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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '160.175', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 24, 'aut_gen_orders': [4, 12, 12, 8, 4, 12, 4], 'aut_gens': [[1, 4, 16], [13, 486, 498], [801, 494, 690], [565, 4, 688], [411, 486, 284], [93, 4, 862], [643, 492, 788], [9, 12, 284]], 'aut_group': None, 'aut_hash': 1293730508782809826, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 98304, 'aut_permdeg': 100, 'aut_perms': [29874395310491866961159451702613520031191576762814589770392399198521558080172215249683096262491873693897077478003430786359412585333235310631350934246235690233, 52323187687197239179710539175762868010892370568874798753443452080872839004053828135524209218064803005537733780027940214605050406998261337881297147508682651726, 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1], [6, 2, 2, 1], [6, 2, 4, 1], [10, 1, 4, 1], [10, 1, 8, 1], [10, 1, 16, 1], [12, 2, 8, 1], [12, 2, 16, 1], [15, 2, 4, 1], [20, 1, 32, 1], [20, 2, 32, 1], [20, 6, 64, 1], [30, 2, 4, 1], [30, 2, 8, 1], [30, 2, 16, 1], [60, 2, 32, 1], [60, 2, 64, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_3:(C_2^7.C_2^2.C_2^6)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': None, 'autcent_hash': 5332425634554112204, 'autcent_nilpotent': True, 'autcent_order': 8192, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_4\\times C_2^6.C_2^5', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '12.4', 'autcentquo_hash': 4, 'autcentquo_nilpotent': False, 'autcentquo_order': 12, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'D_6', 'cc_stats': [[1, 1, 1], [2, 1, 7], [3, 2, 1], [4, 1, 8], [4, 2, 8], [4, 6, 16], [5, 1, 4], [6, 2, 7], [10, 1, 28], [12, 2, 24], [15, 2, 4], [20, 1, 32], [20, 2, 32], [20, 6, 64], [30, 2, 28], [60, 2, 96]], 'center_label': '80.45', 'center_order': 80, 'central_product': True, 'central_quotient': '12.4', 'commutator_count': 1, 'commutator_label': '6.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 4626, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['192.491', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [3, 2, 1, 1], [4, 1, 2, 4], [4, 2, 2, 4], [4, 6, 2, 8], [5, 1, 4, 1], [6, 2, 1, 7], [10, 1, 4, 7], [12, 2, 2, 4], [12, 2, 4, 4], [15, 2, 4, 1], [20, 1, 8, 4], [20, 2, 8, 4], [20, 6, 8, 8], [30, 2, 4, 7], [60, 2, 8, 4], [60, 2, 16, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 2604, 'exponent': 60, 'exponents_of_order': [6, 1, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.5', 'frattini_quotient': '120.45', 'hash': 4626, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 1, 6], 'inner_gens': [[1, 4, 664], [1, 4, 16], [329, 4, 16]], 'inner_hash': 4, 'inner_nilpotent': False, 'inner_order': 12, 'inner_split': False, 'inner_tex': 'D_6', 'inner_used': [1, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 160], [2, 200]], 'label': '960.4626', '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.C4^2', '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': 26, 'number_characteristic_subgroups': 26, 'number_conjugacy_classes': 360, 'number_divisions': 80, 'number_normal_subgroups': 206, 'number_subgroup_autclasses': 104, 'number_subgroup_classes': 356, 'number_subgroups': 688, 'old_label': None, 'order': 960, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 7], [3, 2], [4, 120], [5, 4], [6, 14], [10, 28], [12, 48], [15, 8], [20, 480], [30, 56], [60, 192]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 8, 'outer_gen_orders': [4, 8, 4, 4, 4, 4], 'outer_gen_pows': [0, 0, 0, 0, 0, 0], 'outer_gens': [[493, 12, 210], [885, 6, 286], [175, 4, 946], [575, 14, 952], [803, 12, 284], [331, 494, 470]], 'outer_group': None, 'outer_hash': 5874187734863354717, 'outer_nilpotent': True, 'outer_order': 8192, 'outer_permdeg': 512, 'outer_perms': 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'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^6.C_2^4.C_2^3', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 24, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 4, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 20], [4, 16], [8, 24], [16, 8], [32, 4]], 'representations': {'PC': {'code': 13556387935617184356040613898774446087, 'gens': [1, 3, 5], 'pres': [8, -2, -2, -2, -2, 2, -2, -3, -5, 16, 66, 26564, 116, 16901, 141, 39430, 222]}, 'GLZN': {'d': 2, 'p': 88, 'gens': [685345, 49875609, 23158047, 44295745, 6133257, 2154193, 45658691, 29817369]}, 'Perm': {'d': 24, 'gens': [1126561677259950949687, 5109094217266387327, 134352137, 22323869568000, 5109094217349925920, 178981927, 178981920, 26976017466662584320000]}}, 'schur_multiplier': [2, 4, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 4, 20], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{60}.C_4^2', 'transitive_degree': 960, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 143142679
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 4626, 'group_order': 960, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
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id: 143142790
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 4626, 'group_order': 960, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 2, 'size': 1}
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id: 143142901
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 4626, 'group_order': 960, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 490, 'size': 1}
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id: 143142973
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 4626, 'group_order': 960, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 10, 'size': 1}
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id: 143142984
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 4626, 'group_order': 960, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 482, 'size': 1}
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id: 143142995
{'aut_label': '2E', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 4626, 'group_order': 960, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 8, 'size': 1}
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id: 143143006
{'aut_label': '2F', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 4626, 'group_order': 960, 'label': '2F', 'order': 2, 'powers': [1, 7, 7], 'representative': 480, 'size': 1}
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id: 143143017
{'aut_label': '2F', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 4626, 'group_order': 960, 'label': '2G', 'order': 2, 'powers': [1, 8, 8], 'representative': 488, 'size': 1}
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id: 143143028
{'aut_label': '3A', 'centralizer': '2.a1', 'counter': 9, 'group_counter': 4626, 'group_order': 960, 'label': '3A', 'order': 3, 'powers': [9, 1, 9], 'representative': 640, 'size': 2}
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id: 143142680
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 10, 'group_counter': 4626, 'group_order': 960, 'label': '4A1', 'order': 4, 'powers': [6, 11, 10], 'representative': 12, 'size': 1}
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id: 143142691
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 11, 'group_counter': 4626, 'group_order': 960, 'label': '4A-1', 'order': 4, 'powers': [6, 10, 11], 'representative': 4, 'size': 1}
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id: 143142702
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 12, 'group_counter': 4626, 'group_order': 960, 'label': '4B1', 'order': 4, 'powers': [6, 13, 12], 'representative': 492, 'size': 1}
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id: 143142713
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 4626, 'group_order': 960, 'label': '4B-1', 'order': 4, 'powers': [6, 12, 13], 'representative': 484, 'size': 1}
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id: 143142724
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 4626, 'group_order': 960, 'label': '4C1', 'order': 4, 'powers': [6, 15, 14], 'representative': 14, 'size': 1}
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id: 143142735
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 15, 'group_counter': 4626, 'group_order': 960, 'label': '4C-1', 'order': 4, 'powers': [6, 14, 15], 'representative': 6, 'size': 1}
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id: 143142746
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 16, 'group_counter': 4626, 'group_order': 960, 'label': '4D1', 'order': 4, 'powers': [6, 17, 16], 'representative': 494, 'size': 1}
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id: 143142757
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 17, 'group_counter': 4626, 'group_order': 960, 'label': '4D-1', 'order': 4, 'powers': [6, 16, 17], 'representative': 486, 'size': 1}
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id: 143142768
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 18, 'group_counter': 4626, 'group_order': 960, 'label': '4E1', 'order': 4, 'powers': [7, 19, 18], 'representative': 240, 'size': 2}
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id: 143142779
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 19, 'group_counter': 4626, 'group_order': 960, 'label': '4E-1', 'order': 4, 'powers': [7, 18, 19], 'representative': 720, 'size': 2}
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id: 143142791
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 20, 'group_counter': 4626, 'group_order': 960, 'label': '4F1', 'order': 4, 'powers': [8, 21, 20], 'representative': 252, 'size': 2}
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id: 143142802
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 21, 'group_counter': 4626, 'group_order': 960, 'label': '4F-1', 'order': 4, 'powers': [8, 20, 21], 'representative': 724, 'size': 2}
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id: 143142813
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 22, 'group_counter': 4626, 'group_order': 960, 'label': '4G1', 'order': 4, 'powers': [7, 23, 22], 'representative': 242, 'size': 2}
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id: 143142824
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 23, 'group_counter': 4626, 'group_order': 960, 'label': '4G-1', 'order': 4, 'powers': [7, 22, 23], 'representative': 722, 'size': 2}
-
id: 143142835
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 24, 'group_counter': 4626, 'group_order': 960, 'label': '4H1', 'order': 4, 'powers': [8, 25, 24], 'representative': 254, 'size': 2}
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id: 143142846
{'aut_label': '4E1', 'centralizer': '2.a1', 'counter': 25, 'group_counter': 4626, 'group_order': 960, 'label': '4H-1', 'order': 4, 'powers': [8, 24, 25], 'representative': 726, 'size': 2}
-
id: 143142857
{'aut_label': '4I1', 'centralizer': '6.b1', 'counter': 26, 'group_counter': 4626, 'group_order': 960, 'label': '4I1', 'order': 4, 'powers': [2, 27, 26], 'representative': 1, 'size': 6}
-
id: 143142868
{'aut_label': '4I1', 'centralizer': '6.b1', 'counter': 27, 'group_counter': 4626, 'group_order': 960, 'label': '4I-1', 'order': 4, 'powers': [2, 26, 27], 'representative': 3, 'size': 6}
-
id: 143142879
{'aut_label': '4I1', 'centralizer': '6.b1', 'counter': 28, 'group_counter': 4626, 'group_order': 960, 'label': '4J1', 'order': 4, 'powers': [2, 29, 28], 'representative': 801, 'size': 6}
-
id: 143142890
{'aut_label': '4I1', 'centralizer': '6.b1', 'counter': 29, 'group_counter': 4626, 'group_order': 960, 'label': '4J-1', 'order': 4, 'powers': [2, 28, 29], 'representative': 803, 'size': 6}
-
id: 143142902
{'aut_label': '4I1', 'centralizer': '6.b1', 'counter': 30, 'group_counter': 4626, 'group_order': 960, 'label': '4K1', 'order': 4, 'powers': [3, 31, 30], 'representative': 401, 'size': 6}
-
id: 143142913
{'aut_label': '4I1', 'centralizer': '6.b1', 'counter': 31, 'group_counter': 4626, 'group_order': 960, 'label': '4K-1', 'order': 4, 'powers': [3, 30, 31], 'representative': 891, 'size': 6}
-
id: 143142924
{'aut_label': '4I1', 'centralizer': '6.b1', 'counter': 32, 'group_counter': 4626, 'group_order': 960, 'label': '4L1', 'order': 4, 'powers': [3, 33, 32], 'representative': 241, 'size': 6}
-
id: 143142935
{'aut_label': '4I1', 'centralizer': '6.b1', 'counter': 33, 'group_counter': 4626, 'group_order': 960, 'label': '4L-1', 'order': 4, 'powers': [3, 32, 33], 'representative': 731, 'size': 6}
-
id: 143142946
{'aut_label': '4I1', 'centralizer': '6.b1', 'counter': 34, 'group_counter': 4626, 'group_order': 960, 'label': '4M1', 'order': 4, 'powers': [4, 35, 34], 'representative': 5, 'size': 6}
-
id: 143142957
{'aut_label': '4I1', 'centralizer': '6.b1', 'counter': 35, 'group_counter': 4626, 'group_order': 960, 'label': '4M-1', 'order': 4, 'powers': [4, 34, 35], 'representative': 15, 'size': 6}
-
id: 143142968
{'aut_label': '4I1', 'centralizer': '6.b1', 'counter': 36, 'group_counter': 4626, 'group_order': 960, 'label': '4N1', 'order': 4, 'powers': [4, 37, 36], 'representative': 805, 'size': 6}
-
id: 143142970
{'aut_label': '4I1', 'centralizer': '6.b1', 'counter': 37, 'group_counter': 4626, 'group_order': 960, 'label': '4N-1', 'order': 4, 'powers': [4, 36, 37], 'representative': 815, 'size': 6}
-
id: 143142971
{'aut_label': '4I1', 'centralizer': '6.b1', 'counter': 38, 'group_counter': 4626, 'group_order': 960, 'label': '4O1', 'order': 4, 'powers': [5, 39, 38], 'representative': 405, 'size': 6}
-
id: 143142972
{'aut_label': '4I1', 'centralizer': '6.b1', 'counter': 39, 'group_counter': 4626, 'group_order': 960, 'label': '4O-1', 'order': 4, 'powers': [5, 38, 39], 'representative': 887, 'size': 6}
-
id: 143142974
{'aut_label': '4I1', 'centralizer': '6.b1', 'counter': 40, 'group_counter': 4626, 'group_order': 960, 'label': '4P1', 'order': 4, 'powers': [5, 41, 40], 'representative': 245, 'size': 6}
-
id: 143142975
{'aut_label': '4I1', 'centralizer': '6.b1', 'counter': 41, 'group_counter': 4626, 'group_order': 960, 'label': '4P-1', 'order': 4, 'powers': [5, 40, 41], 'representative': 727, 'size': 6}
-
id: 143142976
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 42, 'group_counter': 4626, 'group_order': 960, 'label': '5A1', 'order': 5, 'powers': [44, 45, 1], 'representative': 768, 'size': 1}
-
id: 143142977
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 43, 'group_counter': 4626, 'group_order': 960, 'label': '5A-1', 'order': 5, 'powers': [45, 44, 1], 'representative': 192, 'size': 1}
-
id: 143142978
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 44, 'group_counter': 4626, 'group_order': 960, 'label': '5A2', 'order': 5, 'powers': [43, 42, 1], 'representative': 576, 'size': 1}
-
id: 143142979
{'aut_label': '5A1', 'centralizer': '1.a1', 'counter': 45, 'group_counter': 4626, 'group_order': 960, 'label': '5A-2', 'order': 5, 'powers': [42, 43, 1], 'representative': 384, 'size': 1}
-
id: 143142980
{'aut_label': '6A', 'centralizer': '2.a1', 'counter': 46, 'group_counter': 4626, 'group_order': 960, 'label': '6A', 'order': 6, 'powers': [9, 2, 46], 'representative': 322, 'size': 2}
-
id: 143142981
{'aut_label': '6A', 'centralizer': '2.a1', 'counter': 47, 'group_counter': 4626, 'group_order': 960, 'label': '6B', 'order': 6, 'powers': [9, 5, 47], 'representative': 162, 'size': 2}
-
id: 143142982
{'aut_label': '6A', 'centralizer': '2.a1', 'counter': 48, 'group_counter': 4626, 'group_order': 960, 'label': '6C', 'order': 6, 'powers': [9, 4, 48], 'representative': 330, 'size': 2}
-
id: 143142983
{'aut_label': '6A', 'centralizer': '2.a1', 'counter': 49, 'group_counter': 4626, 'group_order': 960, 'label': '6D', 'order': 6, 'powers': [9, 3, 49], 'representative': 170, 'size': 2}
-
id: 143142985
{'aut_label': '6E', 'centralizer': '2.a1', 'counter': 50, 'group_counter': 4626, 'group_order': 960, 'label': '6E', 'order': 6, 'powers': [9, 6, 50], 'representative': 648, 'size': 2}
-
id: 143142986
{'aut_label': '6F', 'centralizer': '2.a1', 'counter': 51, 'group_counter': 4626, 'group_order': 960, 'label': '6F', 'order': 6, 'powers': [9, 7, 51], 'representative': 160, 'size': 2}
-
id: 143142987
{'aut_label': '6F', 'centralizer': '2.a1', 'counter': 52, 'group_counter': 4626, 'group_order': 960, 'label': '6G', 'order': 6, 'powers': [9, 8, 52], 'representative': 168, 'size': 2}
-
id: 143142988
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 53, 'group_counter': 4626, 'group_order': 960, 'label': '10A1', 'order': 10, 'powers': [42, 55, 2], 'representative': 386, 'size': 1}
-
id: 143142989
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 54, 'group_counter': 4626, 'group_order': 960, 'label': '10A-1', 'order': 10, 'powers': [43, 56, 2], 'representative': 578, 'size': 1}
-
id: 143142990
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 55, 'group_counter': 4626, 'group_order': 960, 'label': '10A3', 'order': 10, 'powers': [45, 54, 2], 'representative': 194, 'size': 1}
-
id: 143142991
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 56, 'group_counter': 4626, 'group_order': 960, 'label': '10A-3', 'order': 10, 'powers': [44, 53, 2], 'representative': 770, 'size': 1}
-
id: 143142992
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 57, 'group_counter': 4626, 'group_order': 960, 'label': '10B1', 'order': 10, 'powers': [45, 59, 3], 'representative': 682, 'size': 1}
-
id: 143142993
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 58, 'group_counter': 4626, 'group_order': 960, 'label': '10B-1', 'order': 10, 'powers': [44, 60, 3], 'representative': 298, 'size': 1}
-
id: 143142994
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 59, 'group_counter': 4626, 'group_order': 960, 'label': '10B3', 'order': 10, 'powers': [43, 58, 3], 'representative': 106, 'size': 1}
-
id: 143142996
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 60, 'group_counter': 4626, 'group_order': 960, 'label': '10B-3', 'order': 10, 'powers': [42, 57, 3], 'representative': 874, 'size': 1}
-
id: 143142997
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 61, 'group_counter': 4626, 'group_order': 960, 'label': '10C1', 'order': 10, 'powers': [42, 63, 4], 'representative': 394, 'size': 1}
-
id: 143142998
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 62, 'group_counter': 4626, 'group_order': 960, 'label': '10C-1', 'order': 10, 'powers': [43, 64, 4], 'representative': 586, 'size': 1}
-
id: 143142999
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 63, 'group_counter': 4626, 'group_order': 960, 'label': '10C3', 'order': 10, 'powers': [45, 62, 4], 'representative': 202, 'size': 1}
-
id: 143143000
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 64, 'group_counter': 4626, 'group_order': 960, 'label': '10C-3', 'order': 10, 'powers': [44, 61, 4], 'representative': 778, 'size': 1}
-
id: 143143001
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 65, 'group_counter': 4626, 'group_order': 960, 'label': '10D1', 'order': 10, 'powers': [45, 67, 5], 'representative': 674, 'size': 1}
-
id: 143143002
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 66, 'group_counter': 4626, 'group_order': 960, 'label': '10D-1', 'order': 10, 'powers': [44, 68, 5], 'representative': 290, 'size': 1}
-
id: 143143003
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 67, 'group_counter': 4626, 'group_order': 960, 'label': '10D3', 'order': 10, 'powers': [43, 66, 5], 'representative': 98, 'size': 1}
-
id: 143143004
{'aut_label': '10A1', 'centralizer': '1.a1', 'counter': 68, 'group_counter': 4626, 'group_order': 960, 'label': '10D-3', 'order': 10, 'powers': [42, 65, 5], 'representative': 866, 'size': 1}
-
id: 143143005
{'aut_label': '10E1', 'centralizer': '1.a1', 'counter': 69, 'group_counter': 4626, 'group_order': 960, 'label': '10E1', 'order': 10, 'powers': [42, 71, 6], 'representative': 392, 'size': 1}
-
id: 143143007
{'aut_label': '10E1', 'centralizer': '1.a1', 'counter': 70, 'group_counter': 4626, 'group_order': 960, 'label': '10E-1', 'order': 10, 'powers': [43, 72, 6], 'representative': 584, 'size': 1}
-
id: 143143008
{'aut_label': '10E1', 'centralizer': '1.a1', 'counter': 71, 'group_counter': 4626, 'group_order': 960, 'label': '10E3', 'order': 10, 'powers': [45, 70, 6], 'representative': 200, 'size': 1}
-
id: 143143009
{'aut_label': '10E1', 'centralizer': '1.a1', 'counter': 72, 'group_counter': 4626, 'group_order': 960, 'label': '10E-3', 'order': 10, 'powers': [44, 69, 6], 'representative': 776, 'size': 1}
-
id: 143143010
{'aut_label': '10F1', 'centralizer': '1.a1', 'counter': 73, 'group_counter': 4626, 'group_order': 960, 'label': '10F1', 'order': 10, 'powers': [43, 75, 7], 'representative': 96, 'size': 1}
-
id: 143143011
{'aut_label': '10F1', 'centralizer': '1.a1', 'counter': 74, 'group_counter': 4626, 'group_order': 960, 'label': '10F-1', 'order': 10, 'powers': [42, 76, 7], 'representative': 864, 'size': 1}
-
id: 143143012
{'aut_label': '10F1', 'centralizer': '1.a1', 'counter': 75, 'group_counter': 4626, 'group_order': 960, 'label': '10F3', 'order': 10, 'powers': [44, 74, 7], 'representative': 288, 'size': 1}
-
id: 143143013
{'aut_label': '10F1', 'centralizer': '1.a1', 'counter': 76, 'group_counter': 4626, 'group_order': 960, 'label': '10F-3', 'order': 10, 'powers': [45, 73, 7], 'representative': 672, 'size': 1}
-
id: 143143014
{'aut_label': '10F1', 'centralizer': '1.a1', 'counter': 77, 'group_counter': 4626, 'group_order': 960, 'label': '10G1', 'order': 10, 'powers': [43, 79, 8], 'representative': 104, 'size': 1}
-
id: 143143015
{'aut_label': '10F1', 'centralizer': '1.a1', 'counter': 78, 'group_counter': 4626, 'group_order': 960, 'label': '10G-1', 'order': 10, 'powers': [42, 80, 8], 'representative': 872, 'size': 1}
-
id: 143143016
{'aut_label': '10F1', 'centralizer': '1.a1', 'counter': 79, 'group_counter': 4626, 'group_order': 960, 'label': '10G3', 'order': 10, 'powers': [44, 78, 8], 'representative': 296, 'size': 1}
-
id: 143143018
{'aut_label': '10F1', 'centralizer': '1.a1', 'counter': 80, 'group_counter': 4626, 'group_order': 960, 'label': '10G-3', 'order': 10, 'powers': [45, 77, 8], 'representative': 680, 'size': 1}
-
id: 143143019
{'aut_label': '12A1', 'centralizer': '2.a1', 'counter': 81, 'group_counter': 4626, 'group_order': 960, 'label': '12A1', 'order': 12, 'powers': [50, 10, 81], 'representative': 324, 'size': 2}
-
id: 143143020
{'aut_label': '12A1', 'centralizer': '2.a1', 'counter': 82, 'group_counter': 4626, 'group_order': 960, 'label': '12A-1', 'order': 12, 'powers': [50, 11, 82], 'representative': 652, 'size': 2}
-
id: 143143021
{'aut_label': '12A1', 'centralizer': '2.a1', 'counter': 83, 'group_counter': 4626, 'group_order': 960, 'label': '12B1', 'order': 12, 'powers': [50, 12, 83], 'representative': 164, 'size': 2}
-
id: 143143022
{'aut_label': '12A1', 'centralizer': '2.a1', 'counter': 84, 'group_counter': 4626, 'group_order': 960, 'label': '12B-1', 'order': 12, 'powers': [50, 13, 84], 'representative': 812, 'size': 2}
-
id: 143143023
{'aut_label': '12A1', 'centralizer': '2.a1', 'counter': 85, 'group_counter': 4626, 'group_order': 960, 'label': '12C1', 'order': 12, 'powers': [50, 14, 85], 'representative': 326, 'size': 2}
-
id: 143143024
{'aut_label': '12A1', 'centralizer': '2.a1', 'counter': 86, 'group_counter': 4626, 'group_order': 960, 'label': '12C-1', 'order': 12, 'powers': [50, 15, 86], 'representative': 654, 'size': 2}
-
id: 143143025
{'aut_label': '12A1', 'centralizer': '2.a1', 'counter': 87, 'group_counter': 4626, 'group_order': 960, 'label': '12D1', 'order': 12, 'powers': [50, 16, 87], 'representative': 166, 'size': 2}
-
id: 143143026
{'aut_label': '12A1', 'centralizer': '2.a1', 'counter': 88, 'group_counter': 4626, 'group_order': 960, 'label': '12D-1', 'order': 12, 'powers': [50, 17, 88], 'representative': 814, 'size': 2}
-
id: 143143027
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 89, 'group_counter': 4626, 'group_order': 960, 'label': '12E1', 'order': 12, 'powers': [51, 18, 91], 'representative': 80, 'size': 2}
-
id: 143143029
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 90, 'group_counter': 4626, 'group_order': 960, 'label': '12E-1', 'order': 12, 'powers': [51, 19, 92], 'representative': 880, 'size': 2}
-
id: 143143030
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 91, 'group_counter': 4626, 'group_order': 960, 'label': '12E5', 'order': 12, 'powers': [51, 18, 89], 'representative': 400, 'size': 2}
-
id: 143143031
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 92, 'group_counter': 4626, 'group_order': 960, 'label': '12E-5', 'order': 12, 'powers': [51, 19, 90], 'representative': 560, 'size': 2}
-
id: 143143032
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 93, 'group_counter': 4626, 'group_order': 960, 'label': '12F1', 'order': 12, 'powers': [52, 20, 95], 'representative': 84, 'size': 2}
-
id: 143143033
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 94, 'group_counter': 4626, 'group_order': 960, 'label': '12F-1', 'order': 12, 'powers': [52, 21, 96], 'representative': 892, 'size': 2}
-
id: 143143034
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 95, 'group_counter': 4626, 'group_order': 960, 'label': '12F5', 'order': 12, 'powers': [52, 20, 93], 'representative': 404, 'size': 2}
-
id: 143143035
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 96, 'group_counter': 4626, 'group_order': 960, 'label': '12F-5', 'order': 12, 'powers': [52, 21, 94], 'representative': 572, 'size': 2}
-
id: 143143036
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 97, 'group_counter': 4626, 'group_order': 960, 'label': '12G1', 'order': 12, 'powers': [51, 22, 99], 'representative': 82, 'size': 2}
-
id: 143143037
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 98, 'group_counter': 4626, 'group_order': 960, 'label': '12G-1', 'order': 12, 'powers': [51, 23, 100], 'representative': 882, 'size': 2}
-
id: 143143038
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 99, 'group_counter': 4626, 'group_order': 960, 'label': '12G5', 'order': 12, 'powers': [51, 22, 97], 'representative': 402, 'size': 2}
-
id: 143142681
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 100, 'group_counter': 4626, 'group_order': 960, 'label': '12G-5', 'order': 12, 'powers': [51, 23, 98], 'representative': 562, 'size': 2}
-
id: 143142682
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 101, 'group_counter': 4626, 'group_order': 960, 'label': '12H1', 'order': 12, 'powers': [52, 24, 103], 'representative': 86, 'size': 2}
-
id: 143142683
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 102, 'group_counter': 4626, 'group_order': 960, 'label': '12H-1', 'order': 12, 'powers': [52, 25, 104], 'representative': 894, 'size': 2}
-
id: 143142684
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 103, 'group_counter': 4626, 'group_order': 960, 'label': '12H5', 'order': 12, 'powers': [52, 24, 101], 'representative': 406, 'size': 2}
-
id: 143142685
{'aut_label': '12E1', 'centralizer': '2.a1', 'counter': 104, 'group_counter': 4626, 'group_order': 960, 'label': '12H-5', 'order': 12, 'powers': [52, 25, 102], 'representative': 574, 'size': 2}
-
id: 143142686
{'aut_label': '15A1', 'centralizer': '2.a1', 'counter': 105, 'group_counter': 4626, 'group_order': 960, 'label': '15A1', 'order': 15, 'powers': [107, 45, 9], 'representative': 128, 'size': 2}
-
id: 143142687
{'aut_label': '15A1', 'centralizer': '2.a1', 'counter': 106, 'group_counter': 4626, 'group_order': 960, 'label': '15A-1', 'order': 15, 'powers': [108, 44, 9], 'representative': 832, 'size': 2}
-
id: 143142688
{'aut_label': '15A1', 'centralizer': '2.a1', 'counter': 107, 'group_counter': 4626, 'group_order': 960, 'label': '15A2', 'order': 15, 'powers': [106, 42, 9], 'representative': 256, 'size': 2}
-
id: 143142689
{'aut_label': '15A1', 'centralizer': '2.a1', 'counter': 108, 'group_counter': 4626, 'group_order': 960, 'label': '15A-2', 'order': 15, 'powers': [105, 43, 9], 'representative': 704, 'size': 2}
-
id: 143142690
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 109, 'group_counter': 4626, 'group_order': 960, 'label': '20A1', 'order': 20, 'powers': [69, 111, 10], 'representative': 204, 'size': 1}
-
id: 143142692
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 110, 'group_counter': 4626, 'group_order': 960, 'label': '20A-1', 'order': 20, 'powers': [70, 112, 11], 'representative': 772, 'size': 1}
-
id: 143142693
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 111, 'group_counter': 4626, 'group_order': 960, 'label': '20A3', 'order': 20, 'powers': [71, 115, 11], 'representative': 580, 'size': 1}
-
id: 143142694
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 112, 'group_counter': 4626, 'group_order': 960, 'label': '20A-3', 'order': 20, 'powers': [72, 116, 10], 'representative': 396, 'size': 1}
-
id: 143142695
