c1', '40.d1', '40.e1', '60.e1'], 'core': '20.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [3034, 1440, 2684, 701], 'generators': [5, 480, 240, 640, 8], 'label': '960.4014.20.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.e1', 'normal_contained_in': ['4.f1', '10.a1'], 'normal_contains': ['40.c1', '40.d1', '40.e1', '60.e1'], 'normalizer': '1.a1', 'old_label': '20.e1', 'projective_image': '40.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461543
{'ambient': '960.4014', 'aut_centralizer_order': 64, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '32.46', 'aut_weyl_index': 1280, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.e1', '10.b1', '10.c1', '10.d1'], 'contains': ['40.b1', '40.g1', '60.f1'], 'core': '40.b1', 'coset_action_label': None, 'count': 20, 'diagramx': [9379, -1, 7953, -1], 'generators': [3, 8, 480, 640, 12], 'label': '960.4014.20.f1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.f1', 'projective_image': '40.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461544
{'ambient': '960.4014', 'aut_centralizer_order': 32, 'aut_label': '20.g1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '32.46', 'aut_weyl_index': 1280, 'centralizer': '20.c1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.g1', '10.b1'], 'contains': ['40.f1', '40.g1', '60.g1'], 'core': '40.f1', 'coset_action_label': None, 'count': 40, 'diagramx': [9918, -1, 9532, -1], 'generators': [1, 8, 630, 640, 492], 'label': '960.4014.20.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '20.g1', 'projective_image': '80.36', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.g1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 113461545
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.25', 'aut_weyl_index': 1280, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '12.a1', '12.b1'], 'contains': ['48.a1', '48.b1', '48.f1', '120.a1'], 'core': '24.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3692, 4774, 4147, 6054], 'generators': [1, 480, 192, 8], 'label': '960.4014.24.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.a1', '12.b1'], 'normal_contains': ['48.a1', '48.b1', '120.a1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '240.163', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461546
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '24.b1', 'aut_quo_index': 42, 'aut_stab_index': 1, 'aut_weyl_group': '32.25', 'aut_weyl_index': 1280, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '12.a1', '12.c1', '12.d1', '12.e1'], 'contains': ['48.a1', '48.c1', '120.b1'], 'core': '24.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6210, 8092, 6241, 7524], 'generators': [4, 192, 8, 480], 'label': '960.4014.24.b1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '24.b1', 'normal_contained_in': ['8.b1', '12.a1', '12.c1', '12.d1', '12.e1'], 'normal_contains': ['48.a1', '48.c1', '120.b1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '120.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461547
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '24.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 2560, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '12.b1', '12.c1', '12.f1'], 'contains': ['48.a1', '48.e1', '120.c1'], 'core': '24.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [1488, 2613, 1906, 1439], 'generators': [8, 192, 480, 720], 'label': '960.4014.24.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': ['8.c1', '12.b1', '12.c1', '12.f1'], 'normal_contains': ['48.a1', '48.e1', '120.c1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '120.19', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461548
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '24.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.25', 'aut_weyl_index': 1280, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1', '12.a1', '12.f1'], 'contains': ['48.a1', '48.d1', '120.d1'], 'core': '24.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [4186, 6641, 5552, 5536], 'generators': [5, 192, 8, 480], 'label': '960.4014.24.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': ['8.d1', '12.a1', '12.f1'], 'normal_contains': ['48.a1', '48.d1', '120.d1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': '240.163', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461549
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '24.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 2560, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.e1', '12.b1', '12.d1', '12.f1'], 'contains': ['48.a1', '48.g1', '120.e1'], 'core': '24.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [1868, 3162, 2927, 3123], 'generators': [721, 192, 480, 8], 'label': '960.4014.24.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.e1', 'normal_contained_in': ['8.e1', '12.b1', '12.d1', '12.f1'], 'normal_contains': ['48.a1', '120.e1'], 'normalizer': '1.a1', 'old_label': '24.e1', 'projective_image': '240.163', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461550
{'ambient': '960.4014', 'aut_centralizer_order': 640, 'aut_label': '24.f1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 2560, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.f1', '12.a1', '12.g1'], 'contains': ['48.b1', '48.c1', '48.d1', '120.f1'], 'core': '24.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [8402, 9447, 7636, 9509], 'generators': [1, 192, 8, 4], 'label': '960.4014.24.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': ['8.f1', '12.a1', '12.g1'], 'normal_contains': ['48.b1', '48.c1', '48.d1', '120.f1'], 'normalizer': '1.a1', 'old_label': '24.f1', 'projective_image': '240.156', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461551
{'ambient': '960.4014', 'aut_centralizer_order': 64, 'aut_label': '24.g1', 'aut_quo_index': 2, 'aut_stab_index': 8, 'aut_weyl_group': '80.50', 'aut_weyl_index': 512, 'centralizer': '20.c1', 'complements': ['40.h1'], 'conjugacy_class_count': 8, 'contained_in': ['8.g1', '12.e1', '12.g1'], 'contains': ['48.c1', '120.g1'], 'core': '24.g1', 'coset_action_label': None, 'count': 8, 'diagramx': [9055, 9878, 8380, 9890], 'generators': [3, 8, 192, 12], 'label': '960.4014.24.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.g1', 'normal_contained_in': ['8.g1', '12.e1', '12.g1'], 'normal_contains': ['48.c1'], 'normalizer': '1.a1', 'old_label': '24.g1', 'projective_image': '240.156', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.g1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113461552
{'ambient': '960.4014', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '20.c1', 'complements': ['320.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '6.c1', '6.d1', '15.a1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6504, 7397, 7042, 5947], 'generators': [1, 8, 720, 4, 2, 192, 480], 'label': '960.4014.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1', '6.c1', '6.d1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '60.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '20.4'}
-
id: 113461553
{'ambient': '960.4014', 'aut_centralizer_order': 320, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '16.10', 'aut_weyl_index': 2560, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.h1', '12.b1'], 'contains': ['48.e1', '48.f1', '48.g1', '120.h1'], 'core': '48.e1', 'coset_action_label': None, 'count': 8, 'diagramx': [278, -1, 685, -1], 'generators': [1, 192, 480, 720], 'label': '960.4014.24.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.h1', 'projective_image': '240.39', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461554
{'ambient': '960.4014', 'aut_centralizer_order': 320, 'aut_label': '30.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 320, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '10.a1', '15.a1'], 'contains': ['60.a1', '60.b1', '60.c1', '60.d1', '60.e1'], 'core': '30.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4860, 3668, 4447, 3733], 'generators': [1, 4, 720], 'label': '960.4014.30.a1', 'mobius_quo': 0, 'mobius_sub': -5, 'normal_closure': '30.a1', 'normal_contained_in': ['6.a1', '10.a1'], 'normal_contains': ['60.a1', '60.b1', '60.c1', '60.d1', '60.e1'], 'normalizer': '1.a1', 'old_label': '30.a1', 'projective_image': '60.10', 'quotient_action_image': '2.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '30.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461555
{'ambient': '960.4014', 'aut_centralizer_order': 32, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 320, 'centralizer': '20.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.b1', '10.b1', '15.a1'], 'contains': ['60.a1', '60.f1', '60.g1'], 'core': '60.a1', 'coset_action_label': None, 'count': 10, 'diagramx': [8428, -1, 8712, -1], 'generators': [1, 146, 480], 'label': '960.4014.30.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '30.b1', 'projective_image': '120.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 113461556
{'ambient': '960.4014', 'aut_centralizer_order': 32, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '128.753', 'aut_weyl_index': 320, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.c1', '10.c1', '15.a1'], 'contains': ['60.c1', '60.f1'], 'core': '60.c1', 'coset_action_label': None, 'count': 10, 'diagramx': [6089, -1, 7260, -1], 'generators': [3, 720], 'label': '960.4014.30.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '30.c1', 'projective_image': '60.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461557
{'ambient': '960.4014', 'aut_centralizer_order': 32, 'aut_label': '30.d1', 'aut_quo_index': None, 'aut_stab_index': 10, 'aut_weyl_group': '128.753', 'aut_weyl_index': 320, 'centralizer': '20.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.d1', '10.d1', '15.a1'], 'contains': ['60.d1', '60.f1'], 'core': '60.d1', 'coset_action_label': None, 'count': 10, 'diagramx': [7518, -1, 7592, -1], 'generators': [3, 722], 'label': '960.4014.30.d1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '30.d1', 'projective_image': '120.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 113461558