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 113, 'group_counter': 4626, 'group_order': 960, 'label': '20A7', 'order': 20, 'powers': [72, 109, 11], 'representative': 388, 'size': 1}
-
id: 143142696
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 114, 'group_counter': 4626, 'group_order': 960, 'label': '20A-7', 'order': 20, 'powers': [71, 110, 10], 'representative': 588, 'size': 1}
-
id: 143142697
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 115, 'group_counter': 4626, 'group_order': 960, 'label': '20A9', 'order': 20, 'powers': [70, 113, 10], 'representative': 780, 'size': 1}
-
id: 143142698
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 116, 'group_counter': 4626, 'group_order': 960, 'label': '20A-9', 'order': 20, 'powers': [69, 114, 11], 'representative': 196, 'size': 1}
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id: 143142699
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 117, 'group_counter': 4626, 'group_order': 960, 'label': '20B1', 'order': 20, 'powers': [71, 119, 12], 'representative': 108, 'size': 1}
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id: 143142700
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 118, 'group_counter': 4626, 'group_order': 960, 'label': '20B-1', 'order': 20, 'powers': [72, 120, 13], 'representative': 868, 'size': 1}
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id: 143142701
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 119, 'group_counter': 4626, 'group_order': 960, 'label': '20B3', 'order': 20, 'powers': [70, 123, 13], 'representative': 292, 'size': 1}
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id: 143142703
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 120, 'group_counter': 4626, 'group_order': 960, 'label': '20B-3', 'order': 20, 'powers': [69, 124, 12], 'representative': 684, 'size': 1}
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id: 143142704
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 121, 'group_counter': 4626, 'group_order': 960, 'label': '20B7', 'order': 20, 'powers': [69, 117, 13], 'representative': 676, 'size': 1}
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id: 143142705
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 122, 'group_counter': 4626, 'group_order': 960, 'label': '20B-7', 'order': 20, 'powers': [70, 118, 12], 'representative': 300, 'size': 1}
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id: 143142706
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 123, 'group_counter': 4626, 'group_order': 960, 'label': '20B9', 'order': 20, 'powers': [72, 121, 12], 'representative': 876, 'size': 1}
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id: 143142707
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 124, 'group_counter': 4626, 'group_order': 960, 'label': '20B-9', 'order': 20, 'powers': [71, 122, 13], 'representative': 100, 'size': 1}
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id: 143142708
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 125, 'group_counter': 4626, 'group_order': 960, 'label': '20C1', 'order': 20, 'powers': [69, 127, 14], 'representative': 206, 'size': 1}
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id: 143142709
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 126, 'group_counter': 4626, 'group_order': 960, 'label': '20C-1', 'order': 20, 'powers': [70, 128, 15], 'representative': 774, 'size': 1}
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id: 143142710
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 127, 'group_counter': 4626, 'group_order': 960, 'label': '20C3', 'order': 20, 'powers': [71, 131, 15], 'representative': 582, 'size': 1}
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id: 143142711
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 128, 'group_counter': 4626, 'group_order': 960, 'label': '20C-3', 'order': 20, 'powers': [72, 132, 14], 'representative': 398, 'size': 1}
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id: 143142712
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 129, 'group_counter': 4626, 'group_order': 960, 'label': '20C7', 'order': 20, 'powers': [72, 125, 15], 'representative': 390, 'size': 1}
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id: 143142714
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 130, 'group_counter': 4626, 'group_order': 960, 'label': '20C-7', 'order': 20, 'powers': [71, 126, 14], 'representative': 590, 'size': 1}
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id: 143142715
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 131, 'group_counter': 4626, 'group_order': 960, 'label': '20C9', 'order': 20, 'powers': [70, 129, 14], 'representative': 782, 'size': 1}
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id: 143142716
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 132, 'group_counter': 4626, 'group_order': 960, 'label': '20C-9', 'order': 20, 'powers': [69, 130, 15], 'representative': 198, 'size': 1}
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id: 143142717
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 133, 'group_counter': 4626, 'group_order': 960, 'label': '20D1', 'order': 20, 'powers': [71, 135, 16], 'representative': 110, 'size': 1}
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id: 143142718
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 134, 'group_counter': 4626, 'group_order': 960, 'label': '20D-1', 'order': 20, 'powers': [72, 136, 17], 'representative': 870, 'size': 1}
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id: 143142719
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 135, 'group_counter': 4626, 'group_order': 960, 'label': '20D3', 'order': 20, 'powers': [70, 139, 17], 'representative': 294, 'size': 1}
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id: 143142720
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 136, 'group_counter': 4626, 'group_order': 960, 'label': '20D-3', 'order': 20, 'powers': [69, 140, 16], 'representative': 686, 'size': 1}
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id: 143142721
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 137, 'group_counter': 4626, 'group_order': 960, 'label': '20D7', 'order': 20, 'powers': [69, 133, 17], 'representative': 678, 'size': 1}
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id: 143142722
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 138, 'group_counter': 4626, 'group_order': 960, 'label': '20D-7', 'order': 20, 'powers': [70, 134, 16], 'representative': 302, 'size': 1}
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id: 143142723
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 139, 'group_counter': 4626, 'group_order': 960, 'label': '20D9', 'order': 20, 'powers': [72, 137, 16], 'representative': 878, 'size': 1}
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id: 143142725
{'aut_label': '20A1', 'centralizer': '1.a1', 'counter': 140, 'group_counter': 4626, 'group_order': 960, 'label': '20D-9', 'order': 20, 'powers': [71, 138, 17], 'representative': 102, 'size': 1}
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id: 143142726
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 141, 'group_counter': 4626, 'group_order': 960, 'label': '20E1', 'order': 20, 'powers': [73, 143, 18], 'representative': 48, 'size': 2}
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id: 143142727
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 142, 'group_counter': 4626, 'group_order': 960, 'label': '20E-1', 'order': 20, 'powers': [74, 144, 19], 'representative': 912, 'size': 2}
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id: 143142728
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 143, 'group_counter': 4626, 'group_order': 960, 'label': '20E3', 'order': 20, 'powers': [75, 147, 19], 'representative': 144, 'size': 2}
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id: 143142729
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 144, 'group_counter': 4626, 'group_order': 960, 'label': '20E-3', 'order': 20, 'powers': [76, 148, 18], 'representative': 816, 'size': 2}
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id: 143142730
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 145, 'group_counter': 4626, 'group_order': 960, 'label': '20E7', 'order': 20, 'powers': [76, 141, 19], 'representative': 336, 'size': 2}
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id: 143142731
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 146, 'group_counter': 4626, 'group_order': 960, 'label': '20E-7', 'order': 20, 'powers': [75, 142, 18], 'representative': 624, 'size': 2}
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id: 143142732
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 147, 'group_counter': 4626, 'group_order': 960, 'label': '20E9', 'order': 20, 'powers': [74, 145, 18], 'representative': 432, 'size': 2}
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id: 143142733
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 148, 'group_counter': 4626, 'group_order': 960, 'label': '20E-9', 'order': 20, 'powers': [73, 146, 19], 'representative': 528, 'size': 2}
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id: 143142734
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 149, 'group_counter': 4626, 'group_order': 960, 'label': '20F1', 'order': 20, 'powers': [77, 151, 20], 'representative': 60, 'size': 2}
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id: 143142736
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 150, 'group_counter': 4626, 'group_order': 960, 'label': '20F-1', 'order': 20, 'powers': [78, 152, 21], 'representative': 916, 'size': 2}
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id: 143142737
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 151, 'group_counter': 4626, 'group_order': 960, 'label': '20F3', 'order': 20, 'powers': [79, 155, 21], 'representative': 148, 'size': 2}
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id: 143142738
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 152, 'group_counter': 4626, 'group_order': 960, 'label': '20F-3', 'order': 20, 'powers': [80, 156, 20], 'representative': 828, 'size': 2}
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id: 143142739
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 153, 'group_counter': 4626, 'group_order': 960, 'label': '20F7', 'order': 20, 'powers': [80, 149, 21], 'representative': 340, 'size': 2}
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id: 143142740
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 154, 'group_counter': 4626, 'group_order': 960, 'label': '20F-7', 'order': 20, 'powers': [79, 150, 20], 'representative': 636, 'size': 2}
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id: 143142741
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 155, 'group_counter': 4626, 'group_order': 960, 'label': '20F9', 'order': 20, 'powers': [78, 153, 20], 'representative': 444, 'size': 2}
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id: 143142742
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 156, 'group_counter': 4626, 'group_order': 960, 'label': '20F-9', 'order': 20, 'powers': [77, 154, 21], 'representative': 532, 'size': 2}
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id: 143142743
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 157, 'group_counter': 4626, 'group_order': 960, 'label': '20G1', 'order': 20, 'powers': [73, 159, 22], 'representative': 50, 'size': 2}
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id: 143142744
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 158, 'group_counter': 4626, 'group_order': 960, 'label': '20G-1', 'order': 20, 'powers': [74, 160, 23], 'representative': 914, 'size': 2}
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id: 143142745
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 159, 'group_counter': 4626, 'group_order': 960, 'label': '20G3', 'order': 20, 'powers': [75, 163, 23], 'representative': 146, 'size': 2}
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id: 143142747
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 160, 'group_counter': 4626, 'group_order': 960, 'label': '20G-3', 'order': 20, 'powers': [76, 164, 22], 'representative': 818, 'size': 2}
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id: 143142748
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 161, 'group_counter': 4626, 'group_order': 960, 'label': '20G7', 'order': 20, 'powers': [76, 157, 23], 'representative': 338, 'size': 2}
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id: 143142749
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 162, 'group_counter': 4626, 'group_order': 960, 'label': '20G-7', 'order': 20, 'powers': [75, 158, 22], 'representative': 626, 'size': 2}
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id: 143142750
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 163, 'group_counter': 4626, 'group_order': 960, 'label': '20G9', 'order': 20, 'powers': [74, 161, 22], 'representative': 434, 'size': 2}
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id: 143142751
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 164, 'group_counter': 4626, 'group_order': 960, 'label': '20G-9', 'order': 20, 'powers': [73, 162, 23], 'representative': 530, 'size': 2}
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id: 143142752
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 165, 'group_counter': 4626, 'group_order': 960, 'label': '20H1', 'order': 20, 'powers': [77, 167, 24], 'representative': 62, 'size': 2}
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id: 143142753
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 166, 'group_counter': 4626, 'group_order': 960, 'label': '20H-1', 'order': 20, 'powers': [78, 168, 25], 'representative': 918, 'size': 2}
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id: 143142754
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 167, 'group_counter': 4626, 'group_order': 960, 'label': '20H3', 'order': 20, 'powers': [79, 171, 25], 'representative': 150, 'size': 2}
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id: 143142755
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 168, 'group_counter': 4626, 'group_order': 960, 'label': '20H-3', 'order': 20, 'powers': [80, 172, 24], 'representative': 830, 'size': 2}
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id: 143142756
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 169, 'group_counter': 4626, 'group_order': 960, 'label': '20H7', 'order': 20, 'powers': [80, 165, 25], 'representative': 342, 'size': 2}
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id: 143142758
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 170, 'group_counter': 4626, 'group_order': 960, 'label': '20H-7', 'order': 20, 'powers': [79, 166, 24], 'representative': 638, 'size': 2}
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id: 143142759
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 171, 'group_counter': 4626, 'group_order': 960, 'label': '20H9', 'order': 20, 'powers': [78, 169, 24], 'representative': 446, 'size': 2}
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id: 143142760
{'aut_label': '20E1', 'centralizer': '2.a1', 'counter': 172, 'group_counter': 4626, 'group_order': 960, 'label': '20H-9', 'order': 20, 'powers': [77, 170, 25], 'representative': 534, 'size': 2}
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id: 143142761
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 173, 'group_counter': 4626, 'group_order': 960, 'label': '20I1', 'order': 20, 'powers': [53, 175, 26], 'representative': 193, 'size': 6}
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id: 143142762
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 174, 'group_counter': 4626, 'group_order': 960, 'label': '20I-1', 'order': 20, 'powers': [54, 176, 27], 'representative': 131, 'size': 6}
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id: 143142763
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 175, 'group_counter': 4626, 'group_order': 960, 'label': '20I3', 'order': 20, 'powers': [55, 179, 27], 'representative': 579, 'size': 6}
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id: 143142764
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 176, 'group_counter': 4626, 'group_order': 960, 'label': '20I-3', 'order': 20, 'powers': [56, 180, 26], 'representative': 65, 'size': 6}
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id: 143142765
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 177, 'group_counter': 4626, 'group_order': 960, 'label': '20I7', 'order': 20, 'powers': [56, 173, 27], 'representative': 67, 'size': 6}
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id: 143142766
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 178, 'group_counter': 4626, 'group_order': 960, 'label': '20I-7', 'order': 20, 'powers': [55, 174, 26], 'representative': 577, 'size': 6}
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id: 143142767
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 179, 'group_counter': 4626, 'group_order': 960, 'label': '20I9', 'order': 20, 'powers': [54, 177, 26], 'representative': 129, 'size': 6}
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id: 143142769
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 180, 'group_counter': 4626, 'group_order': 960, 'label': '20I-9', 'order': 20, 'powers': [53, 178, 27], 'representative': 195, 'size': 6}
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id: 143142770
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 181, 'group_counter': 4626, 'group_order': 960, 'label': '20J1', 'order': 20, 'powers': [53, 183, 28], 'representative': 33, 'size': 6}
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id: 143142771
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 182, 'group_counter': 4626, 'group_order': 960, 'label': '20J-1', 'order': 20, 'powers': [54, 184, 29], 'representative': 611, 'size': 6}
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id: 143142772
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 183, 'group_counter': 4626, 'group_order': 960, 'label': '20J3', 'order': 20, 'powers': [55, 187, 29], 'representative': 99, 'size': 6}
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id: 143142773
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 184, 'group_counter': 4626, 'group_order': 960, 'label': '20J-3', 'order': 20, 'powers': [56, 188, 28], 'representative': 225, 'size': 6}
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id: 143142774
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 185, 'group_counter': 4626, 'group_order': 960, 'label': '20J7', 'order': 20, 'powers': [56, 181, 29], 'representative': 227, 'size': 6}
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id: 143142775
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 186, 'group_counter': 4626, 'group_order': 960, 'label': '20J-7', 'order': 20, 'powers': [55, 182, 28], 'representative': 97, 'size': 6}
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id: 143142776
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 187, 'group_counter': 4626, 'group_order': 960, 'label': '20J9', 'order': 20, 'powers': [54, 185, 28], 'representative': 609, 'size': 6}
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id: 143142777
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 188, 'group_counter': 4626, 'group_order': 960, 'label': '20J-9', 'order': 20, 'powers': [53, 186, 29], 'representative': 35, 'size': 6}
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id: 143142778
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 189, 'group_counter': 4626, 'group_order': 960, 'label': '20K1', 'order': 20, 'powers': [57, 191, 30], 'representative': 17, 'size': 6}
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id: 143142780
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 190, 'group_counter': 4626, 'group_order': 960, 'label': '20K-1', 'order': 20, 'powers': [58, 192, 31], 'representative': 627, 'size': 6}
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id: 143142781
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 191, 'group_counter': 4626, 'group_order': 960, 'label': '20K3', 'order': 20, 'powers': [59, 195, 31], 'representative': 51, 'size': 6}
-
id: 143142782
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 192, 'group_counter': 4626, 'group_order': 960, 'label': '20K-3', 'order': 20, 'powers': [60, 196, 30], 'representative': 593, 'size': 6}
-
id: 143142783
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 193, 'group_counter': 4626, 'group_order': 960, 'label': '20K7', 'order': 20, 'powers': [60, 189, 31], 'representative': 115, 'size': 6}
-
id: 143142784
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 194, 'group_counter': 4626, 'group_order': 960, 'label': '20K-7', 'order': 20, 'powers': [59, 190, 30], 'representative': 209, 'size': 6}
-
id: 143142785
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 195, 'group_counter': 4626, 'group_order': 960, 'label': '20K9', 'order': 20, 'powers': [58, 193, 30], 'representative': 145, 'size': 6}
-
id: 143142786
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 196, 'group_counter': 4626, 'group_order': 960, 'label': '20K-9', 'order': 20, 'powers': [57, 194, 31], 'representative': 179, 'size': 6}
-
id: 143142787
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 197, 'group_counter': 4626, 'group_order': 960, 'label': '20L1', 'order': 20, 'powers': [59, 199, 32], 'representative': 49, 'size': 6}
-
id: 143142788
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 198, 'group_counter': 4626, 'group_order': 960, 'label': '20L-1', 'order': 20, 'powers': [60, 200, 33], 'representative': 595, 'size': 6}
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id: 143142789
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 199, 'group_counter': 4626, 'group_order': 960, 'label': '20L3', 'order': 20, 'powers': [58, 203, 33], 'representative': 147, 'size': 6}
-
id: 143142792
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 200, 'group_counter': 4626, 'group_order': 960, 'label': '20L-3', 'order': 20, 'powers': [57, 204, 32], 'representative': 177, 'size': 6}
-
id: 143142793
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 201, 'group_counter': 4626, 'group_order': 960, 'label': '20L7', 'order': 20, 'powers': [57, 197, 33], 'representative': 19, 'size': 6}
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id: 143142794
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 202, 'group_counter': 4626, 'group_order': 960, 'label': '20L-7', 'order': 20, 'powers': [58, 198, 32], 'representative': 625, 'size': 6}
-
id: 143142795
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 203, 'group_counter': 4626, 'group_order': 960, 'label': '20L9', 'order': 20, 'powers': [60, 201, 32], 'representative': 113, 'size': 6}
-
id: 143142796
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 204, 'group_counter': 4626, 'group_order': 960, 'label': '20L-9', 'order': 20, 'powers': [59, 202, 33], 'representative': 211, 'size': 6}
-
id: 143142797
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 205, 'group_counter': 4626, 'group_order': 960, 'label': '20M1', 'order': 20, 'powers': [61, 207, 34], 'representative': 197, 'size': 6}
-
id: 143142798
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 206, 'group_counter': 4626, 'group_order': 960, 'label': '20M-1', 'order': 20, 'powers': [62, 208, 35], 'representative': 135, 'size': 6}
-
id: 143142799
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 207, 'group_counter': 4626, 'group_order': 960, 'label': '20M3', 'order': 20, 'powers': [63, 211, 35], 'representative': 583, 'size': 6}
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id: 143142800
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 208, 'group_counter': 4626, 'group_order': 960, 'label': '20M-3', 'order': 20, 'powers': [64, 212, 34], 'representative': 69, 'size': 6}
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id: 143142801
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 209, 'group_counter': 4626, 'group_order': 960, 'label': '20M7', 'order': 20, 'powers': [64, 205, 35], 'representative': 71, 'size': 6}
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id: 143142803
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 210, 'group_counter': 4626, 'group_order': 960, 'label': '20M-7', 'order': 20, 'powers': [63, 206, 34], 'representative': 581, 'size': 6}
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id: 143142804
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 211, 'group_counter': 4626, 'group_order': 960, 'label': '20M9', 'order': 20, 'powers': [62, 209, 34], 'representative': 133, 'size': 6}
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id: 143142805
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 212, 'group_counter': 4626, 'group_order': 960, 'label': '20M-9', 'order': 20, 'powers': [61, 210, 35], 'representative': 199, 'size': 6}
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id: 143142806
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 213, 'group_counter': 4626, 'group_order': 960, 'label': '20N1', 'order': 20, 'powers': [61, 215, 36], 'representative': 37, 'size': 6}
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id: 143142807
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 214, 'group_counter': 4626, 'group_order': 960, 'label': '20N-1', 'order': 20, 'powers': [62, 216, 37], 'representative': 615, 'size': 6}
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id: 143142808
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 215, 'group_counter': 4626, 'group_order': 960, 'label': '20N3', 'order': 20, 'powers': [63, 219, 37], 'representative': 103, 'size': 6}
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id: 143142809
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 216, 'group_counter': 4626, 'group_order': 960, 'label': '20N-3', 'order': 20, 'powers': [64, 220, 36], 'representative': 229, 'size': 6}
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id: 143142810
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 217, 'group_counter': 4626, 'group_order': 960, 'label': '20N7', 'order': 20, 'powers': [64, 213, 37], 'representative': 231, 'size': 6}
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id: 143142811
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 218, 'group_counter': 4626, 'group_order': 960, 'label': '20N-7', 'order': 20, 'powers': [63, 214, 36], 'representative': 101, 'size': 6}
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id: 143142812
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 219, 'group_counter': 4626, 'group_order': 960, 'label': '20N9', 'order': 20, 'powers': [62, 217, 36], 'representative': 613, 'size': 6}
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id: 143142814
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 220, 'group_counter': 4626, 'group_order': 960, 'label': '20N-9', 'order': 20, 'powers': [61, 218, 37], 'representative': 39, 'size': 6}
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id: 143142815
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 221, 'group_counter': 4626, 'group_order': 960, 'label': '20O1', 'order': 20, 'powers': [65, 223, 38], 'representative': 21, 'size': 6}
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id: 143142816
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 222, 'group_counter': 4626, 'group_order': 960, 'label': '20O-1', 'order': 20, 'powers': [66, 224, 39], 'representative': 631, 'size': 6}
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id: 143142817
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 223, 'group_counter': 4626, 'group_order': 960, 'label': '20O3', 'order': 20, 'powers': [67, 227, 39], 'representative': 55, 'size': 6}
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id: 143142818
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 224, 'group_counter': 4626, 'group_order': 960, 'label': '20O-3', 'order': 20, 'powers': [68, 228, 38], 'representative': 597, 'size': 6}
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id: 143142819
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 225, 'group_counter': 4626, 'group_order': 960, 'label': '20O7', 'order': 20, 'powers': [68, 221, 39], 'representative': 119, 'size': 6}
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id: 143142820
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 226, 'group_counter': 4626, 'group_order': 960, 'label': '20O-7', 'order': 20, 'powers': [67, 222, 38], 'representative': 213, 'size': 6}
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id: 143142821