{'ambient': '960.4014', 'aut_centralizer_order': 5120, 'aut_label': '32.a1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 5120, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1', '16.c1', '16.d1'], 'contains': ['64.a1', '96.a1', '160.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5911, 7751, 4216, 7009], 'generators': [8, 192, 640], 'label': '960.4014.32.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1', '16.c1', '16.d1'], 'normal_contains': ['64.a1', '96.a1', '160.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '160.143', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.10', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461559
{'ambient': '960.4014', 'aut_centralizer_order': 2560, 'aut_label': '32.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 5120, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '16.e1', '16.f1', '16.g1'], 'contains': ['64.a1', '96.b1', '160.b1'], 'core': '32.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [970, 819, 1828, 3400], 'generators': [480, 192, 640], 'label': '960.4014.32.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': ['16.a1', '16.e1'], 'normal_contains': ['64.a1', '96.b1', '160.b1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': '160.142', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.10', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461560
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 5120, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '16.f1'], 'contains': ['64.a1', '96.c1', '160.c1'], 'core': '64.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3579, -1, 2648, -1], 'generators': [1, 192, 640], 'label': '960.4014.32.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '32.c1', 'projective_image': '320.549', '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': '1.1'}
-
id: 113461561
{'ambient': '960.4014', 'aut_centralizer_order': 2560, 'aut_label': '40.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 2560, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '20.a1', '20.b1'], 'contains': ['80.a1', '80.b1', '80.f1', '120.a1'], 'core': '40.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4091, 4437, 3785, 5060], 'generators': [1, 8, 480, 640], 'label': '960.4014.40.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.a1', 'normal_contained_in': ['8.a1', '20.a1', '20.b1'], 'normal_contains': ['80.a1', '80.b1', '120.a1'], 'normalizer': '1.a1', 'old_label': '40.a1', 'projective_image': '80.43', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461562
{'ambient': '960.4014', 'aut_centralizer_order': 2560, 'aut_label': '40.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 2560, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '20.a1', '20.c1', '20.d1', '20.f1'], 'contains': ['80.a1', '80.c1', '120.b1'], 'core': '40.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6970, 5492, 5897, 6572], 'generators': [4, 480, 640, 8], 'label': '960.4014.40.b1', 'mobius_quo': 0, 'mobius_sub': 40, 'normal_closure': '40.b1', 'normal_contained_in': ['8.b1', '20.a1', '20.c1', '20.d1'], 'normal_contains': ['80.a1', '80.c1', '120.b1'], 'normalizer': '1.a1', 'old_label': '40.b1', 'projective_image': '40.13', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.13', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461563
{'ambient': '960.4014', 'aut_centralizer_order': 160, 'aut_label': '4.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '256.27015', 'aut_weyl_index': 160, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.a1', '8.b1', '8.d1', '8.f1', '12.a1', '20.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6203, 7435, 5592, 6727], 'generators': [1, 8, 480, 640, 4, 192], 'label': '960.4014.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.a1', '8.b1', '8.d1', '8.f1', '12.a1', '20.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '40.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461564
{'ambient': '960.4014', 'aut_centralizer_order': 2560, 'aut_label': '40.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 5120, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '20.b1', '20.c1', '20.e1'], 'contains': ['80.a1', '80.e1', '120.c1'], 'core': '40.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [2003, 479, 1562, 954], 'generators': [8, 240, 640, 480], 'label': '960.4014.40.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.c1', 'normal_contained_in': ['8.c1', '20.b1', '20.c1', '20.e1'], 'normal_contains': ['80.a1', '80.e1', '120.c1'], 'normalizer': '1.a1', 'old_label': '40.c1', 'projective_image': '40.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.7', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461565
{'ambient': '960.4014', 'aut_centralizer_order': 2560, 'aut_label': '40.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 2560, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1', '20.a1', '20.e1'], 'contains': ['80.a1', '80.d1', '120.d1'], 'core': '40.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [4555, 6173, 5208, 4584], 'generators': [5, 480, 640, 8], 'label': '960.4014.40.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.d1', 'normal_contained_in': ['8.d1', '20.a1', '20.e1'], 'normal_contains': ['80.a1', '80.d1', '120.d1'], 'normalizer': '1.a1', 'old_label': '40.d1', 'projective_image': '80.43', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461566