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 227, 'group_counter': 4626, 'group_order': 960, 'label': '20O9', 'order': 20, 'powers': [66, 225, 38], 'representative': 149, 'size': 6}
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id: 143142822
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 228, 'group_counter': 4626, 'group_order': 960, 'label': '20O-9', 'order': 20, 'powers': [65, 226, 39], 'representative': 183, 'size': 6}
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id: 143142823
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 229, 'group_counter': 4626, 'group_order': 960, 'label': '20P1', 'order': 20, 'powers': [67, 231, 40], 'representative': 53, 'size': 6}
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id: 143142825
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 230, 'group_counter': 4626, 'group_order': 960, 'label': '20P-1', 'order': 20, 'powers': [68, 232, 41], 'representative': 599, 'size': 6}
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id: 143142826
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 231, 'group_counter': 4626, 'group_order': 960, 'label': '20P3', 'order': 20, 'powers': [66, 235, 41], 'representative': 151, 'size': 6}
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id: 143142827
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 232, 'group_counter': 4626, 'group_order': 960, 'label': '20P-3', 'order': 20, 'powers': [65, 236, 40], 'representative': 181, 'size': 6}
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id: 143142828
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 233, 'group_counter': 4626, 'group_order': 960, 'label': '20P7', 'order': 20, 'powers': [65, 229, 41], 'representative': 23, 'size': 6}
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id: 143142829
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 234, 'group_counter': 4626, 'group_order': 960, 'label': '20P-7', 'order': 20, 'powers': [66, 230, 40], 'representative': 629, 'size': 6}
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id: 143142830
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 235, 'group_counter': 4626, 'group_order': 960, 'label': '20P9', 'order': 20, 'powers': [68, 233, 40], 'representative': 117, 'size': 6}
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id: 143142831
{'aut_label': '20I1', 'centralizer': '6.b1', 'counter': 236, 'group_counter': 4626, 'group_order': 960, 'label': '20P-9', 'order': 20, 'powers': [67, 234, 41], 'representative': 215, 'size': 6}
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id: 143142832
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 237, 'group_counter': 4626, 'group_order': 960, 'label': '30A1', 'order': 30, 'powers': [105, 55, 46], 'representative': 66, 'size': 2}
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id: 143142833
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 238, 'group_counter': 4626, 'group_order': 960, 'label': '30A-1', 'order': 30, 'powers': [106, 56, 46], 'representative': 258, 'size': 2}
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id: 143142834
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 239, 'group_counter': 4626, 'group_order': 960, 'label': '30A7', 'order': 30, 'powers': [107, 53, 46], 'representative': 130, 'size': 2}
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id: 143142836
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 240, 'group_counter': 4626, 'group_order': 960, 'label': '30A-7', 'order': 30, 'powers': [108, 54, 46], 'representative': 514, 'size': 2}
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id: 143142837
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 241, 'group_counter': 4626, 'group_order': 960, 'label': '30B1', 'order': 30, 'powers': [108, 67, 47], 'representative': 34, 'size': 2}
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id: 143142838
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 242, 'group_counter': 4626, 'group_order': 960, 'label': '30B-1', 'order': 30, 'powers': [107, 68, 47], 'representative': 610, 'size': 2}
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id: 143142839
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 243, 'group_counter': 4626, 'group_order': 960, 'label': '30B7', 'order': 30, 'powers': [105, 65, 47], 'representative': 226, 'size': 2}
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id: 143142840
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 244, 'group_counter': 4626, 'group_order': 960, 'label': '30B-7', 'order': 30, 'powers': [106, 66, 47], 'representative': 418, 'size': 2}
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id: 143142841
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 245, 'group_counter': 4626, 'group_order': 960, 'label': '30C1', 'order': 30, 'powers': [105, 63, 48], 'representative': 74, 'size': 2}
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id: 143142842
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 246, 'group_counter': 4626, 'group_order': 960, 'label': '30C-1', 'order': 30, 'powers': [106, 64, 48], 'representative': 266, 'size': 2}
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id: 143142843
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 247, 'group_counter': 4626, 'group_order': 960, 'label': '30C7', 'order': 30, 'powers': [107, 61, 48], 'representative': 138, 'size': 2}
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id: 143142844
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 248, 'group_counter': 4626, 'group_order': 960, 'label': '30C-7', 'order': 30, 'powers': [108, 62, 48], 'representative': 522, 'size': 2}
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id: 143142845
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 249, 'group_counter': 4626, 'group_order': 960, 'label': '30D1', 'order': 30, 'powers': [108, 59, 49], 'representative': 42, 'size': 2}
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id: 143142847
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 250, 'group_counter': 4626, 'group_order': 960, 'label': '30D-1', 'order': 30, 'powers': [107, 60, 49], 'representative': 618, 'size': 2}
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id: 143142848
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 251, 'group_counter': 4626, 'group_order': 960, 'label': '30D7', 'order': 30, 'powers': [105, 57, 49], 'representative': 234, 'size': 2}
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id: 143142849
{'aut_label': '30A1', 'centralizer': '2.a1', 'counter': 252, 'group_counter': 4626, 'group_order': 960, 'label': '30D-7', 'order': 30, 'powers': [106, 58, 49], 'representative': 426, 'size': 2}
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id: 143142850
{'aut_label': '30E1', 'centralizer': '2.a1', 'counter': 253, 'group_counter': 4626, 'group_order': 960, 'label': '30E1', 'order': 30, 'powers': [107, 69, 50], 'representative': 136, 'size': 2}
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id: 143142851
{'aut_label': '30E1', 'centralizer': '2.a1', 'counter': 254, 'group_counter': 4626, 'group_order': 960, 'label': '30E-1', 'order': 30, 'powers': [108, 70, 50], 'representative': 840, 'size': 2}
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id: 143142852
{'aut_label': '30E1', 'centralizer': '2.a1', 'counter': 255, 'group_counter': 4626, 'group_order': 960, 'label': '30E7', 'order': 30, 'powers': [106, 72, 50], 'representative': 904, 'size': 2}
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id: 143142853
{'aut_label': '30E1', 'centralizer': '2.a1', 'counter': 256, 'group_counter': 4626, 'group_order': 960, 'label': '30E-7', 'order': 30, 'powers': [105, 71, 50], 'representative': 72, 'size': 2}
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id: 143142854
{'aut_label': '30F1', 'centralizer': '2.a1', 'counter': 257, 'group_counter': 4626, 'group_order': 960, 'label': '30F1', 'order': 30, 'powers': [108, 73, 51], 'representative': 32, 'size': 2}
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id: 143142855
{'aut_label': '30F1', 'centralizer': '2.a1', 'counter': 258, 'group_counter': 4626, 'group_order': 960, 'label': '30F-1', 'order': 30, 'powers': [107, 74, 51], 'representative': 928, 'size': 2}
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id: 143142856
{'aut_label': '30F1', 'centralizer': '2.a1', 'counter': 259, 'group_counter': 4626, 'group_order': 960, 'label': '30F7', 'order': 30, 'powers': [105, 76, 51], 'representative': 224, 'size': 2}
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id: 143142858
{'aut_label': '30F1', 'centralizer': '2.a1', 'counter': 260, 'group_counter': 4626, 'group_order': 960, 'label': '30F-7', 'order': 30, 'powers': [106, 75, 51], 'representative': 736, 'size': 2}
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id: 143142859
{'aut_label': '30F1', 'centralizer': '2.a1', 'counter': 261, 'group_counter': 4626, 'group_order': 960, 'label': '30G1', 'order': 30, 'powers': [108, 77, 52], 'representative': 40, 'size': 2}
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id: 143142860
{'aut_label': '30F1', 'centralizer': '2.a1', 'counter': 262, 'group_counter': 4626, 'group_order': 960, 'label': '30G-1', 'order': 30, 'powers': [107, 78, 52], 'representative': 936, 'size': 2}
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id: 143142861
{'aut_label': '30F1', 'centralizer': '2.a1', 'counter': 263, 'group_counter': 4626, 'group_order': 960, 'label': '30G7', 'order': 30, 'powers': [105, 80, 52], 'representative': 232, 'size': 2}
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id: 143142862
{'aut_label': '30F1', 'centralizer': '2.a1', 'counter': 264, 'group_counter': 4626, 'group_order': 960, 'label': '30G-7', 'order': 30, 'powers': [106, 79, 52], 'representative': 744, 'size': 2}
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id: 143142863
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 265, 'group_counter': 4626, 'group_order': 960, 'label': '60A1', 'order': 60, 'powers': [253, 109, 81], 'representative': 68, 'size': 2}
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id: 143142864
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 266, 'group_counter': 4626, 'group_order': 960, 'label': '60A-1', 'order': 60, 'powers': [254, 110, 82], 'representative': 268, 'size': 2}
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id: 143142865
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 267, 'group_counter': 4626, 'group_order': 960, 'label': '60A7', 'order': 60, 'powers': [255, 113, 82], 'representative': 140, 'size': 2}
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id: 143142866
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 268, 'group_counter': 4626, 'group_order': 960, 'label': '60A-7', 'order': 60, 'powers': [256, 114, 81], 'representative': 516, 'size': 2}
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id: 143142867
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 269, 'group_counter': 4626, 'group_order': 960, 'label': '60A11', 'order': 60, 'powers': [253, 116, 82], 'representative': 76, 'size': 2}
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id: 143142869
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 270, 'group_counter': 4626, 'group_order': 960, 'label': '60A-11', 'order': 60, 'powers': [254, 115, 81], 'representative': 260, 'size': 2}
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id: 143142870
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 271, 'group_counter': 4626, 'group_order': 960, 'label': '60A17', 'order': 60, 'powers': [255, 112, 81], 'representative': 132, 'size': 2}
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id: 143142871
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 272, 'group_counter': 4626, 'group_order': 960, 'label': '60A-17', 'order': 60, 'powers': [256, 111, 82], 'representative': 524, 'size': 2}
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id: 143142872
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 273, 'group_counter': 4626, 'group_order': 960, 'label': '60B1', 'order': 60, 'powers': [256, 117, 83], 'representative': 36, 'size': 2}
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id: 143142873
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 274, 'group_counter': 4626, 'group_order': 960, 'label': '60B-1', 'order': 60, 'powers': [255, 118, 84], 'representative': 620, 'size': 2}
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id: 143142874
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 275, 'group_counter': 4626, 'group_order': 960, 'label': '60B7', 'order': 60, 'powers': [253, 121, 84], 'representative': 236, 'size': 2}
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id: 143142875
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 276, 'group_counter': 4626, 'group_order': 960, 'label': '60B-7', 'order': 60, 'powers': [254, 122, 83], 'representative': 420, 'size': 2}
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id: 143142876
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 277, 'group_counter': 4626, 'group_order': 960, 'label': '60B11', 'order': 60, 'powers': [256, 124, 84], 'representative': 44, 'size': 2}
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id: 143142877
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 278, 'group_counter': 4626, 'group_order': 960, 'label': '60B-11', 'order': 60, 'powers': [255, 123, 83], 'representative': 612, 'size': 2}
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id: 143142878
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 279, 'group_counter': 4626, 'group_order': 960, 'label': '60B17', 'order': 60, 'powers': [253, 120, 83], 'representative': 228, 'size': 2}
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id: 143142880
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 280, 'group_counter': 4626, 'group_order': 960, 'label': '60B-17', 'order': 60, 'powers': [254, 119, 84], 'representative': 428, 'size': 2}
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id: 143142881
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 281, 'group_counter': 4626, 'group_order': 960, 'label': '60C1', 'order': 60, 'powers': [253, 125, 85], 'representative': 70, 'size': 2}
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id: 143142882
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 282, 'group_counter': 4626, 'group_order': 960, 'label': '60C-1', 'order': 60, 'powers': [254, 126, 86], 'representative': 270, 'size': 2}
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id: 143142883
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 283, 'group_counter': 4626, 'group_order': 960, 'label': '60C7', 'order': 60, 'powers': [255, 129, 86], 'representative': 142, 'size': 2}
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id: 143142884
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 284, 'group_counter': 4626, 'group_order': 960, 'label': '60C-7', 'order': 60, 'powers': [256, 130, 85], 'representative': 518, 'size': 2}
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id: 143142885
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 285, 'group_counter': 4626, 'group_order': 960, 'label': '60C11', 'order': 60, 'powers': [253, 132, 86], 'representative': 78, 'size': 2}
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id: 143142886
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 286, 'group_counter': 4626, 'group_order': 960, 'label': '60C-11', 'order': 60, 'powers': [254, 131, 85], 'representative': 262, 'size': 2}
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id: 143142887
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 287, 'group_counter': 4626, 'group_order': 960, 'label': '60C17', 'order': 60, 'powers': [255, 128, 85], 'representative': 134, 'size': 2}
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id: 143142888
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 288, 'group_counter': 4626, 'group_order': 960, 'label': '60C-17', 'order': 60, 'powers': [256, 127, 86], 'representative': 526, 'size': 2}
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id: 143142889
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 289, 'group_counter': 4626, 'group_order': 960, 'label': '60D1', 'order': 60, 'powers': [256, 133, 87], 'representative': 38, 'size': 2}
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id: 143142891
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 290, 'group_counter': 4626, 'group_order': 960, 'label': '60D-1', 'order': 60, 'powers': [255, 134, 88], 'representative': 622, 'size': 2}
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id: 143142892
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 291, 'group_counter': 4626, 'group_order': 960, 'label': '60D7', 'order': 60, 'powers': [253, 137, 88], 'representative': 238, 'size': 2}
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id: 143142893
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 292, 'group_counter': 4626, 'group_order': 960, 'label': '60D-7', 'order': 60, 'powers': [254, 138, 87], 'representative': 422, 'size': 2}
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id: 143142894
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 293, 'group_counter': 4626, 'group_order': 960, 'label': '60D11', 'order': 60, 'powers': [256, 140, 88], 'representative': 46, 'size': 2}
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id: 143142895
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 294, 'group_counter': 4626, 'group_order': 960, 'label': '60D-11', 'order': 60, 'powers': [255, 139, 87], 'representative': 614, 'size': 2}
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id: 143142896
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 295, 'group_counter': 4626, 'group_order': 960, 'label': '60D17', 'order': 60, 'powers': [253, 136, 87], 'representative': 230, 'size': 2}
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id: 143142897
{'aut_label': '60A1', 'centralizer': '2.a1', 'counter': 296, 'group_counter': 4626, 'group_order': 960, 'label': '60D-17', 'order': 60, 'powers': [254, 135, 88], 'representative': 430, 'size': 2}
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id: 143142898
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 297, 'group_counter': 4626, 'group_order': 960, 'label': '60E1', 'order': 60, 'powers': [257, 141, 89], 'representative': 16, 'size': 2}
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id: 143142899
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 298, 'group_counter': 4626, 'group_order': 960, 'label': '60E-1', 'order': 60, 'powers': [258, 142, 90], 'representative': 944, 'size': 2}
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id: 143142900
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 299, 'group_counter': 4626, 'group_order': 960, 'label': '60E7', 'order': 60, 'powers': [259, 145, 92], 'representative': 112, 'size': 2}
-
id: 143142903
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 300, 'group_counter': 4626, 'group_order': 960, 'label': '60E-7', 'order': 60, 'powers': [260, 146, 91], 'representative': 216, 'size': 2}
-
id: 143142904
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 301, 'group_counter': 4626, 'group_order': 960, 'label': '60E11', 'order': 60, 'powers': [257, 148, 90], 'representative': 176, 'size': 2}
-
id: 143142905
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 302, 'group_counter': 4626, 'group_order': 960, 'label': '60E-11', 'order': 60, 'powers': [258, 147, 89], 'representative': 784, 'size': 2}
-
id: 143142906
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 303, 'group_counter': 4626, 'group_order': 960, 'label': '60E13', 'order': 60, 'powers': [260, 146, 89], 'representative': 208, 'size': 2}
-
id: 143142907
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 304, 'group_counter': 4626, 'group_order': 960, 'label': '60E-13', 'order': 60, 'powers': [259, 145, 90], 'representative': 120, 'size': 2}
-
id: 143142908
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 305, 'group_counter': 4626, 'group_order': 960, 'label': '60E17', 'order': 60, 'powers': [259, 144, 91], 'representative': 272, 'size': 2}
-
id: 143142909
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 306, 'group_counter': 4626, 'group_order': 960, 'label': '60E-17', 'order': 60, 'powers': [260, 143, 92], 'representative': 688, 'size': 2}
-
id: 143142910
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 307, 'group_counter': 4626, 'group_order': 960, 'label': '60E19', 'order': 60, 'powers': [258, 142, 92], 'representative': 304, 'size': 2}
-
id: 143142911
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 308, 'group_counter': 4626, 'group_order': 960, 'label': '60E-19', 'order': 60, 'powers': [257, 141, 91], 'representative': 24, 'size': 2}
-
id: 143142912
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 309, 'group_counter': 4626, 'group_order': 960, 'label': '60E23', 'order': 60, 'powers': [260, 143, 90], 'representative': 368, 'size': 2}
-
id: 143142914
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 310, 'group_counter': 4626, 'group_order': 960, 'label': '60E-23', 'order': 60, 'powers': [259, 144, 89], 'representative': 592, 'size': 2}
-
id: 143142915
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 311, 'group_counter': 4626, 'group_order': 960, 'label': '60E29', 'order': 60, 'powers': [258, 147, 91], 'representative': 464, 'size': 2}
-
id: 143142916
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 312, 'group_counter': 4626, 'group_order': 960, 'label': '60E-29', 'order': 60, 'powers': [257, 148, 92], 'representative': 496, 'size': 2}
-
id: 143142917
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 313, 'group_counter': 4626, 'group_order': 960, 'label': '60F1', 'order': 60, 'powers': [261, 149, 93], 'representative': 20, 'size': 2}
-
id: 143142918
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 314, 'group_counter': 4626, 'group_order': 960, 'label': '60F-1', 'order': 60, 'powers': [262, 150, 94], 'representative': 308, 'size': 2}
-
id: 143142919
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 315, 'group_counter': 4626, 'group_order': 960, 'label': '60F7', 'order': 60, 'powers': [263, 153, 96], 'representative': 124, 'size': 2}
-
id: 143142920
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 316, 'group_counter': 4626, 'group_order': 960, 'label': '60F-7', 'order': 60, 'powers': [264, 154, 95], 'representative': 220, 'size': 2}
-
id: 143142921
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 317, 'group_counter': 4626, 'group_order': 960, 'label': '60F11', 'order': 60, 'powers': [261, 156, 94], 'representative': 500, 'size': 2}
-
id: 143142922
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 318, 'group_counter': 4626, 'group_order': 960, 'label': '60F-11', 'order': 60, 'powers': [262, 155, 93], 'representative': 788, 'size': 2}
-
id: 143142923
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 319, 'group_counter': 4626, 'group_order': 960, 'label': '60F13', 'order': 60, 'powers': [264, 154, 93], 'representative': 212, 'size': 2}
-
id: 143142925
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 320, 'group_counter': 4626, 'group_order': 960, 'label': '60F-13', 'order': 60, 'powers': [263, 153, 94], 'representative': 116, 'size': 2}
-
id: 143142926
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 321, 'group_counter': 4626, 'group_order': 960, 'label': '60F17', 'order': 60, 'powers': [263, 152, 95], 'representative': 276, 'size': 2}
-
id: 143142927
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 322, 'group_counter': 4626, 'group_order': 960, 'label': '60F-17', 'order': 60, 'powers': [264, 151, 96], 'representative': 372, 'size': 2}
-
id: 143142928
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 323, 'group_counter': 4626, 'group_order': 960, 'label': '60F19', 'order': 60, 'powers': [262, 150, 96], 'representative': 948, 'size': 2}
-
id: 143142929
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 324, 'group_counter': 4626, 'group_order': 960, 'label': '60F-19', 'order': 60, 'powers': [261, 149, 95], 'representative': 28, 'size': 2}
-
id: 143142930
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 325, 'group_counter': 4626, 'group_order': 960, 'label': '60F23', 'order': 60, 'powers': [264, 151, 94], 'representative': 692, 'size': 2}
-
id: 143142931
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 326, 'group_counter': 4626, 'group_order': 960, 'label': '60F-23', 'order': 60, 'powers': [263, 152, 93], 'representative': 596, 'size': 2}
-
id: 143142932
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 327, 'group_counter': 4626, 'group_order': 960, 'label': '60F29', 'order': 60, 'powers': [262, 155, 95], 'representative': 468, 'size': 2}
-
id: 143142933
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 328, 'group_counter': 4626, 'group_order': 960, 'label': '60F-29', 'order': 60, 'powers': [261, 156, 96], 'representative': 180, 'size': 2}
-
id: 143142934
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 329, 'group_counter': 4626, 'group_order': 960, 'label': '60G1', 'order': 60, 'powers': [257, 157, 97], 'representative': 18, 'size': 2}
-
id: 143142936
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 330, 'group_counter': 4626, 'group_order': 960, 'label': '60G-1', 'order': 60, 'powers': [258, 158, 98], 'representative': 946, 'size': 2}
-
id: 143142937
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 331, 'group_counter': 4626, 'group_order': 960, 'label': '60G7', 'order': 60, 'powers': [259, 161, 100], 'representative': 114, 'size': 2}
-
id: 143142938
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 332, 'group_counter': 4626, 'group_order': 960, 'label': '60G-7', 'order': 60, 'powers': [260, 162, 99], 'representative': 218, 'size': 2}
-
id: 143142939
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 333, 'group_counter': 4626, 'group_order': 960, 'label': '60G11', 'order': 60, 'powers': [257, 164, 98], 'representative': 178, 'size': 2}
-
id: 143142940
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 334, 'group_counter': 4626, 'group_order': 960, 'label': '60G-11', 'order': 60, 'powers': [258, 163, 97], 'representative': 786, 'size': 2}
-
id: 143142941
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 335, 'group_counter': 4626, 'group_order': 960, 'label': '60G13', 'order': 60, 'powers': [260, 162, 97], 'representative': 210, 'size': 2}
-
id: 143142942
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 336, 'group_counter': 4626, 'group_order': 960, 'label': '60G-13', 'order': 60, 'powers': [259, 161, 98], 'representative': 122, 'size': 2}
-
id: 143142943
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 337, 'group_counter': 4626, 'group_order': 960, 'label': '60G17', 'order': 60, 'powers': [259, 160, 99], 'representative': 274, 'size': 2}
-
id: 143142944
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 338, 'group_counter': 4626, 'group_order': 960, 'label': '60G-17', 'order': 60, 'powers': [260, 159, 100], 'representative': 690, 'size': 2}
-
id: 143142945
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 339, 'group_counter': 4626, 'group_order': 960, 'label': '60G19', 'order': 60, 'powers': [258, 158, 100], 'representative': 306, 'size': 2}
-
id: 143142947
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 340, 'group_counter': 4626, 'group_order': 960, 'label': '60G-19', 'order': 60, 'powers': [257, 157, 99], 'representative': 26, 'size': 2}
-
id: 143142948
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 341, 'group_counter': 4626, 'group_order': 960, 'label': '60G23', 'order': 60, 'powers': [260, 159, 98], 'representative': 370, 'size': 2}
-
id: 143142949
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 342, 'group_counter': 4626, 'group_order': 960, 'label': '60G-23', 'order': 60, 'powers': [259, 160, 97], 'representative': 594, 'size': 2}
-
id: 143142950
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 343, 'group_counter': 4626, 'group_order': 960, 'label': '60G29', 'order': 60, 'powers': [258, 163, 99], 'representative': 466, 'size': 2}
-
id: 143142951
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 344, 'group_counter': 4626, 'group_order': 960, 'label': '60G-29', 'order': 60, 'powers': [257, 164, 100], 'representative': 498, 'size': 2}
-
id: 143142952
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 345, 'group_counter': 4626, 'group_order': 960, 'label': '60H1', 'order': 60, 'powers': [261, 165, 101], 'representative': 22, 'size': 2}
-
id: 143142953
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 346, 'group_counter': 4626, 'group_order': 960, 'label': '60H-1', 'order': 60, 'powers': [262, 166, 102], 'representative': 310, 'size': 2}
-
id: 143142954