{'ambient': '960.4014', 'aut_centralizer_order': 2560, 'aut_label': '40.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 5120, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.e1', '20.b1', '20.d1', '20.e1'], 'contains': ['80.a1', '80.g1', '120.e1'], 'core': '40.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [2563, 1544, 2583, 2171], 'generators': [241, 8, 640, 480], 'label': '960.4014.40.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.e1', 'normal_contained_in': ['8.e1', '20.b1', '20.d1', '20.e1'], 'normal_contains': ['80.a1', '120.e1'], 'normalizer': '1.a1', 'old_label': '40.e1', 'projective_image': '80.43', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461567
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '40.f1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 5120, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.f1', '20.a1', '20.g1'], 'contains': ['80.b1', '80.c1', '80.d1', '120.f1'], 'core': '40.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [8238, 7367, 7292, 8759], 'generators': [1, 4, 640, 8], 'label': '960.4014.40.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.f1', 'normal_contained_in': ['8.f1', '20.a1'], 'normal_contains': ['80.b1', '80.c1', '80.d1', '120.f1'], 'normalizer': '1.a1', 'old_label': '40.f1', 'projective_image': '80.36', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461568
{'ambient': '960.4014', 'aut_centralizer_order': 128, 'aut_label': '40.g1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '8.5', 'aut_weyl_index': 5120, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.g1', '20.f1', '20.g1'], 'contains': ['80.c1', '120.g1'], 'core': '80.c1', 'coset_action_label': None, 'count': 40, 'diagramx': [9676, -1, 8190, -1], 'generators': [3, 640, 12, 8], 'label': '960.4014.40.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '40.g1', 'projective_image': '80.36', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461569
{'ambient': '960.4014', 'aut_centralizer_order': 640, 'aut_label': '40.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '8.5', 'aut_weyl_index': 5120, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.h1', '20.b1'], 'contains': ['80.e1', '80.f1', '80.g1', '120.h1'], 'core': '80.e1', 'coset_action_label': None, 'count': 8, 'diagramx': [735, -1, 340, -1], 'generators': [1, 240, 640, 480], 'label': '960.4014.40.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '40.h1', 'projective_image': '80.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461570
{'ambient': '960.4014', 'aut_centralizer_order': 5120, 'aut_label': '48.a1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 5120, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '24.a1', '24.b1', '24.c1', '24.d1', '24.e1'], 'contains': ['96.a1', '96.b1', '240.a1'], 'core': '48.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3094, 3551, 3777, 5084], 'generators': [8, 192, 480], 'label': '960.4014.48.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1', '24.b1', '24.c1', '24.d1', '24.e1'], 'normal_contains': ['96.a1', '96.b1', '240.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '240.163', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.15', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461571
{'ambient': '960.4014', 'aut_centralizer_order': 2560, 'aut_label': '48.b1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 5120, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '24.a1', '24.f1'], 'contains': ['96.a1', '96.c1', '240.b1'], 'core': '48.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [6000, 7967, 4770, 8051], 'generators': [1, 192, 8], 'label': '960.4014.48.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': ['16.b1', '24.a1', '24.f1'], 'normal_contains': ['96.a1', '240.b1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': '480.715', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461572
{'ambient': '960.4014', 'aut_centralizer_order': 2560, 'aut_label': '48.c1', 'aut_quo_index': 12, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 5120, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '24.b1', '24.f1', '24.g1'], 'contains': ['96.a1', '240.c1'], 'core': '48.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [8850, 9289, 7025, 9113], 'generators': [4, 8, 192], 'label': '960.4014.48.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': ['16.c1', '24.b1', '24.f1', '24.g1'], 'normal_contains': ['96.a1', '240.c1'], 'normalizer': '1.a1', 'old_label': '48.c1', 'projective_image': '240.156', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461573
{'ambient': '960.4014', 'aut_centralizer_order': 2560, 'aut_label': '48.d1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 5120, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.d1', '24.d1', '24.f1'], 'contains': ['96.a1', '240.d1'], 'core': '48.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [6886, 8776, 6319, 7676], 'generators': [5, 8, 192], 'label': '960.4014.48.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.d1', 'normal_contained_in': ['16.d1', '24.d1', '24.f1'], 'normal_contains': ['96.a1', '240.d1'], 'normalizer': '1.a1', 'old_label': '48.d1', 'projective_image': '480.715', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461574
{'ambient': '960.4014', 'aut_centralizer_order': 160, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '128.2319', 'aut_weyl_index': 320, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.c1', '8.e1', '8.h1', '12.b1', '20.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1719, 2124, 1972, 2739], 'generators': [1, 480, 240, 640, 8, 192], 'label': '960.4014.4.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '8.c1', '8.e1', '12.b1', '20.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '40.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461575
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '48.e1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 5120, 'centralizer': '2.a1', 'complements': ['20.g1'], 'conjugacy_class_count': 4, 'contained_in': ['16.e1', '24.c1', '24.h1'], 'contains': ['96.b1', '240.e1'], 'core': '48.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [82, 1160, 983, 1457], 'generators': [720, 480, 192], 'label': '960.4014.48.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.e1', 'normal_contained_in': ['16.e1', '24.c1'], 'normal_contains': ['96.b1', '240.e1'], 'normalizer': '1.a1', 'old_label': '48.e1', 'projective_image': '240.39', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461576
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 5120, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.f1', '24.a1', '24.h1'], 'contains': ['96.b1', '96.c1', '240.f1'], 'core': '96.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1383, -1, 2382, -1], 'generators': [1, 192, 480], 'label': '960.4014.48.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '48.f1', 'projective_image': '480.714', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461577
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 5120, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.g1', '24.e1', '24.h1'], 'contains': ['96.b1', '240.g1'], 'core': '96.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [287, -1, 1642, -1], 'generators': [721, 480, 192], 'label': '960.4014.48.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '48.g1', 'projective_image': '480.714', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461578
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '60.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.27', 'aut_weyl_index': 1280, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '20.a1', '30.a1', '30.b1'], 'contains': ['120.a1', '120.b1', '120.d1', '120.f1'], 'core': '60.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7262, 6143, 6579, 7048], 'generators': [1, 4, 480], 'label': '960.4014.60.a1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '60.a1', 'normal_contained_in': ['12.a1', '20.a1', '30.a1'], 'normal_contains': ['120.a1', '120.b1', '120.d1', '120.f1'], 'normalizer': '1.a1', 'old_label': '60.a1', 'projective_image': '120.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '60.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461579
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '60.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 2560, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '20.b1', '30.a1'], 'contains': ['120.a1', '120.c1', '120.e1', '120.h1'], 'core': '60.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1949, 2111, 2245, 2647], 'generators': [1, 8, 720], 'label': '960.4014.60.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '60.b1', 'normal_contained_in': ['12.b1', '20.b1', '30.a1'], 'normal_contains': ['120.a1', '120.c1', '120.e1'], 'normalizer': '1.a1', 'old_label': '60.b1', 'projective_image': '120.19', 'quotient_action_image': '2.1', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '60.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461580
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '60.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.27', 'aut_weyl_index': 1280, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '20.c1', '30.a1', '30.c1'], 'contains': ['120.b1', '120.c1'], 'core': '60.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5100, 4329, 4774, 3489], 'generators': [4, 720], 'label': '960.4014.60.c1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '60.c1', 'normal_contained_in': ['12.c1', '20.c1', '30.a1'], 'normal_contains': ['120.b1', '120.c1'], 'normalizer': '1.a1', 'old_label': '60.c1', 'projective_image': '60.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '60.10', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '60.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461581