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 347, 'group_counter': 4626, 'group_order': 960, 'label': '60H7', 'order': 60, 'powers': [263, 169, 104], 'representative': 126, 'size': 2}
-
id: 143142955
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 348, 'group_counter': 4626, 'group_order': 960, 'label': '60H-7', 'order': 60, 'powers': [264, 170, 103], 'representative': 222, 'size': 2}
-
id: 143142956
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 349, 'group_counter': 4626, 'group_order': 960, 'label': '60H11', 'order': 60, 'powers': [261, 172, 102], 'representative': 502, 'size': 2}
-
id: 143142958
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 350, 'group_counter': 4626, 'group_order': 960, 'label': '60H-11', 'order': 60, 'powers': [262, 171, 101], 'representative': 790, 'size': 2}
-
id: 143142959
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 351, 'group_counter': 4626, 'group_order': 960, 'label': '60H13', 'order': 60, 'powers': [264, 170, 101], 'representative': 214, 'size': 2}
-
id: 143142960
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 352, 'group_counter': 4626, 'group_order': 960, 'label': '60H-13', 'order': 60, 'powers': [263, 169, 102], 'representative': 118, 'size': 2}
-
id: 143142961
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 353, 'group_counter': 4626, 'group_order': 960, 'label': '60H17', 'order': 60, 'powers': [263, 168, 103], 'representative': 278, 'size': 2}
-
id: 143142962
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 354, 'group_counter': 4626, 'group_order': 960, 'label': '60H-17', 'order': 60, 'powers': [264, 167, 104], 'representative': 374, 'size': 2}
-
id: 143142963
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 355, 'group_counter': 4626, 'group_order': 960, 'label': '60H19', 'order': 60, 'powers': [262, 166, 104], 'representative': 950, 'size': 2}
-
id: 143142964
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 356, 'group_counter': 4626, 'group_order': 960, 'label': '60H-19', 'order': 60, 'powers': [261, 165, 103], 'representative': 30, 'size': 2}
-
id: 143142965
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 357, 'group_counter': 4626, 'group_order': 960, 'label': '60H23', 'order': 60, 'powers': [264, 167, 102], 'representative': 694, 'size': 2}
-
id: 143142966
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 358, 'group_counter': 4626, 'group_order': 960, 'label': '60H-23', 'order': 60, 'powers': [263, 168, 101], 'representative': 598, 'size': 2}
-
id: 143142967
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 359, 'group_counter': 4626, 'group_order': 960, 'label': '60H29', 'order': 60, 'powers': [262, 171, 103], 'representative': 470, 'size': 2}
-
id: 143142969
{'aut_label': '60E1', 'centralizer': '2.a1', 'counter': 360, 'group_counter': 4626, 'group_order': 960, 'label': '60H-29', 'order': 60, 'powers': [261, 172, 104], 'representative': 182, 'size': 2}
-
gps_qchar • Show schema
Hide schema
-
id: 13652692
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
-
id: 13652703
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -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: 13652714
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id: 13652694
{'cdim': 1, 'counter': 11, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 2, 0, 2, 0, -2, 0, 0, -2, -2, 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, 2, -2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, -2, -2, 0, 0, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, -2, -2, -2, 0, 2, -2, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 2, -2, 0, 0, -2, 2, 2, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, -2, -2, 0, 0, 2, -2, 0, 0, -2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 2, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652695
{'cdim': 1, 'counter': 12, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1l', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, -2, 0, -2, 0, 2, 0, 0, 2, 2, 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, 2, -2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 2, 2, 2, 0, -2, 2, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 2, -2, 0, 0, -2, 2, 2, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, -2, -2, 0, 0, 2, -2, 0, 0, -2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 2, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652696
{'cdim': 1, 'counter': 13, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1m', '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, 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, -2, -2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, 2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, -2, 2, 2, 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: 13652697
{'cdim': 1, 'counter': 14, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1n', '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, 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, 2, 2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 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: 13652698
{'cdim': 1, 'counter': 15, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1o', '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, 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, 2, 2, 2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -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: 13652699
{'cdim': 1, 'counter': 16, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1p', '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, 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, -2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, -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: 13652700
{'cdim': 1, 'counter': 17, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1q', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 2, 0, 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, 2, 2, -2, -2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -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, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 2, -2, 0, -2, -2, -2, -2, 0, 0, 2, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 2, 0, -2, 2, 2, -2, -2, 2, 0, 0, 0, -2, -2, 2, 2, 0, 2, 2, 2, 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, 0, 0, 0, 2, 2, 0, 0, 2, -2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, -2, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652701
{'cdim': 1, 'counter': 18, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1r', '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, -2, 0, -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, 2, 2, -2, -2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -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, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 0, 0, 0, 0, 2, 0, 0, -2, 2, 0, 2, 2, 2, 2, 0, 0, -2, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, -2, 0, 2, -2, -2, 2, 2, -2, 0, 0, 0, 2, 2, -2, -2, 0, -2, -2, -2, 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, 0, 0, 0, 2, 2, 0, 0, 2, -2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, -2, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652702
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id: 13652704
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id: 13652727
{'cdim': 2, 'counter': 41, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, 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, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13652728
{'cdim': 2, 'counter': 42, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.2b', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -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, -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, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13652729
{'cdim': 2, 'counter': 43, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.2c', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, -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, -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, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13652730
{'cdim': 2, 'counter': 44, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.2d', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -1, 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, -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, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 13652731
{'cdim': 2, 'counter': 45, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.2e', 'multiplicity': 1, 'nt': [12, 5], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -2, 2, -2, -1, -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, 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, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 2}
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id: 13652732
{'cdim': 2, 'counter': 46, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.2f', 'multiplicity': 1, 'nt': [12, 5], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, -2, 2, -2, -1, -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, 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, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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': 2}
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id: 13652712
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id: 13652735
{'cdim': 2, 'counter': 49, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.2i', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [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, 4, 4, 4, 4, 4, -4, -4, 4, -4, -4, 4, 4, 4, 4, -4, 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, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 4, 4, -4, -4, -4, 4, -4, -4, 4, -4, 4, 4, -4, -4, -4, 4, 4, 4, 4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652737
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id: 13652738
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id: 13652739
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id: 13652740
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id: 13652741
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id: 13652742
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id: 13652743
{'cdim': 2, 'counter': 56, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.2p', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, 4, -4, 4, -4, -4, -4, -2, 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, 4, 4, 4, 4, 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, 2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 2, 2, 0, 0, 2, -2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, -2, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652713
{'cdim': 1, 'counter': 29, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1ac', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, 8, -8, 8, 8, -8, 8, 8, -8, 8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 8, 0, -8, 0, 8, 0, 8, 0, 0, -8, 8, 0, -8, 0, -2, -2, -2, -2, 8, -8, 8, -8, 8, -8, -8, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2, -8, 0, 0, 0, 0, 0, 8, 0, 0, -8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, -8, -8, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, -2, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 2, 2, 2, 0, 2, -2, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 0, 0, 0, 2, -2, 0, 0, -2, 2, 2, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, -2, -2, 0, 0, 2, -2, 0, 0, -2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 2, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652715
{'cdim': 1, 'counter': 30, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1ad', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, 8, -8, 8, 8, -8, 8, 8, -8, 8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -8, 0, 8, 0, -8, 0, -8, 0, 0, 8, -8, 0, 8, 0, -2, -2, -2, -2, 8, -8, 8, -8, 8, -8, -8, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2, -8, 0, 0, 0, 0, 0, 8, 0, 0, -8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, -8, -8, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, 2, -2, 0, 0, 0, -2, -2, -2, 0, -2, 2, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, 0, -2, 0, 0, 0, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 0, 0, 0, 2, -2, 0, 0, -2, 2, 2, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, -2, -2, 0, 0, 2, -2, 0, 0, -2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 2, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652716
{'cdim': 1, 'counter': 31, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1ae', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, 8, -8, 8, 8, 8, -8, -8, 8, -8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 8, 0, 8, 0, 8, 0, -8, 0, 0, -8, -8, 0, 8, 0, -2, -2, -2, -2, 8, -8, 8, -8, 8, -8, -8, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2, 8, 0, 0, 0, 0, 0, -8, 0, 0, 8, 0, -8, 0, -8, 0, 0, 0, 0, 0, 0, 0, -8, 8, 8, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 2, 2, 2, 0, -2, 2, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, 2, 0, 0, 0, -2, 2, 0, 0, 2, -2, -2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, -2, 2, 0, 0, 2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, -2, -2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652717
{'cdim': 1, 'counter': 32, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1af', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, 8, -8, 8, 8, 8, -8, -8, 8, -8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -8, 0, -8, 0, -8, 0, 8, 0, 0, 8, 8, 0, -8, 0, -2, -2, -2, -2, 8, -8, 8, -8, 8, -8, -8, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, 2, 2, -2, 2, 8, 0, 0, 0, 0, 0, -8, 0, 0, 8, 0, -8, 0, -8, 0, 0, 0, 0, 0, 0, 0, -8, 8, 8, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, -2, -2, 0, 0, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, -2, -2, -2, 0, 2, -2, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, 2, 0, 0, 0, -2, 2, 0, 0, 2, -2, -2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, -2, 2, 0, 0, 2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, -2, -2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652718
{'cdim': 1, 'counter': 33, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1ag', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, -8, 8, -8, -8, 8, -8, 8, -8, 8, -8, 8, -8, 8, -8, 8, -8, 8, -8, -8, 8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -8, -8, -8, -8, 8, 8, 8, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 8, -8, -8, -8, 8, 8, -8, -8, 8, -8, 8, 8, 8, 8, 8, -8, 8, 8, -8, -8, -8, -8, 8, -8, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 2, -2, -2, 2, 2, 2, -2, 2, -2, -2, -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: 13652719
{'cdim': 1, 'counter': 34, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1ah', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, -8, 8, -8, -8, 8, -8, 8, -8, 8, -8, 8, -8, 8, -8, 8, 8, -8, 8, 8, -8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -8, -8, -8, -8, 8, 8, 8, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 8, 8, 8, 8, -8, -8, -8, 8, -8, -8, -8, 8, -8, 8, -8, 8, -8, -8, 8, 8, 8, -8, 8, -8, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, -2, 2, -2, 2, -2, 2, 2, -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: 13652720
{'cdim': 1, 'counter': 35, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1ai', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, -8, 8, -8, -8, 8, -8, 8, 8, -8, 8, -8, 8, -8, 8, -8, -8, 8, 8, -8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -8, -8, -8, -8, 8, 8, 8, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -8, 8, -8, 8, 8, 8, 8, -8, -8, 8, 8, -8, -8, -8, 8, -8, -8, -8, 8, -8, 8, 8, -8, 8, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 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: 13652721
{'cdim': 1, 'counter': 36, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1aj', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, -8, 8, -8, -8, 8, -8, 8, 8, -8, 8, -8, 8, -8, 8, -8, 8, -8, -8, 8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -8, -8, -8, -8, 8, 8, 8, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -8, -8, 8, -8, -8, -8, 8, 8, 8, 8, -8, -8, 8, -8, -8, 8, 8, 8, -8, 8, -8, 8, -8, 8, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, -2, 2, 2, 2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 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: 13652722
{'cdim': 1, 'counter': 37, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1ak', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, 8, -8, 8, -8, -8, -8, 8, -8, -8, 8, 8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -8, 0, 8, 0, 8, 0, 8, 8, 0, 0, -8, 0, -8, -2, -2, -2, -2, -8, 8, -8, 8, 8, -8, -8, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 8, 0, 0, 0, 0, 0, 8, 0, 0, -8, 0, -8, 0, -8, 0, 0, 0, 0, 0, 0, 0, 8, 8, -8, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -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, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 0, 0, 0, 0, 2, 0, 0, -2, 2, 0, 2, 2, 2, 2, 0, 0, -2, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, -2, 0, 2, -2, -2, 2, 2, -2, 0, 0, 0, 2, 2, -2, -2, 0, -2, -2, -2, 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, 0, 0, 0, -2, -2, 0, 0, -2, 2, -2, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, -2, -2, 0, 0, -2, -2, 0, 0, -2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, -2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652723
{'cdim': 1, 'counter': 38, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1al', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, 8, -8, 8, -8, -8, -8, 8, -8, -8, 8, 8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, -8, 0, -8, 0, -8, -8, 0, 0, 8, 0, 8, -2, -2, -2, -2, -8, 8, -8, 8, 8, -8, -8, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 8, 0, 0, 0, 0, 0, 8, 0, 0, -8, 0, -8, 0, -8, 0, 0, 0, 0, 0, 0, 0, 8, 8, -8, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -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, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, 0, 0, 0, 0, -2, 0, 0, 2, -2, 0, -2, -2, -2, -2, 0, 0, 2, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 2, 0, -2, 2, 2, -2, -2, 2, 0, 0, 0, -2, -2, 2, 2, 0, 2, 2, 2, 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, 0, 0, 0, -2, -2, 0, 0, -2, 2, -2, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, -2, -2, 0, 0, -2, -2, 0, 0, -2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, -2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652724
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id: 13652726
{'cdim': 1, 'counter': 40, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.1an', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, 8, -8, 8, -8, -8, -8, 8, 8, 8, -8, -8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -8, 0, -8, 0, 8, 0, -8, 8, 0, 0, 8, 0, -8, -2, -2, -2, -2, -8, 8, -8, 8, 8, -8, -8, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, -8, 0, 0, 0, 0, 0, -8, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, -8, -8, 8, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 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, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, 0, 0, 0, 0, -2, 0, 0, -2, -2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, -2, 0, 2, -2, 2, -2, -2, 2, 0, 0, 0, -2, -2, -2, 2, 0, -2, -2, -2, 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, 0, 0, 0, 2, 2, 0, 0, 2, -2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, -2, 2, 0, -2, 0, 0, 0, 2, 0, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652744
{'cdim': 2, 'counter': 57, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.2q', 'multiplicity': 4, 'nt': [15, 4], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, 8, 8, -4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -4, -4, -4, -4, -4, -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, -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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 13652745
{'cdim': 2, 'counter': 58, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.2r', 'multiplicity': 4, 'nt': [24, 19], 'qdim': 8, 'qvalues': [8, -8, -8, -8, 8, 8, 8, -8, -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, 8, 8, 8, 8, -4, 4, 4, -4, 4, 4, -4, 8, 8, 8, -8, 8, 8, -8, -8, -8, -8, 8, -8, 8, -8, -8, -8, -8, -8, -8, 8, 8, -8, -8, 8, 8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, -4, -4, 4, 4, 4, -4, 4, 4, -4, 4, -4, -4, 4, 4, 4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652746
{'cdim': 2, 'counter': 59, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.2s', 'multiplicity': 4, 'nt': [24, 19], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 8, -8, -8, 8, -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, 8, 8, 8, 8, 4, 4, -4, -4, 4, -4, 4, -8, 8, 8, 8, -8, -8, -8, 8, 8, 8, -8, -8, -8, 8, -8, -8, -8, 8, -8, 8, 8, -8, 8, -8, -8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, 4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, -4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652748
{'cdim': 2, 'counter': 60, 'faithful': False, 'group': '960.4626', 'group_order': 960, 'image': None, 'label': '960.4626.2t', 'multiplicity': 4, 'nt': [24, 19], 'qdim': 8, 'qvalues': [8, -8, 8, -8, -8, -8, 8, 8, -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, 8, 8, 8, 8, 4, -4, -4, 4, 4, 4, -4, 8, -8, -8, -8, -8, -8, -8, 8, 8, 8, -8, 8, 8, -8, 8, 8, 8, 8, -8, -8, -8, -8, -8, -8, 8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, -4, -4, -4, 4, 4, 4, 4, -4, 4, 4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652749
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id: 13652759
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id: 13652760
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id: 13652761
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id: 13652762
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id: 13652763
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id: 13652764
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id: 13652765
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id: 13652766
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id: 13652767
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id: 13652768
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id: 13652770
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gps_char • Show schema
Hide schema
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id: 32321991
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id: 32322304
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id: 32322305
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id: 32322306
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id: 32322308
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id: 32322309
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id: 32322310
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id: 32322311
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id: 32322312
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id: 32322313
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id: 32322314
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id: 32322315
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id: 32322316
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id: 32322317
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id: 32322319
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id: 32322320
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id: 32322321
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id: 32322322
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id: 32322323
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id: 32322324
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id: 32322325
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id: 32322326
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id: 32322327
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id: 32322328
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id: 32322330
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id: 32322331
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id: 32322332
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id: 32322333
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id: 32322334
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id: 32322335
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id: 32322336
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id: 32322337
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id: 32322338
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id: 32322339
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id: 32322341
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id: 32322342
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id: 32322343
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id: 32322344
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id: 32322345
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id: 32322346
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id: 32322347
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id: 32322348
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id: 32322349
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id: 32322350
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id: 32321993
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id: 32321994
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id: 32321995
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id: 32321996
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id: 32321997
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id: 32321998
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id: 32321999
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id: 32322000
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id: 32322001
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id: 32322002
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id: 32322004
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id: 32322005
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id: 32322006
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id: 32322007
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id: 32322008
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id: 32322009
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id: 32322010
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id: 32322011
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id: 32322012
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id: 32322013
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id: 32322015
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id: 32322016
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id: 32322017
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id: 32322018
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id: 32322019
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id: 32322020
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id: 32322021
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id: 32322022
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id: 32322023
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id: 32322024
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id: 32322026
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id: 32322027
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id: 32322028
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id: 32322029
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id: 32322030
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id: 32322031
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id: 32322032
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id: 32322033
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id: 32322034
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id: 32322035
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id: 32322037
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id: 32322038
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id: 32322039
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id: 32322040
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id: 32322041
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id: 32322042
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id: 32322043
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id: 32322044
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id: 32322045