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '60.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.27', 'aut_weyl_index': 1280, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '20.d1', '30.a1', '30.d1'], 'contains': ['120.b1', '120.e1'], 'core': '60.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [5420, 3891, 4948, 3733], 'generators': [721, 4], 'label': '960.4014.60.d1', 'mobius_quo': 0, 'mobius_sub': 10, 'normal_closure': '60.d1', 'normal_contained_in': ['12.d1', '20.d1', '30.a1'], 'normal_contains': ['120.b1', '120.e1'], 'normalizer': '1.a1', 'old_label': '60.d1', 'projective_image': '120.44', 'quotient_action_image': '2.1', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '60.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461582
{'ambient': '960.4014', 'aut_centralizer_order': 1280, 'aut_label': '60.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 2560, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['12.f1', '20.e1', '30.a1'], 'contains': ['120.c1', '120.d1', '120.e1'], 'core': '60.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [2729, 2900, 3187, 1805], 'generators': [5, 720], 'label': '960.4014.60.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '60.e1', 'normal_contained_in': ['12.f1', '20.e1', '30.a1'], 'normal_contains': ['120.c1', '120.d1', '120.e1'], 'normalizer': '1.a1', 'old_label': '60.e1', 'projective_image': '120.19', 'quotient_action_image': '2.1', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '60.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461583
{'ambient': '960.4014', 'aut_centralizer_order': 128, 'aut_label': '60.f1', 'aut_quo_index': None, 'aut_stab_index': 20, 'aut_weyl_group': '16.11', 'aut_weyl_index': 2560, 'centralizer': '10.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.e1', '20.f1', '30.b1', '30.c1', '30.d1'], 'contains': ['120.b1', '120.g1'], 'core': '120.b1', 'coset_action_label': None, 'count': 20, 'diagramx': [7889, -1, 7953, -1], 'generators': [3, 480], 'label': '960.4014.60.f1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '60.f1', 'projective_image': '120.44', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461584
{'ambient': '960.4014', 'aut_centralizer_order': 64, 'aut_label': '60.g1', 'aut_quo_index': None, 'aut_stab_index': 40, 'aut_weyl_group': '16.11', 'aut_weyl_index': 2560, 'centralizer': '20.c1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.g1', '20.g1', '30.b1'], 'contains': ['120.f1', '120.g1'], 'core': '120.f1', 'coset_action_label': None, 'count': 40, 'diagramx': [9433, -1, 8712, -1], 'generators': [1, 146], 'label': '960.4014.60.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5.a1', 'old_label': '60.g1', 'projective_image': '240.156', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.g1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 113461585
{'ambient': '960.4014', 'aut_centralizer_order': 160, 'aut_label': '4.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '256.27015', 'aut_weyl_index': 160, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.c1'], 'contains': ['8.b1', '8.c1', '12.c1', '20.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4739, 6183, 3838, 4096], 'generators': [4, 480, 640, 192, 240, 8], 'label': '960.4014.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1', '2.c1'], 'normal_contains': ['8.b1', '8.c1', '12.c1', '20.c1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '20.4', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461586
{'ambient': '960.4014', 'aut_centralizer_order': 5120, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 5120, 'centralizer': '2.a1', 'complements': ['15.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.b1', '32.c1'], 'contains': ['192.a1', '320.a1'], 'core': '64.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3654, 4447, 2521, 5920], 'generators': [640, 192], 'label': '960.4014.64.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1'], 'normal_contains': ['192.a1', '320.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': '320.549', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.21', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461587
{'ambient': '960.4014', 'aut_centralizer_order': 10240, 'aut_label': '80.a1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10240, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '40.a1', '40.b1', '40.c1', '40.d1', '40.e1'], 'contains': ['160.a1', '160.b1', '240.a1'], 'core': '80.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3178, 3911, 3460, 4584], 'generators': [8, 480, 640], 'label': '960.4014.80.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.a1', 'normal_contained_in': ['16.a1', '40.a1', '40.b1', '40.c1', '40.d1', '40.e1'], 'normal_contains': ['160.a1', '160.b1', '240.a1'], 'normalizer': '1.a1', 'old_label': '80.a1', 'projective_image': '80.43', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.43', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461588