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id: 32322046
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id: 32322048
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id: 32322049
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id: 32322050
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id: 32322051
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id: 32322052
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id: 32322053
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id: 32322054
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id: 32322055
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id: 32322056
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id: 32322057
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id: 32322059
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id: 32322102
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id: 32322213
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id: 32322285
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id: 32322296
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id: 32322307
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id: 32322318
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id: 32322329
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id: 32322340
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id: 32321992
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id: 32322003
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id: 32322014
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id: 32322025
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id: 32322036
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id: 32322047
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id: 32322058
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id: 32322069
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id: 32322080
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id: 32322091
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id: 32322103
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id: 32322114
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id: 32322125
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id: 32322136
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id: 32322147
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id: 32322158
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id: 32322169
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id: 32322180
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id: 32322191
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id: 32322202
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id: 32322214
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id: 32322225
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id: 32322236
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id: 32322247
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id: 32322258
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id: 32322269
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id: 32322280
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id: 32322282
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id: 32322283
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id: 32322284
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id: 32322286
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id: 32322287
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id: 32322288
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id: 32322289
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id: 32322290
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id: 32322291
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id: 32322292
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id: 32322293
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id: 32322294
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id: 32322295
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id: 32322297
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id: 32322298
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id: 32322299
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id: 32322300
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id: 32322301
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id: 32322302
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id: 32322303
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id: 32322060
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id: 32322131
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id: 32322132
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id: 32322133
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id: 32322134
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id: 32322135
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id: 32322137
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id: 32322138
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id: 32322139
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id: 32322140
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id: 32322141
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id: 32322142
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id: 32322143
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id: 32322144
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id: 32322145
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id: 32322146
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id: 32322148
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id: 32322149
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id: 32322150
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id: 32322151
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id: 32322152
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id: 32322153
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id: 32322154
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id: 32322155
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id: 32322156
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id: 32322157
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id: 32322159
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id: 32322160
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id: 32322161
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id: 32322162
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id: 32322163
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id: 32322164
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id: 32322165
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id: 32322166
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id: 32322167
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id: 32322168
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id: 32322170
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id: 32322171
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id: 32322172
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id: 32322173
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id: 32322174
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id: 32322175
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id: 32322176
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id: 32322177
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id: 32322178
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id: 32322179
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id: 32322181
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id: 32322182
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id: 32322183
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id: 32322184
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id: 32322185
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id: 32322186
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id: 32322187
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id: 32322188
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id: 32322189
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id: 32322190
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id: 32322192
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id: 32322193
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id: 32322194
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id: 32322195
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id: 32322196
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id: 32322197
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id: 32322198
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id: 32322199
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id: 32322200
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id: 32322201
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id: 32322203
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id: 32322204
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id: 32322205
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id: 32322206
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id: 32322207
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id: 32322208
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id: 32322209
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id: 32322210
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id: 32322221
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id: 32322222
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id: 32322223
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id: 32322224
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id: 32322226
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id: 32322227
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id: 32322228
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id: 32322211
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id: 32322212
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id: 32322215
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id: 32322216
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id: 32322217
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id: 32322218
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id: 32322219
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id: 32322220
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id: 32322229
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id: 32322239
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id: 32322240
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id: 32322241
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id: 32322242
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id: 32322243
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id: 32322244
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id: 32322245
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id: 32322230
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id: 32322231
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id: 32322232
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id: 32322233
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id: 32322234
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id: 32322235
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id: 32322237
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id: 32322238
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id: 32322246
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id: 32322256
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id: 32322257
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id: 32322259
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id: 32322260
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id: 32322261
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id: 32322262
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id: 32322263
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id: 32322248
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id: 32322249
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id: 32322250
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id: 32322251
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id: 32322252
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id: 32322253
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id: 32322255
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id: 32322264
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id: 32322274
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id: 32322275
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id: 32322276
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id: 32322277
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id: 32322278
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id: 32322279
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id: 32322281
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id: 32322265
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id: 32322266
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id: 32322267
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id: 32322268
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id: 32322270
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id: 32322271
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id: 32322272
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id: 32322273
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id: 32322061
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id: 32322062
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id: 32322063
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id: 32322064
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id: 32322065
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id: 32322066
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id: 32322067
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id: 32322068
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id: 32322070
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id: 32322071
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id: 32322072
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id: 32322073
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id: 32322074
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id: 32322075
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id: 32322076
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id: 32322077
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id: 32322078
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id: 32322079
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id: 32322081
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id: 32322082
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id: 32322083
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id: 32322084
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id: 32322085
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id: 32322086
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id: 32322087
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id: 32322088
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id: 32322089
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id: 32322090
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id: 32322092
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id: 32322093
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id: 32322094
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id: 32322095
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id: 32322096
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id: 32322097
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id: 32322098
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id: 32322099
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id: 32322100
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id: 32322101
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id: 32322104
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id: 32322105
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id: 32322106
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id: 32322107
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id: 32322108
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id: 32322109
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id: 32322110
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id: 32322111
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id: 32322112
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id: 32322113
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id: 32322115
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id: 32322116
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id: 32322117
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id: 32322118
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id: 32322119
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id: 32322120
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id: 32322121
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id: 32322122
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id: 32322123
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id: 32322124
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id: 32322126
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id: 32322127
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id: 32322128
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id: 32322129
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id: 32322130
{'center': '6.a1', 'center_index': 6, 'center_order': 160, 'counter': 224, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.4626', 'group_counter': 4626, 'group_order': 960, 'image': None, 'image_isoclass': '60.1', 'image_order': 60, 'indicator': 0, 'kernel': '60.c1', 'kernel_order': 16, 'label': '960.4626.2z4', 'nt': [60, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-2, 1]], [[-2, 2]], [[2, 1]], [[-2, -2]], [[-2, 2]], [[2, 1]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[2, -2]], [[2, -2]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, -1]], [[2, -1]], [[-2, -1]], [[-2, -2]], [[2, -2]], [[2, -1]], [[-2, 1]], [[2, 2]], [[2, 2]], [[2, 2]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-2, -1]], [[-2, 2]], [[-2, 1]], [[2, -2]], [[2, -1]], [[-2, 1]], [[-2, 2]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 1]], [[-2, -2]], [[-2, -2]], [[-2, -2]], [[2, -2]], [[-2, 2]], [[-2, 1]], [[-2, 2]], [[2, 2]], [[-2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, 2]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, 2]], [[-2, -1]], [[2, -2]], [[2, -2]], [[-2, 2]], [[-2, -2]], [[2, 2]], [[2, 2]], [[-2, -2]], [[2, 1]], [[2, -1]], [[-2, 2]], [[-2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[-2, -2]], [[-2, -2]], [[2, -2]], [[2, 1]], [[-2, -1]], [[2, 1]], [[2, 2]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -2]], [[-1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 2]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 113619713
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': True, 'core_order': 960, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '960.4626.1.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': '960.4626', 'subgroup_hash': 4626, 'subgroup_order': 960, 'subgroup_tex': 'C_{60}.C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 113619729
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 480, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.2.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: 113619740
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 480, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.2.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': '480.801', 'subgroup_hash': 801, 'subgroup_order': 480, 'subgroup_tex': 'C_{30}:C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 113619751
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': True, 'centralizer_order': 80, 'characteristic': False, 'core_order': 480, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.2.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': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.150', 'subgroup_hash': 150, 'subgroup_order': 480, 'subgroup_tex': 'C_{30}.C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 113619762
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 160, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '960.4626.3.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '320.877', 'subgroup_hash': 877, 'subgroup_order': 320, 'subgroup_tex': 'C_4^2:C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 113619773
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 240, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.56', 'subgroup_hash': 56, 'subgroup_order': 240, 'subgroup_tex': 'C_{12}:C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 113619784
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 240, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.4.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': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.185', 'subgroup_hash': 185, 'subgroup_order': 240, 'subgroup_tex': 'C_2^2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 113619795
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 240, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.185', 'subgroup_hash': 185, 'subgroup_order': 240, 'subgroup_tex': 'C_2^2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 113619806
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 240, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.173', 'subgroup_hash': 173, 'subgroup_order': 240, 'subgroup_tex': 'C_{30}.C_2^3', 'supersolvable': True, 'sylow': 0}
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id: 113619714
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 240, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', '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': '240.81', 'subgroup_hash': 81, 'subgroup_order': 240, 'subgroup_tex': 'C_4\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 113619720
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': True, 'centralizer_order': 80, 'characteristic': True, 'core_order': 192, 'counter': 11, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '960.4626.5.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.491', 'subgroup_hash': 491, 'subgroup_order': 192, 'subgroup_tex': 'C_{12}.C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 113619721
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 160, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.175', 'subgroup_hash': 175, 'subgroup_order': 160, 'subgroup_tex': 'C_2\\times C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 113619722
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 80, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.175', 'subgroup_hash': 175, 'subgroup_order': 160, 'subgroup_tex': 'C_2\\times C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 113619723
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 80, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.45', 'subgroup_hash': 45, 'subgroup_order': 160, 'subgroup_tex': 'C_{10}.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113619724
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, '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': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113619725
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 120, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.24', 'subgroup_hash': 24, 'subgroup_order': 120, 'subgroup_tex': 'C_6:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113619726
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 120, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', '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': ['S', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.47', 'subgroup_hash': 47, 'subgroup_order': 120, 'subgroup_tex': 'C_2^2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113619727
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.8.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: 113619728
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 120, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.8.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: 113619730
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113619731
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 60, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 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': '120.24', 'subgroup_hash': 24, 'subgroup_order': 120, 'subgroup_tex': 'C_6:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113619732
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 96, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.10.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.161', 'subgroup_hash': 161, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113619733
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 96, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.10.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.129', 'subgroup_hash': 129, 'subgroup_order': 96, 'subgroup_tex': 'C_6:C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113619734
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': True, 'centralizer_order': 80, 'characteristic': False, 'core_order': 96, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.10.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.38', 'subgroup_hash': 38, 'subgroup_order': 96, 'subgroup_tex': 'C_6.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113619735
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 80, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], '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: 113619736
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 80, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.12.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': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113619737
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 80, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.12.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': '12.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 113619738
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 40, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113619739
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 40, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.45', 'subgroup_hash': 45, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113619741
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 32, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '960.4626.15.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': '64.57', 'subgroup_hash': 57, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 2}
-
id: 113619742
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.16.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': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113619743
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.16.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': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113619744
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 60, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113619745
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 34, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4626.16.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: 113619746
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 30, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.1', 'subgroup_hash': 1, 'subgroup_order': 60, 'subgroup_tex': 'C_3:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113619747
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 36, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4626.16.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': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113619748
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 48, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.20.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.11', 'subgroup_hash': 11, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113619749
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 48, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.20.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': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 113619750
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 48, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.20.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113619752
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 48, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.20.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.42', 'subgroup_hash': 42, 'subgroup_order': 48, 'subgroup_tex': 'C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 113619753
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 48, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.20.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': '20.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113619754
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 40, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113619755
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 40, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113619756
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 40, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.24.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': '24.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:C_4', '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: 113619757
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 40, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.24.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': '24.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:C_4', '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: 113619758
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 20, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113619759
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113619760
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 20, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.24.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113619761
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 32, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.30.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '30.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113619763
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 16, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.30.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': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113619764
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 16, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.30.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.2', 'subgroup_hash': 2, 'subgroup_order': 32, 'subgroup_tex': 'C_2.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113619765
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 52, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4626.32.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': '32.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_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: 113619766
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 30, 'counter': 53, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4626.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.21', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113619767
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 54, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4626.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_2', '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: 113619768
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 24, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.40.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113619769
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 24, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.40.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '40.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113619770
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 24, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.40.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '40.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113619771
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 24, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.40.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': '40.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113619772
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 24, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.40.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': '40.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113619774
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.40.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.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': 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: 113619775
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 12, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.40.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113619776
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 20, 'counter': 62, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.48.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': '48.35', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 35, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113619777
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 20, 'counter': 63, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.48.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': '48.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113619778
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 20, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.48.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': '48.42', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6.C_2^3', '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: 113619779
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 20, 'counter': 65, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4626.48.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': '48.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:C_4', '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: 113619780
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 10, 'counter': 66, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4626.48.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113619781
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 67, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4626.48.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': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 113619782
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 16, 'counter': 68, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.60.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 113619783
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 16, 'counter': 69, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.60.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '60.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113619785
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 16, 'counter': 70, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.60.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': '60.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113619786
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 8, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.60.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.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': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113619787
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 8, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.60.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113619788
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 15, 'counter': 73, 'cyclic': True, 'direct': False, 'hall': 15, 'label': '960.4626.64.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': '64.57', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 57, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_4', '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}
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id: 113619789
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 74, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.80.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': '80.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113619790
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 75, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.80.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': '80.48', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 48, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 113619791
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 12, 'counter': 76, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.80.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '80.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 113619792
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 77, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4626.80.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': '80.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113619793
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 6, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.80.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113619794
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 79, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4626.80.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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113619796
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 10, 'counter': 80, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4626.96.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': '96.79', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 79, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113619797
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 10, 'counter': 81, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4626.96.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': '96.129', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 129, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113619798
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 10, 'counter': 82, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4626.96.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.133', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 133, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
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id: 113619799
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 8, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.120.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.22', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 22, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 113619800
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 8, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.120.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '120.45', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times D_6', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], '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: 113619801
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 8, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.120.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': '120.24', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 113619802
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 8, 'counter': 86, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.120.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': '120.24', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 113619803
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 4, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.120.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113619804
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.120.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113619805
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 4, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4626.120.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 113619807
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 90, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4626.160.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': '160.178', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 178, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_{10}', '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: 113619808
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 6, 'counter': 91, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4626.160.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': '160.175', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 175, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 113619809
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 92, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4626.160.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '160.178', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 178, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_{10}', '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: 113619810
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 5, 'counter': 93, 'cyclic': True, 'direct': True, 'hall': 5, 'label': '960.4626.192.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': '192.491', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 491, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}.C_4^2', 'simple': True, 'solvable': True, 'special_labels': ['C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
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id: 113619811
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 4, 'counter': 94, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.240.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': '240.166', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 166, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 113619812
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 4, 'counter': 95, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.240.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': '240.168', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 168, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_{10}', '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: 113619813
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 4, 'counter': 96, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4626.240.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': '240.173', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 173, '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: 113619814
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 4, 'counter': 97, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4626.240.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': '240.56', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 56, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 113619815
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 160, 'characteristic': False, 'core_order': 2, 'counter': 98, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4626.240.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 113619816
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 99, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4626.240.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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 113619715
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 3, 'counter': 100, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '960.4626.320.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': '320.877', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 877, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 320, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:C_{20}', 'simple': True, 'solvable': True, 'special_labels': ['L2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
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id: 113619716
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 2, 'counter': 101, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4626.480.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': '480.751', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 751, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times C_4^2:S_3', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 113619717
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 2, 'counter': 102, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4626.480.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': '480.801', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 801, '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: 113619718
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 2, 'counter': 103, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4626.480.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '480.805', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 805, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_{12}):C_{20}', '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: 113619719
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4626', 'ambient_counter': 4626, 'ambient_order': 960, 'ambient_tex': 'C_{60}.C_4^2', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 1, 'counter': 104, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '960.4626.960.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': '960.4626', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4626, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 960, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{60}.C_4^2', '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: 113619730
{'ambient': '960.4626', 'aut_centralizer_order': 192, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '64.196', 'aut_weyl_index': 1536, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.c1'], 'contains': ['16.b1', '16.f1', '24.f1', '40.f1'], 'core': '16.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [2399, -1, 1354, -1], 'generators': [2, 640, 192, 252, 488], 'label': '960.4626.8.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.f1', 'projective_image': '48.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 113619731
{'ambient': '960.4626', 'aut_centralizer_order': 64, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '96.206', 'aut_weyl_index': 1024, 'centralizer': '12.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.d1'], 'contains': ['16.b1', '16.e1', '24.g1', '40.g1'], 'core': '16.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [9544, -1, 6743, -1], 'generators': [5, 192, 10, 480, 640], 'label': '960.4626.8.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.g1', 'projective_image': '48.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
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id: 113619713
{'ambient': '960.4626', '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': '12.a1', 'complements': ['960.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '3.a1', '5.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4037, 6753, 5868, 5115], 'generators': [1, 2, 480, 240, 8, 640, 4, 192], 'label': '960.4626.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '5.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '12.4', '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': '12.4'}
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id: 113619714
{'ambient': '960.4626', 'aut_centralizer_order': 96, 'aut_label': '4.e1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '256.27015', 'aut_weyl_index': 384, 'centralizer': '2.a1', 'complements': ['240.e1'], 'conjugacy_class_count': 4, 'contained_in': ['2.a1'], 'contains': ['8.d1', '8.e1', '12.c1', '20.e1'], 'core': '4.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [631, 8232, 2222, 8299], 'generators': [4, 480, 640, 192, 240, 8], 'label': '960.4626.4.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.e1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.d1', '8.e1', '12.c1', '20.e1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': '24.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619715
{'ambient': '960.4626', 'aut_centralizer_order': 49152, 'aut_label': '320.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '2.a1', 'complements': ['3.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '160.a1', '160.b1', '160.c1'], 'contains': ['960.a1'], 'core': '320.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5567, 1642, 5064, 2860], 'generators': [640], 'label': '960.4626.320.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '320.a1', 'normal_contained_in': ['64.a1', '160.a1', '160.b1', '160.c1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '320.a1', 'projective_image': '960.4626', 'quotient_action_image': '2.1', 'quotient_action_kernel': '160.175', 'quotient_action_kernel_order': 160, 'quotient_fusion': None, 'short_label': '320.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619716
{'ambient': '960.4626', 'aut_centralizer_order': 24576, 'aut_label': '480.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 98304, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['96.a1', '160.a1', '240.a1', '240.b1', '240.e1'], 'contains': ['960.a1'], 'core': '480.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6173, 1408, 5958, 2570], 'generators': [2], 'label': '960.4626.480.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.a1', 'normal_contained_in': ['96.a1', '160.a1', '240.a1', '240.b1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.a1', 'projective_image': '480.751', 'quotient_action_image': '1.1', 'quotient_action_kernel': '480.751', 'quotient_action_kernel_order': 480, 'quotient_fusion': None, 'short_label': '480.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619717
{'ambient': '960.4626', 'aut_centralizer_order': 98304, 'aut_label': '480.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 98304, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.b1', '160.b1', '240.a1', '240.c1', '240.d1'], 'contains': ['960.a1'], 'core': '480.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4247, 2687, 5447, 3440], 'generators': [8], 'label': '960.4626.480.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.b1', 'normal_contained_in': ['96.b1', '160.b1', '240.a1', '240.c1', '240.d1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.b1', 'projective_image': '480.801', 'quotient_action_image': '1.1', 'quotient_action_kernel': '480.801', 'quotient_action_kernel_order': 480, 'quotient_fusion': None, 'short_label': '480.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619718
{'ambient': '960.4626', 'aut_centralizer_order': 49152, 'aut_label': '480.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 98304, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['96.c1', '160.c1', '240.b1', '240.c1', '240.f1'], 'contains': ['960.a1'], 'core': '480.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [2886, 4514, 3614, 4314], 'generators': [480], 'label': '960.4626.480.c1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '480.c1', 'normal_contained_in': ['96.c1', '160.c1', '240.b1', '240.c1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '480.c1', 'projective_image': '480.805', 'quotient_action_image': '1.1', 'quotient_action_kernel': '480.805', 'quotient_action_kernel_order': 480, 'quotient_fusion': None, 'short_label': '480.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619719
{'ambient': '960.4626', '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': [4410, 1642, 5256, 3150], 'generators': [], 'label': '960.4626.960.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '960.a1', 'normal_contained_in': ['192.a1', '320.a1', '480.a1', '480.b1', '480.c1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '960.a1', 'projective_image': '960.4626', '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: 113619720
{'ambient': '960.4626', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24576.bej', 'aut_weyl_index': 4, 'centralizer': '12.a1', 'complements': ['192.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['10.a1', '10.b1', '10.c1', '15.a1'], 'core': '5.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3707, 7085, 5868, 5489], 'generators': [1, 480, 8, 4, 640, 240, 2], 'label': '960.4626.5.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['10.a1', '10.b1', '10.c1'], 'normalizer': '1.a1', 'old_label': '5.a1', 'projective_image': '60.11', 'quotient_action_image': '1.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '5.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 113619721
{'ambient': '960.4626', 'aut_centralizer_order': 48, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2048.cqk', 'aut_weyl_index': 48, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.b1', '12.c1', '30.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [744, 8783, 4263, 7490], 'generators': [2, 480, 720, 192, 4, 8], 'label': '960.4626.6.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['12.a1', '12.b1', '12.c1', '30.a1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '12.4', '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: 113619722
{'ambient': '960.4626', 'aut_centralizer_order': 16, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1024.djp', 'aut_weyl_index': 96, 'centralizer': '6.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.a1', '12.d1', '12.e1', '30.b1'], 'core': '12.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7502, -1, 8097, -1], 'generators': [89, 8, 480, 192, 4, 490], 'label': '960.4626.6.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.b1', 'projective_image': '12.4', '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': '2.1'}
-
id: 113619723
{'ambient': '960.4626', 'aut_centralizer_order': 16, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '512.514818', 'aut_weyl_index': 192, 'centralizer': '12.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.c1', '3.a1'], 'contains': ['12.b1', '12.e1', '30.c1'], 'core': '12.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [4547, -1, 5868, -1], 'generators': [5, 480, 192, 10, 720, 8], 'label': '960.4626.6.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.c1', 'projective_image': '24.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 113619724
{'ambient': '960.4626', 'aut_centralizer_order': 384, 'aut_label': '8.a1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '64.196', 'aut_weyl_index': 1536, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '4.b1'], 'contains': ['16.a1', '16.d1', '24.a1', '40.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6056, 2054, 5961, 1983], 'generators': [2, 640, 192, 4, 8], 'label': '960.4626.8.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1'], 'normal_contains': ['16.a1', '16.d1', '24.a1', '40.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '24.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619725
{'ambient': '960.4626', 'aut_centralizer_order': 128, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '96.206', 'aut_weyl_index': 1024, 'centralizer': '12.a1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['4.a1', '4.d1'], 'contains': ['16.a1', '16.e1', '24.e1', '40.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [8953, 1268, 8670, 594], 'generators': [5, 192, 10, 8, 640], 'label': '960.4626.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.d1'], 'normal_contains': ['16.a1', '40.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 113619726
{'ambient': '960.4626', 'aut_centralizer_order': 1536, 'aut_label': '8.c1', 'aut_quo_index': 21, 'aut_stab_index': 1, 'aut_weyl_group': '64.196', 'aut_weyl_index': 1536, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '4.c1', '4.d1'], 'contains': ['16.a1', '16.b1', '16.c1', '24.b1', '40.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5409, 4692, 4518, 3440], 'generators': [2, 480, 640, 8, 192], 'label': '960.4626.8.c1', 'mobius_quo': -8, 'mobius_sub': -8, 'normal_closure': '8.c1', 'normal_contained_in': ['4.b1', '4.c1', '4.d1'], 'normal_contains': ['16.a1', '16.b1', '16.c1', '24.b1', '40.c1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '24.14', '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: 113619727
{'ambient': '960.4626', 'aut_centralizer_order': 768, 'aut_label': '8.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '64.196', 'aut_weyl_index': 1536, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '4.e1'], 'contains': ['16.c1', '16.d1', '24.c1', '40.d1'], 'core': '8.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [3259, 6048, 4055, 5622], 'generators': [4, 640, 192, 480, 8], 'label': '960.4626.8.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': ['4.b1', '4.e1'], 'normal_contains': ['16.c1', '16.d1', '24.c1', '40.d1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '24.7', '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: 113619728