{'ambient': '960.4014', 'aut_centralizer_order': 5120, 'aut_label': '80.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10240, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '40.a1', '40.f1'], 'contains': ['160.a1', '160.c1', '240.b1'], 'core': '80.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5550, 6602, 4453, 7343], 'generators': [1, 8, 640], 'label': '960.4014.80.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.b1', 'normal_contained_in': ['16.b1', '40.a1', '40.f1'], 'normal_contains': ['160.a1', '240.b1'], 'normalizer': '1.a1', 'old_label': '80.b1', 'projective_image': '160.143', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461589
{'ambient': '960.4014', 'aut_centralizer_order': 5120, 'aut_label': '80.c1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10240, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '40.b1', '40.f1', '40.g1'], 'contains': ['160.a1', '240.c1'], 'core': '80.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [8516, 7403, 6839, 8426], 'generators': [4, 640, 8], 'label': '960.4014.80.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.c1', 'normal_contained_in': ['16.c1', '40.b1', '40.f1'], 'normal_contains': ['160.a1', '240.c1'], 'normalizer': '1.a1', 'old_label': '80.c1', 'projective_image': '80.36', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.36', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461590
{'ambient': '960.4014', 'aut_centralizer_order': 5120, 'aut_label': '80.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10240, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.d1', '40.d1', '40.f1'], 'contains': ['160.a1', '240.d1'], 'core': '80.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [6625, 7108, 6133, 6747], 'generators': [5, 640, 8], 'label': '960.4014.80.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.d1', 'normal_contained_in': ['16.d1', '40.d1', '40.f1'], 'normal_contains': ['160.a1', '240.d1'], 'normalizer': '1.a1', 'old_label': '80.d1', 'projective_image': '160.143', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461591
{'ambient': '960.4014', 'aut_centralizer_order': 2560, 'aut_label': '80.e1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10240, 'centralizer': '1.a1', 'complements': ['12.g1'], 'conjugacy_class_count': 4, 'contained_in': ['16.e1', '40.c1', '40.h1'], 'contains': ['160.b1', '240.e1'], 'core': '80.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [385, 522, 797, 1067], 'generators': [240, 640, 480], 'label': '960.4014.80.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.e1', 'normal_contained_in': ['16.e1', '40.c1'], 'normal_contains': ['160.b1', '240.e1'], 'normalizer': '1.a1', 'old_label': '80.e1', 'projective_image': '80.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.10', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461592
{'ambient': '960.4014', 'aut_centralizer_order': 2560, 'aut_label': '80.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10240, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.f1', '40.a1', '40.h1'], 'contains': ['160.b1', '160.c1', '240.f1'], 'core': '160.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1590, -1, 2065, -1], 'generators': [1, 480, 640], 'label': '960.4014.80.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '80.f1', 'projective_image': '160.142', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461593
{'ambient': '960.4014', 'aut_centralizer_order': 2560, 'aut_label': '80.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 10240, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.g1', '40.e1', '40.h1'], 'contains': ['160.b1', '240.g1'], 'core': '160.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [590, -1, 1456, -1], 'generators': [241, 640, 480], 'label': '960.4014.80.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '80.g1', 'projective_image': '160.142', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113461594
{'ambient': '960.4014', 'aut_centralizer_order': 10240, 'aut_label': '96.a1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 10240, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '48.a1', '48.b1', '48.c1', '48.d1'], 'contains': ['192.a1', '480.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6287, 8462, 4385, 7200], 'generators': [8, 192], 'label': '960.4014.96.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.a1', '48.b1', '48.c1', '48.d1'], 'normal_contains': ['192.a1', '480.a1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': '480.715', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.44', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113461595
{'ambient': '960.4014', 'aut_centralizer_order': 5120, 'aut_label': '96.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '4.1', 'aut_weyl_index': 10240, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '48.a1', '48.e1', '48.f1', '48.g1'], 'contains': ['192.a1', '480.b1'], 'core': '96.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1210, 1436, 2162, 4825], 'generators': [480, 192], 'label': '960.4014.96.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.b1', 'normal_contained_in': ['32.b1', '48.a1', '48.e1'], 'normal_contains': ['192.a1', '480.b1'], 'normalizer': '1.a1', 'old_label': '96.b1', 'projective_image': '480.714', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.44', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}