{'ambient': '960.4626', 'aut_centralizer_order': 768, 'aut_label': '8.e1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '32.45', 'aut_weyl_index': 3072, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '4.e1'], 'contains': ['16.c1', '16.f1', '24.d1', '40.e1'], 'core': '8.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [1662, 7446, 897, 7764], 'generators': [252, 640, 192, 480, 488], 'label': '960.4626.8.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': ['4.c1', '4.e1'], 'normal_contains': ['16.c1', '24.d1', '40.e1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': '48.42', '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: 113619729
{'ambient': '960.4626', 'aut_centralizer_order': 24, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '4.e1', '6.a1', '10.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1150, 7921, 3946, 6403], 'generators': [2, 8, 240, 640, 4, 480, 192], 'label': '960.4626.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '4.e1', '6.a1', '10.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '12.4', '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: 113619732
{'ambient': '960.4626', 'aut_centralizer_order': 96, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1024.djn', 'aut_weyl_index': 96, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '5.a1'], 'contains': ['20.b1', '20.c1', '20.e1', '30.a1'], 'core': '10.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1555, 9709, 3630, 6532], 'generators': [2, 480, 8, 4, 240, 640], 'label': '960.4626.10.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1', 'normal_contained_in': ['2.a1', '5.a1'], 'normal_contains': ['20.b1', '20.c1', '20.e1', '30.a1'], 'normalizer': '1.a1', 'old_label': '10.a1', 'projective_image': '60.11', '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: 113619733
{'ambient': '960.4626', 'aut_centralizer_order': 32, 'aut_label': '10.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1536.196146507', 'aut_weyl_index': 64, 'centralizer': '12.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '5.a1'], 'contains': ['20.a1', '20.b1', '20.d1', '30.b1'], 'core': '10.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [6954, 4272, 7459, 3521], 'generators': [89, 640, 8, 4, 480, 490], 'label': '960.4626.10.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1', 'normal_contained_in': ['2.b1', '5.a1'], 'normal_contains': ['20.a1', '20.b1', '20.d1'], 'normalizer': '1.a1', 'old_label': '10.b1', 'projective_image': '60.11', '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': '12.4'}
-
id: 113619734
{'ambient': '960.4626', 'aut_centralizer_order': 32, 'aut_label': '10.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '768.375391', 'aut_weyl_index': 128, 'centralizer': '12.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.c1', '5.a1'], 'contains': ['20.c1', '20.d1', '30.c1'], 'core': '10.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [4469, 7016, 5431, 5030], 'generators': [5, 640, 480, 240, 10, 8], 'label': '960.4626.10.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.c1', 'normal_contained_in': ['2.c1', '5.a1'], 'normal_contains': ['20.c1', '20.d1'], 'normalizer': '1.a1', 'old_label': '10.c1', 'projective_image': '120.45', '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': '12.4'}
-
id: 113619735
{'ambient': '960.4626', 'aut_centralizer_order': 384, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '256.14467', 'aut_weyl_index': 384, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '6.a1', '6.b1'], 'contains': ['24.a1', '24.b1', '24.c1', '60.a1'], 'core': '12.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4209, 5823, 5498, 4921], 'generators': [2, 480, 192, 4, 8], 'label': '960.4626.12.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.a1', 'normal_contained_in': ['4.b1', '6.a1'], 'normal_contains': ['24.a1', '24.b1', '24.c1', '60.a1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '12.4', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.4', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619736
{'ambient': '960.4626', 'aut_centralizer_order': 384, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '128.1031', 'aut_weyl_index': 768, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '6.a1', '6.c1'], 'contains': ['24.b1', '24.d1', '24.f1', '60.b1'], 'core': '12.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [829, 8027, 3175, 7063], 'generators': [2, 480, 192, 724, 488], 'label': '960.4626.12.b1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.b1', 'normal_contained_in': ['4.c1', '6.a1'], 'normal_contains': ['24.b1', '24.d1', '60.b1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '24.14', '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: 113619737
{'ambient': '960.4626', 'aut_centralizer_order': 192, 'aut_label': '12.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '128.1031', 'aut_weyl_index': 768, 'centralizer': '2.a1', 'complements': ['80.e1'], 'conjugacy_class_count': 4, 'contained_in': ['4.e1', '6.a1'], 'contains': ['24.c1', '24.d1', '60.c1'], 'core': '12.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [211, 8767, 2222, 9708], 'generators': [4, 192, 8, 720, 480], 'label': '960.4626.12.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': ['4.e1', '6.a1'], 'normal_contains': ['24.c1', '24.d1', '60.c1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '24.7', '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: 113619738
{'ambient': '960.4626', 'aut_centralizer_order': 32, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '128.1031', 'aut_weyl_index': 768, 'centralizer': '6.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.a1', '6.b1'], 'contains': ['24.a1', '24.e1', '60.d1'], 'core': '24.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7828, -1, 9588, -1], 'generators': [89, 192, 490, 4, 8], 'label': '960.4626.12.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.d1', 'projective_image': '24.5', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619739
{'ambient': '960.4626', 'aut_centralizer_order': 128, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '64.196', 'aut_weyl_index': 1536, 'centralizer': '6.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.d1', '6.b1', '6.c1'], 'contains': ['24.b1', '24.e1', '24.g1', '60.e1'], 'core': '24.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [8667, -1, 7746, -1], 'generators': [5, 480, 192, 8, 10], 'label': '960.4626.12.e1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.e1', 'projective_image': '24.14', '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': '2.1'}
-
id: 113619740
{'ambient': '960.4626', 'aut_centralizer_order': 8, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '12.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.d1', '6.b1', '10.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [6933, 4162, 7222, 3521], 'generators': [89, 8, 480, 192, 4, 640, 490], 'label': '960.4626.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.d1', '10.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '12.4', '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': '12.4'}
-
id: 113619741
{'ambient': '960.4626', 'aut_centralizer_order': 8, 'aut_label': '15.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4096.bqu', 'aut_weyl_index': 24, 'centralizer': '12.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '5.a1'], 'contains': ['30.a1', '30.b1', '30.c1'], 'core': '30.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3664, -1, 6269, -1], 'generators': [1, 4, 720], 'label': '960.4626.15.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '5.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '15.a1', 'projective_image': '60.11', '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'}
-
id: 113619742
{'ambient': '960.4626', 'aut_centralizer_order': 3072, 'aut_label': '16.a1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 6144, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.b1', '8.c1'], 'contains': ['32.a1', '32.b1', '48.a1', '80.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6316, 788, 6102, 964], 'generators': [2, 640, 192, 8], 'label': '960.4626.16.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1'], 'normal_contains': ['32.a1', '32.b1', '48.a1', '80.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '48.35', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619743
{'ambient': '960.4626', 'aut_centralizer_order': 1536, 'aut_label': '16.b1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 6144, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.c1', '8.f1', '8.g1'], 'contains': ['32.a1', '32.c1', '48.b1', '80.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [5247, 3261, 4103, 3291], 'generators': [2, 640, 192, 480], 'label': '960.4626.16.b1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.c1'], 'normal_contains': ['32.a1', '32.c1', '48.b1', '80.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '48.37', '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: 113619744
{'ambient': '960.4626', 'aut_centralizer_order': 6144, 'aut_label': '16.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 6144, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '8.d1', '8.e1'], 'contains': ['32.b1', '32.c1', '48.c1', '80.c1'], 'core': '16.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3253, 3954, 2802, 5324], 'generators': [8, 640, 192, 480], 'label': '960.4626.16.c1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': ['8.c1', '8.d1', '8.e1'], 'normal_contains': ['32.b1', '32.c1', '48.c1', '80.c1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '48.42', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619745
{'ambient': '960.4626', 'aut_centralizer_order': 1536, 'aut_label': '16.d1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 6144, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.a1', '8.d1'], 'contains': ['32.b1', '48.d1', '80.d1'], 'core': '16.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [4768, 2025, 5766, 2784], 'generators': [4, 192, 8, 640], 'label': '960.4626.16.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': ['8.a1', '8.d1'], 'normal_contains': ['32.b1', '48.d1', '80.d1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': '48.11', '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: 113619746
{'ambient': '960.4626', 'aut_centralizer_order': 128, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '48.35', 'aut_weyl_index': 2048, 'centralizer': '12.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.b1', '8.g1'], 'contains': ['32.a1', '48.e1', '80.e1'], 'core': '32.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [9544, -1, 8704, -1], 'generators': [5, 10, 640, 192], 'label': '960.4626.16.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.e1', 'projective_image': '96.79', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
-
id: 113619747
{'ambient': '960.4626', 'aut_centralizer_order': 768, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '16.10', 'aut_weyl_index': 6144, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.e1', '8.f1'], 'contains': ['32.c1', '48.f1', '80.f1'], 'core': '32.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [2251, -1, 93, -1], 'generators': [252, 192, 488, 640], 'label': '960.4626.16.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.f1', 'projective_image': '96.133', '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: 113619748
{'ambient': '960.4626', 'aut_centralizer_order': 64, 'aut_label': '20.a1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '192.1147', 'aut_weyl_index': 512, 'centralizer': '12.a1', 'complements': ['48.f1', '48.e1'], 'conjugacy_class_count': 8, 'contained_in': ['4.a1', '10.b1'], 'contains': ['40.a1', '40.b1', '60.d1'], 'core': '20.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [8292, 2942, 9149, 1318], 'generators': [89, 640, 4, 490, 8], 'label': '960.4626.20.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.a1', 'normal_contained_in': ['4.a1', '10.b1'], 'normal_contains': ['40.a1', '40.b1'], 'normalizer': '1.a1', 'old_label': '20.a1', 'projective_image': '120.22', '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': '12.4'}
-
id: 113619749
{'ambient': '960.4626', 'aut_centralizer_order': 768, 'aut_label': '20.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '128.1755', 'aut_weyl_index': 768, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '10.a1', '10.b1'], 'contains': ['40.a1', '40.c1', '40.d1', '60.a1'], 'core': '20.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5771, 6783, 5008, 4181], 'generators': [2, 8, 4, 480, 640], 'label': '960.4626.20.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.b1', 'normal_contained_in': ['4.b1', '10.a1', '10.b1'], 'normal_contains': ['40.a1', '40.c1', '40.d1', '60.a1'], 'normalizer': '1.a1', 'old_label': '20.b1', 'projective_image': '60.11', '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: 113619750
{'ambient': '960.4626', 'aut_centralizer_order': 768, 'aut_label': '20.c1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '10.a1', '10.c1'], 'contains': ['40.c1', '40.e1', '40.f1', '60.b1'], 'core': '20.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [2192, 9663, 2685, 6322], 'generators': [2, 488, 252, 480, 640], 'label': '960.4626.20.c1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.c1', 'normal_contained_in': ['4.c1', '10.a1', '10.c1'], 'normal_contains': ['40.c1', '40.e1', '60.b1'], 'normalizer': '1.a1', 'old_label': '20.c1', 'projective_image': '120.45', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619751
{'ambient': '960.4626', 'aut_centralizer_order': 8, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 32, 'centralizer': '12.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['4.c1', '4.d1', '6.c1', '10.c1'], 'core': '2.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [4477, 6481, 5375, 4744], 'generators': [5, 480, 192, 10, 240, 640, 8], 'label': '960.4626.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.c1', '4.d1', '10.c1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '24.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 113619752
{'ambient': '960.4626', 'aut_centralizer_order': 256, 'aut_label': '20.d1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1024, 'centralizer': '12.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.d1', '10.b1', '10.c1'], 'contains': ['40.b1', '40.c1', '40.g1', '60.e1'], 'core': '20.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [7665, 4663, 7251, 2691], 'generators': [5, 640, 8, 480, 10], 'label': '960.4626.20.d1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '20.d1', 'normal_contained_in': ['4.d1', '10.b1', '10.c1'], 'normal_contains': ['40.b1', '40.c1'], 'normalizer': '1.a1', 'old_label': '20.d1', 'projective_image': '120.45', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 113619753
{'ambient': '960.4626', 'aut_centralizer_order': 384, 'aut_label': '20.e1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1536, 'centralizer': '2.a1', 'complements': ['48.e1'], 'conjugacy_class_count': 4, 'contained_in': ['4.e1', '10.a1'], 'contains': ['40.d1', '40.e1', '60.c1'], 'core': '20.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [910, 8763, 1788, 9052], 'generators': [4, 480, 240, 640, 8], 'label': '960.4626.20.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.e1', 'normal_contained_in': ['4.e1', '10.a1'], 'normal_contains': ['40.d1', '40.e1', '60.c1'], 'normalizer': '1.a1', 'old_label': '20.e1', 'projective_image': '120.24', '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: 113619754
{'ambient': '960.4626', 'aut_centralizer_order': 768, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '32.25', 'aut_weyl_index': 3072, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.a1', '12.a1', '12.d1'], 'contains': ['48.a1', '48.d1', '120.a1'], 'core': '24.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6831, 1433, 6969, 2277], 'generators': [2, 192, 8, 4], 'label': '960.4626.24.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.a1'], 'normal_contains': ['48.a1', '48.d1', '120.a1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '24.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.5', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619755
{'ambient': '960.4626', 'aut_centralizer_order': 3072, 'aut_label': '24.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '32.25', 'aut_weyl_index': 3072, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '12.a1', '12.b1', '12.e1'], 'contains': ['48.a1', '48.b1', '48.c1', '120.b1'], 'core': '24.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4681, 4977, 4984, 4623], 'generators': [2, 480, 192, 8], 'label': '960.4626.24.b1', 'mobius_quo': 8, 'mobius_sub': 24, 'normal_closure': '24.b1', 'normal_contained_in': ['8.c1', '12.a1', '12.b1'], 'normal_contains': ['48.a1', '48.b1', '48.c1', '120.b1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '24.14', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.14', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619756
{'ambient': '960.4626', 'aut_centralizer_order': 1536, 'aut_label': '24.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.25', 'aut_weyl_index': 3072, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '12.a1', '12.c1'], 'contains': ['48.c1', '48.d1', '120.c1'], 'core': '24.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [2606, 5878, 3670, 7268], 'generators': [4, 192, 8, 480], 'label': '960.4626.24.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': ['8.d1', '12.a1', '12.c1'], 'normal_contains': ['48.c1', '48.d1', '120.c1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '24.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.7', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619757
{'ambient': '960.4626', 'aut_centralizer_order': 1536, 'aut_label': '24.d1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 6144, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.e1', '12.b1', '12.c1'], 'contains': ['48.c1', '48.f1', '120.d1'], 'core': '24.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [211, 7844, 862, 9213], 'generators': [724, 192, 488, 480], 'label': '960.4626.24.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': ['8.e1', '12.b1', '12.c1'], 'normal_contains': ['48.c1', '120.d1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': '48.42', '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: 113619758
{'ambient': '960.4626', 'aut_centralizer_order': 256, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '16.10', 'aut_weyl_index': 6144, 'centralizer': '6.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.b1', '12.d1', '12.e1'], 'contains': ['48.a1', '48.e1', '120.e1'], 'core': '48.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8953, -1, 9588, -1], 'generators': [5, 192, 10, 8], 'label': '960.4626.24.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.e1', 'projective_image': '48.35', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619759
{'ambient': '960.4626', 'aut_centralizer_order': 384, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '32.25', 'aut_weyl_index': 3072, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.f1', '12.b1'], 'contains': ['48.b1', '48.f1', '120.f1'], 'core': '48.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [1353, -1, 1730, -1], 'generators': [2, 192, 488, 724], 'label': '960.4626.24.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.f1', 'projective_image': '48.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619760
{'ambient': '960.4626', 'aut_centralizer_order': 128, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '16.10', 'aut_weyl_index': 6144, 'centralizer': '6.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.g1', '12.e1'], 'contains': ['48.b1', '48.e1', '120.g1'], 'core': '48.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [9567, -1, 7847, -1], 'generators': [5, 192, 10, 480], 'label': '960.4626.24.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.g1', 'projective_image': '48.37', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619761
{'ambient': '960.4626', 'aut_centralizer_order': 192, 'aut_label': '30.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '512.51562', 'aut_weyl_index': 192, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '10.a1', '15.a1'], 'contains': ['60.a1', '60.b1', '60.c1'], 'core': '30.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [698, 9353, 3630, 8408], 'generators': [2, 4, 720], 'label': '960.4626.30.a1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '30.a1', 'normal_contained_in': ['6.a1', '10.a1'], 'normal_contains': ['60.a1', '60.b1', '60.c1'], 'normalizer': '1.a1', 'old_label': '30.a1', 'projective_image': '60.11', '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: 113619762
{'ambient': '960.4626', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '12.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '6.c1', '15.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4037, -1, 6323, -1], 'generators': [1, 8, 720, 192, 4, 480, 2], 'label': '960.4626.3.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '3.a1', 'projective_image': '12.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
-
id: 113619763
{'ambient': '960.4626', 'aut_centralizer_order': 64, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '256.16888', 'aut_weyl_index': 384, 'centralizer': '6.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.b1', '10.b1', '15.a1'], 'contains': ['60.a1', '60.d1', '60.e1'], 'core': '60.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7487, -1, 8201, -1], 'generators': [89, 4, 480], 'label': '960.4626.30.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '30.b1', 'projective_image': '60.11', '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': '2.1'}
-
id: 113619764
{'ambient': '960.4626', 'aut_centralizer_order': 64, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.1578', 'aut_weyl_index': 768, 'centralizer': '12.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.c1', '10.c1', '15.a1'], 'contains': ['60.b1', '60.e1'], 'core': '60.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [4017, -1, 6328, -1], 'generators': [5, 720], 'label': '960.4626.30.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '10.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '30.c1', 'projective_image': '120.45', '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': '4.2'}
-
id: 113619765
{'ambient': '960.4626', 'aut_centralizer_order': 3072, 'aut_label': '32.a1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 12288, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.a1', '16.b1', '16.e1'], 'contains': ['64.a1', '96.a1', '160.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6417, 329, 5915, 707], 'generators': [2, 192, 640], 'label': '960.4626.32.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1'], 'normal_contains': ['64.a1', '96.a1', '160.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '96.79', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.2', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619766
{'ambient': '960.4626', 'aut_centralizer_order': 12288, 'aut_label': '32.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 12288, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.c1', '16.d1'], 'contains': ['64.a1', '96.b1', '160.b1'], 'core': '32.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5010, 1030, 5213, 2269], 'generators': [8, 192, 640], 'label': '960.4626.32.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': ['16.a1', '16.c1', '16.d1'], 'normal_contains': ['64.a1', '96.b1', '160.b1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': '96.129', '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: 113619767
{'ambient': '960.4626', 'aut_centralizer_order': 6144, 'aut_label': '32.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 12288, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '16.c1', '16.f1'], 'contains': ['64.a1', '96.c1', '160.c1'], 'core': '32.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [3169, 3481, 2802, 5087], 'generators': [480, 192, 640], 'label': '960.4626.32.c1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': ['16.b1', '16.c1'], 'normal_contains': ['64.a1', '96.c1', '160.c1'], 'normalizer': '1.a1', 'old_label': '32.c1', 'projective_image': '96.133', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.10', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619768
{'ambient': '960.4626', 'aut_centralizer_order': 1536, 'aut_label': '40.a1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.a1', '20.a1', '20.b1'], 'contains': ['80.a1', '80.d1', '120.a1'], 'core': '40.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7530, 3320, 6535, 1620], 'generators': [2, 4, 640, 8], 'label': '960.4626.40.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.d1', '120.a1'], 'normalizer': '1.a1', 'old_label': '40.a1', 'projective_image': '120.22', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.2', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619769
{'ambient': '960.4626', 'aut_centralizer_order': 512, 'aut_label': '40.b1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4096, 'centralizer': '12.a1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['8.b1', '20.a1', '20.d1'], 'contains': ['80.a1', '80.e1', '120.e1'], 'core': '40.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [8676, 2297, 9149, 300], 'generators': [5, 8, 10, 640], 'label': '960.4626.40.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.b1', 'normal_contained_in': ['8.b1', '20.a1', '20.d1'], 'normal_contains': ['80.a1'], 'normalizer': '1.a1', 'old_label': '40.b1', 'projective_image': '240.166', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 113619770
{'ambient': '960.4626', 'aut_centralizer_order': 6144, 'aut_label': '40.c1', 'aut_quo_index': 21, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '20.b1', '20.c1', '20.d1'], 'contains': ['80.a1', '80.b1', '80.c1', '120.b1'], 'core': '40.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5733, 5780, 4529, 3935], 'generators': [2, 8, 480, 640], 'label': '960.4626.40.c1', 'mobius_quo': 8, 'mobius_sub': 8, 'normal_closure': '40.c1', 'normal_contained_in': ['8.c1', '20.b1', '20.c1', '20.d1'], 'normal_contains': ['80.a1', '80.b1', '80.c1', '120.b1'], 'normalizer': '1.a1', 'old_label': '40.c1', 'projective_image': '120.45', 'quotient_action_image': '2.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '40.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619771
{'ambient': '960.4626', 'aut_centralizer_order': 3072, 'aut_label': '40.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '20.b1', '20.e1'], 'contains': ['80.c1', '80.d1', '120.c1'], 'core': '40.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [3604, 6626, 3236, 6612], 'generators': [4, 480, 640, 8], 'label': '960.4626.40.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.d1', 'normal_contained_in': ['8.d1', '20.b1', '20.e1'], 'normal_contains': ['80.c1', '80.d1', '120.c1'], 'normalizer': '1.a1', 'old_label': '40.d1', 'projective_image': '120.24', '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: 113619772
{'ambient': '960.4626', 'aut_centralizer_order': 3072, 'aut_label': '40.e1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12288, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.e1', '20.c1', '20.e1'], 'contains': ['80.c1', '80.f1', '120.d1'], 'core': '40.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [1542, 8023, 428, 8557], 'generators': [252, 480, 640, 488], 'label': '960.4626.40.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '40.e1', 'normal_contained_in': ['8.e1', '20.c1', '20.e1'], 'normal_contains': ['80.c1', '120.d1'], 'normalizer': '1.a1', 'old_label': '40.e1', 'projective_image': '240.173', '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: 113619773
{'ambient': '960.4626', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '768.327978', 'aut_weyl_index': 128, 'centralizer': '12.a1', 'complements': ['240.f1', '240.e1'], 'conjugacy_class_count': 8, 'contained_in': ['2.b1'], 'contains': ['8.a1', '8.b1', '12.d1', '20.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [7781, 2297, 8672, 1540], 'generators': [89, 640, 192, 490, 4, 8], 'label': '960.4626.4.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.a1', '8.b1', '20.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '24.5', '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': '12.4'}
-
id: 113619774
{'ambient': '960.4626', 'aut_centralizer_order': 768, 'aut_label': '40.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.f1', '20.c1'], 'contains': ['80.b1', '80.f1', '120.f1'], 'core': '80.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [2018, -1, 1296, -1], 'generators': [2, 252, 640, 488], 'label': '960.4626.40.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '40.f1', 'projective_image': '240.168', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619775
{'ambient': '960.4626', 'aut_centralizer_order': 256, 'aut_label': '40.g1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4096, 'centralizer': '12.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.g1', '20.d1'], 'contains': ['80.b1', '80.e1', '120.g1'], 'core': '80.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [9270, -1, 7408, -1], 'generators': [5, 480, 10, 640], 'label': '960.4626.40.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '40.g1', 'projective_image': '240.168', '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': '6.1'}
-
id: 113619776
{'ambient': '960.4626', 'aut_centralizer_order': 6144, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 12288, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '24.a1', '24.b1', '24.e1'], 'contains': ['96.a1', '96.b1', '240.a1'], 'core': '48.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7012, 308, 6613, 1761], 'generators': [2, 192, 8], 'label': '960.4626.48.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1', '24.b1'], 'normal_contains': ['96.a1', '96.b1', '240.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '48.35', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.35', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619777
{'ambient': '960.4626', 'aut_centralizer_order': 3072, 'aut_label': '48.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 12288, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.b1', '24.b1', '24.f1', '24.g1'], 'contains': ['96.a1', '96.c1', '240.b1'], 'core': '48.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [4635, 3966, 4659, 4579], 'generators': [2, 192, 480], 'label': '960.4626.48.b1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': ['16.b1', '24.b1'], 'normal_contains': ['96.a1', '96.c1', '240.b1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': '48.37', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.37', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619778
{'ambient': '960.4626', 'aut_centralizer_order': 12288, 'aut_label': '48.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 12288, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '24.b1', '24.c1', '24.d1'], 'contains': ['96.b1', '96.c1', '240.c1'], 'core': '48.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2571, 4986, 3499, 6471], 'generators': [8, 192, 480], 'label': '960.4626.48.c1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': ['16.c1', '24.b1', '24.c1', '24.d1'], 'normal_contains': ['96.b1', '96.c1', '240.c1'], 'normalizer': '1.a1', 'old_label': '48.c1', 'projective_image': '48.42', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.42', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619779
{'ambient': '960.4626', 'aut_centralizer_order': 3072, 'aut_label': '48.d1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 12288, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.d1', '24.a1', '24.c1'], 'contains': ['96.b1', '240.d1'], 'core': '48.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [4046, 1705, 5681, 3525], 'generators': [4, 8, 192], 'label': '960.4626.48.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.d1', 'normal_contained_in': ['16.d1', '24.a1', '24.c1'], 'normal_contains': ['96.b1', '240.d1'], 'normalizer': '1.a1', 'old_label': '48.d1', 'projective_image': '48.11', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.11', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619780
{'ambient': '960.4626', 'aut_centralizer_order': 256, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.2', 'aut_weyl_index': 12288, 'centralizer': '6.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.e1', '24.e1', '24.g1'], 'contains': ['96.a1', '240.e1'], 'core': '96.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9789, -1, 7962, -1], 'generators': [5, 10, 192], 'label': '960.4626.48.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.e1', 'projective_image': '96.79', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619781
{'ambient': '960.4626', 'aut_centralizer_order': 1536, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '8.2', 'aut_weyl_index': 12288, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.f1', '24.d1', '24.f1'], 'contains': ['96.c1', '240.f1'], 'core': '96.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [805, -1, 1716, -1], 'generators': [724, 488, 192], 'label': '960.4626.48.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '48.f1', 'projective_image': '96.133', '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: 113619782
{'ambient': '960.4626', 'aut_centralizer_order': 1536, 'aut_label': '60.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.138', 'aut_weyl_index': 1536, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '20.b1', '30.a1', '30.b1'], 'contains': ['120.a1', '120.b1', '120.c1'], 'core': '60.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4771, 7505, 5439, 5968], 'generators': [2, 4, 480], 'label': '960.4626.60.a1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '60.a1', 'normal_contained_in': ['12.a1', '20.b1', '30.a1'], 'normal_contains': ['120.a1', '120.b1', '120.c1'], 'normalizer': '1.a1', 'old_label': '60.a1', 'projective_image': '60.11', 'quotient_action_image': '1.1', 'quotient_action_kernel': '60.11', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '60.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619783
{'ambient': '960.4626', 'aut_centralizer_order': 1536, 'aut_label': '60.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.27', 'aut_weyl_index': 3072, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '20.c1', '30.a1', '30.c1'], 'contains': ['120.b1', '120.d1', '120.f1'], 'core': '60.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1059, 9353, 2376, 7913], 'generators': [2, 724, 480], 'label': '960.4626.60.b1', 'mobius_quo': 0, 'mobius_sub': 6, 'normal_closure': '60.b1', 'normal_contained_in': ['12.b1', '20.c1', '30.a1'], 'normal_contains': ['120.b1', '120.d1'], 'normalizer': '1.a1', 'old_label': '60.b1', 'projective_image': '120.45', '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: 113619784
{'ambient': '960.4626', 'aut_centralizer_order': 192, 'aut_label': '4.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '512.6279920', 'aut_weyl_index': 192, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.a1', '8.c1', '8.d1', '12.a1', '20.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4801, 5618, 5000, 4378], 'generators': [2, 8, 480, 640, 4, 192], 'label': '960.4626.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.a1', '8.c1', '8.d1', '12.a1', '20.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '12.4', '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: 113619785
{'ambient': '960.4626', 'aut_centralizer_order': 768, 'aut_label': '60.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '32.27', 'aut_weyl_index': 3072, 'centralizer': '2.a1', 'complements': ['16.e1'], 'conjugacy_class_count': 4, 'contained_in': ['12.c1', '20.e1', '30.a1'], 'contains': ['120.c1', '120.d1'], 'core': '60.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [328, 8452, 2057, 9708], 'generators': [4, 720], 'label': '960.4626.60.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '60.c1', 'normal_contained_in': ['12.c1', '20.e1', '30.a1'], 'normal_contains': ['120.c1', '120.d1'], 'normalizer': '1.a1', 'old_label': '60.c1', 'projective_image': '120.24', 'quotient_action_image': '2.1', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '60.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619786
{'ambient': '960.4626', 'aut_centralizer_order': 128, 'aut_label': '60.d1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.27', 'aut_weyl_index': 3072, 'centralizer': '6.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.d1', '20.a1', '30.b1'], 'contains': ['120.a1', '120.e1'], 'core': '120.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8315, -1, 9915, -1], 'generators': [89, 4], 'label': '960.4626.60.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.d1', 'projective_image': '120.22', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619787
{'ambient': '960.4626', 'aut_centralizer_order': 512, 'aut_label': '60.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6144, 'centralizer': '6.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.e1', '20.d1', '30.b1', '30.c1'], 'contains': ['120.b1', '120.e1', '120.g1'], 'core': '120.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [7950, -1, 8273, -1], 'generators': [5, 8, 480], 'label': '960.4626.60.e1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '20.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '60.e1', 'projective_image': '120.45', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619788
{'ambient': '960.4626', 'aut_centralizer_order': 12288, 'aut_label': '64.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 12288, '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': [5094, 898, 5021, 2349], 'generators': [640, 192], 'label': '960.4626.64.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1', '32.c1'], 'normal_contains': ['192.a1', '320.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': '192.491', '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: 113619789
{'ambient': '960.4626', 'aut_centralizer_order': 12288, 'aut_label': '80.a1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '40.a1', '40.b1', '40.c1'], 'contains': ['160.a1', '160.b1', '240.a1'], 'core': '80.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6910, 2360, 6214, 1157], 'generators': [2, 8, 640], 'label': '960.4626.80.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.a1', 'normal_contained_in': ['16.a1', '40.a1', '40.b1', '40.c1'], 'normal_contains': ['160.a1', '160.b1', '240.a1'], 'normalizer': '1.a1', 'old_label': '80.a1', 'projective_image': '240.166', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619790
{'ambient': '960.4626', 'aut_centralizer_order': 6144, 'aut_label': '80.b1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.b1', '40.c1', '40.f1', '40.g1'], 'contains': ['160.a1', '160.c1', '240.b1'], 'core': '80.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [5792, 4654, 4260, 3975], 'generators': [2, 480, 640], 'label': '960.4626.80.b1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.b1', 'normal_contained_in': ['16.b1', '40.c1'], 'normal_contains': ['160.a1', '160.c1', '240.b1'], 'normalizer': '1.a1', 'old_label': '80.b1', 'projective_image': '240.168', '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: 113619791
{'ambient': '960.4626', 'aut_centralizer_order': 24576, 'aut_label': '80.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '40.c1', '40.d1', '40.e1'], 'contains': ['160.b1', '160.c1', '240.c1'], 'core': '80.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3341, 5716, 3100, 5868], 'generators': [8, 480, 640], 'label': '960.4626.80.c1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '80.c1', 'normal_contained_in': ['16.c1', '40.c1', '40.d1', '40.e1'], 'normal_contains': ['160.b1', '160.c1', '240.c1'], 'normalizer': '1.a1', 'old_label': '80.c1', 'projective_image': '240.173', 'quotient_action_image': '2.1', 'quotient_action_kernel': '40.14', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '80.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619792
{'ambient': '960.4626', 'aut_centralizer_order': 6144, 'aut_label': '80.d1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.d1', '40.a1', '40.d1'], 'contains': ['160.b1', '240.d1'], 'core': '80.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [5465, 3966, 5447, 3170], 'generators': [4, 640, 8], 'label': '960.4626.80.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '80.d1', 'normal_contained_in': ['16.d1', '40.a1', '40.d1'], 'normal_contains': ['160.b1', '240.d1'], 'normalizer': '1.a1', 'old_label': '80.d1', 'projective_image': '240.56', '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: 113619793
{'ambient': '960.4626', 'aut_centralizer_order': 512, 'aut_label': '80.e1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '12.4', 'aut_weyl_index': 8192, 'centralizer': '12.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.e1', '40.b1', '40.g1'], 'contains': ['160.a1', '240.e1'], 'core': '160.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [9375, -1, 7722, -1], 'generators': [5, 10, 640], 'label': '960.4626.80.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '80.e1', 'projective_image': '480.751', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.e1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
-
id: 113619794
{'ambient': '960.4626', 'aut_centralizer_order': 3072, 'aut_label': '80.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.f1', '40.e1', '40.f1'], 'contains': ['160.c1', '240.f1'], 'core': '160.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [2056, -1, 1296, -1], 'generators': [252, 640, 488], 'label': '960.4626.80.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '80.f1', 'projective_image': '480.805', '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: 113619795
{'ambient': '960.4626', 'aut_centralizer_order': 192, 'aut_label': '4.c1', 'aut_quo_index': 3, 'aut_stab_index': 2, 'aut_weyl_group': '256.27015', 'aut_weyl_index': 384, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.c1'], 'contains': ['8.c1', '8.e1', '8.f1', '12.b1', '20.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [2067, 7492, 3068, 5682], 'generators': [2, 488, 480, 640, 252, 192], 'label': '960.4626.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1', '2.c1'], 'normal_contains': ['8.c1', '8.e1', '12.b1', '20.c1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '24.14', '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: 113619796
{'ambient': '960.4626', 'aut_centralizer_order': 6144, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '4.1', 'aut_weyl_index': 24576, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['32.a1', '48.a1', '48.b1', '48.e1'], 'contains': ['192.a1', '480.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6339, 291, 6064, 1995], 'generators': [2, 192], 'label': '960.4626.96.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.a1', '48.b1'], 'normal_contains': ['192.a1', '480.a1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': '96.79', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.79', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619797
{'ambient': '960.4626', 'aut_centralizer_order': 24576, 'aut_label': '96.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 24576, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1', '48.a1', '48.c1', '48.d1'], 'contains': ['192.a1', '480.b1'], 'core': '96.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4241, 1629, 5447, 3323], 'generators': [8, 192], 'label': '960.4626.96.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.b1', 'normal_contained_in': ['32.b1', '48.a1', '48.c1', '48.d1'], 'normal_contains': ['192.a1', '480.b1'], 'normalizer': '1.a1', 'old_label': '96.b1', 'projective_image': '96.129', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.129', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619798
{'ambient': '960.4626', 'aut_centralizer_order': 12288, 'aut_label': '96.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.1', 'aut_weyl_index': 24576, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '48.b1', '48.c1', '48.f1'], 'contains': ['192.a1', '480.c1'], 'core': '96.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [2699, 3536, 3499, 4636], 'generators': [480, 192], 'label': '960.4626.96.c1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.c1', 'normal_contained_in': ['32.c1', '48.b1', '48.c1'], 'normal_contains': ['192.a1', '480.c1'], 'normalizer': '1.a1', 'old_label': '96.c1', 'projective_image': '96.133', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.133', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619799
{'ambient': '960.4626', 'aut_centralizer_order': 3072, 'aut_label': '120.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12288, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['24.a1', '40.a1', '60.a1', '60.d1'], 'contains': ['240.a1', '240.d1'], 'core': '120.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7417, 2891, 7012, 2719], 'generators': [2, 4], 'label': '960.4626.120.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.a1', 'normal_contained_in': ['24.a1', '40.a1', '60.a1'], 'normal_contains': ['240.a1', '240.d1'], 'normalizer': '1.a1', 'old_label': '120.a1', 'projective_image': '120.22', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.22', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619800
{'ambient': '960.4626', 'aut_centralizer_order': 12288, 'aut_label': '120.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12288, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '40.c1', '60.a1', '60.b1', '60.e1'], 'contains': ['240.a1', '240.b1', '240.c1'], 'core': '120.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4859, 7055, 4987, 5429], 'generators': [2, 8, 480], 'label': '960.4626.120.b1', 'mobius_quo': -8, 'mobius_sub': -24, 'normal_closure': '120.b1', 'normal_contained_in': ['24.b1', '40.c1', '60.a1', '60.b1'], 'normal_contains': ['240.a1', '240.b1', '240.c1'], 'normalizer': '1.a1', 'old_label': '120.b1', 'projective_image': '120.45', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.45', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619801
{'ambient': '960.4626', 'aut_centralizer_order': 6144, 'aut_label': '120.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12288, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['24.c1', '40.d1', '60.a1', '60.c1'], 'contains': ['240.c1', '240.d1'], 'core': '120.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [3545, 6583, 3898, 7075], 'generators': [4, 480], 'label': '960.4626.120.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.c1', 'normal_contained_in': ['24.c1', '40.d1', '60.a1', '60.c1'], 'normal_contains': ['240.c1', '240.d1'], 'normalizer': '1.a1', 'old_label': '120.c1', 'projective_image': '120.24', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.24', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619802
{'ambient': '960.4626', 'aut_centralizer_order': 6144, 'aut_label': '120.d1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['24.d1', '40.e1', '60.b1', '60.c1'], 'contains': ['240.c1', '240.f1'], 'core': '120.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [1018, 8452, 2014, 8557], 'generators': [724, 480], 'label': '960.4626.120.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '120.d1', 'normal_contained_in': ['24.d1', '40.e1', '60.b1', '60.c1'], 'normal_contains': ['240.c1'], 'normalizer': '1.a1', 'old_label': '120.d1', 'projective_image': '240.173', '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: 113619803
{'ambient': '960.4626', 'aut_centralizer_order': 1024, 'aut_label': '120.e1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.e1', '40.b1', '60.d1', '60.e1'], 'contains': ['240.a1', '240.e1'], 'core': '240.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8684, -1, 8709, -1], 'generators': [5, 8], 'label': '960.4626.120.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '120.e1', 'projective_image': '240.166', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619804
{'ambient': '960.4626', 'aut_centralizer_order': 1536, 'aut_label': '120.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12288, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.f1', '40.f1', '60.b1'], 'contains': ['240.b1', '240.f1'], 'core': '240.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [1485, -1, 2376, -1], 'generators': [2, 724], 'label': '960.4626.120.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '120.f1', 'projective_image': '240.168', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619805
{'ambient': '960.4626', 'aut_centralizer_order': 512, 'aut_label': '120.g1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24576, 'centralizer': '6.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.g1', '40.g1', '60.e1'], 'contains': ['240.b1', '240.e1'], 'core': '240.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [9229, -1, 7419, -1], 'generators': [5, 480], 'label': '960.4626.120.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '120.g1', 'projective_image': '240.168', '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': '1.1'}
-
id: 113619806
{'ambient': '960.4626', 'aut_centralizer_order': 64, 'aut_label': '4.d1', 'aut_quo_index': 3, 'aut_stab_index': 4, 'aut_weyl_group': '384.18344', 'aut_weyl_index': 256, 'centralizer': '12.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.b1', '2.c1'], 'contains': ['8.b1', '8.c1', '8.g1', '12.e1', '20.d1'], 'core': '4.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [8454, 4162, 6778, 2490], 'generators': [5, 640, 480, 192, 8, 10], 'label': '960.4626.4.d1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.b1', '2.c1'], 'normal_contains': ['8.b1', '8.c1', '20.d1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '24.14', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
-
id: 113619807
{'ambient': '960.4626', 'aut_centralizer_order': 12288, 'aut_label': '160.a1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['32.a1', '80.a1', '80.b1', '80.e1'], 'contains': ['320.a1', '480.a1'], 'core': '160.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6048, 1337, 5852, 1673], 'generators': [2, 640], 'label': '960.4626.160.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.a1', 'normal_contained_in': ['32.a1', '80.a1', '80.b1'], 'normal_contains': ['320.a1', '480.a1'], 'normalizer': '1.a1', 'old_label': '160.a1', 'projective_image': '480.751', 'quotient_action_image': '2.1', 'quotient_action_kernel': '80.20', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '160.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619808
{'ambient': '960.4626', 'aut_centralizer_order': 49152, 'aut_label': '160.b1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1', '80.a1', '80.c1', '80.d1'], 'contains': ['320.a1', '480.b1'], 'core': '160.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5442, 3328, 5234, 3001], 'generators': [8, 640], 'label': '960.4626.160.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.b1', 'normal_contained_in': ['32.b1', '80.a1', '80.c1', '80.d1'], 'normal_contains': ['320.a1', '480.b1'], 'normalizer': '1.a1', 'old_label': '160.b1', 'projective_image': '480.801', 'quotient_action_image': '2.1', 'quotient_action_kernel': '80.45', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '160.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619809
{'ambient': '960.4626', 'aut_centralizer_order': 24576, 'aut_label': '160.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '80.b1', '80.c1', '80.f1'], 'contains': ['320.a1', '480.c1'], 'core': '160.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [2991, 4888, 3193, 4314], 'generators': [480, 640], 'label': '960.4626.160.c1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '160.c1', 'normal_contained_in': ['32.c1', '80.b1', '80.c1'], 'normal_contains': ['320.a1', '480.c1'], 'normalizer': '1.a1', 'old_label': '160.c1', 'projective_image': '480.805', 'quotient_action_image': '2.1', 'quotient_action_kernel': '80.45', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '160.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
-
id: 113619810
{'ambient': '960.4626', 'aut_centralizer_order': 24576, 'aut_label': '192.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 24576, 'centralizer': '1.a1', 'complements': ['5.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '96.a1', '96.b1', '96.c1'], 'contains': ['960.a1'], 'core': '192.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4410, 941, 5256, 3150], 'generators': [192], 'label': '960.4626.192.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.a1', 'normal_contained_in': ['64.a1', '96.a1', '96.b1', '96.c1'], 'normal_contains': ['960.a1'], 'normalizer': '1.a1', 'old_label': '192.a1', 'projective_image': '192.491', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.491', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619811
{'ambient': '960.4626', 'aut_centralizer_order': 24576, 'aut_label': '240.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['48.a1', '80.a1', '120.a1', '120.b1', '120.e1'], 'contains': ['480.a1', '480.b1'], 'core': '240.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7053, 2381, 6291, 2691], 'generators': [2, 8], 'label': '960.4626.240.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '240.a1', 'normal_contained_in': ['48.a1', '80.a1', '120.a1', '120.b1'], 'normal_contains': ['480.a1', '480.b1'], 'normalizer': '1.a1', 'old_label': '240.a1', 'projective_image': '240.166', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.166', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619812
{'ambient': '960.4626', 'aut_centralizer_order': 12288, 'aut_label': '240.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['48.b1', '80.b1', '120.b1', '120.f1', '120.g1'], 'contains': ['480.a1', '480.c1'], 'core': '240.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [4859, 4514, 4659, 4003], 'generators': [2, 480], 'label': '960.4626.240.b1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '240.b1', 'normal_contained_in': ['48.b1', '80.b1', '120.b1'], 'normal_contains': ['480.a1', '480.c1'], 'normalizer': '1.a1', 'old_label': '240.b1', 'projective_image': '240.168', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.168', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619813
{'ambient': '960.4626', 'aut_centralizer_order': 49152, 'aut_label': '240.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.c1', '80.c1', '120.b1', '120.c1', '120.d1'], 'contains': ['480.b1', '480.c1'], 'core': '240.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3005, 6086, 3725, 5868], 'generators': [8, 480], 'label': '960.4626.240.c1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '240.c1', 'normal_contained_in': ['48.c1', '80.c1', '120.b1', '120.c1', '120.d1'], 'normal_contains': ['480.b1', '480.c1'], 'normalizer': '1.a1', 'old_label': '240.c1', 'projective_image': '240.173', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.173', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619814
{'ambient': '960.4626', 'aut_centralizer_order': 12288, 'aut_label': '240.d1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['48.d1', '80.d1', '120.a1', '120.c1'], 'contains': ['480.b1'], 'core': '240.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [4080, 3006, 5660, 3645], 'generators': [4], 'label': '960.4626.240.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '240.d1', 'normal_contained_in': ['48.d1', '80.d1', '120.a1', '120.c1'], 'normal_contains': ['480.b1'], 'normalizer': '1.a1', 'old_label': '240.d1', 'projective_image': '240.56', 'quotient_action_image': '1.1', 'quotient_action_kernel': '240.56', 'quotient_action_kernel_order': 240, 'quotient_fusion': None, 'short_label': '240.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619815
{'ambient': '960.4626', 'aut_centralizer_order': 1024, 'aut_label': '240.e1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '6.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.e1', '80.e1', '120.e1', '120.g1'], 'contains': ['480.a1'], 'core': '480.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9229, -1, 7722, -1], 'generators': [5], 'label': '960.4626.240.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '40.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '240.e1', 'projective_image': '480.751', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 113619816
{'ambient': '960.4626', 'aut_centralizer_order': 6144, 'aut_label': '240.f1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 49152, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.f1', '80.f1', '120.d1', '120.f1'], 'contains': ['480.c1'], 'core': '480.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [1485, -1, 2014, -1], 'generators': [724], 'label': '960.4626.240.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '120.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '240.f1', 'projective_image': '480.805', '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'}
