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gps_groups • Show schema
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{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '80.45', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 12, 'aut_gen_orders': [4, 12, 2, 4, 12, 2, 12, 4, 4, 4], 'aut_gens': [[1, 2, 16], [9, 15, 376], [489, 402, 592], [481, 246, 496], [481, 803, 368], [481, 566, 112], [481, 486, 664], [1, 655, 16], [489, 334, 848], [481, 494, 592], [1, 646, 848]], 'aut_group': None, 'aut_hash': 6001028021122471188, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 12288, 'aut_permdeg': 100, 'aut_perms': [48247816293928202524121110635049453371353105176642410102522686508611849681731181623310015069955232307541359063619160797559738742469979911275977737561062226428, 48611226398089394023700102363681988700588267109497735903190742727452614578030347122194987215105294580464507252858932102009202856170337967225245623136579010978, 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'autcent_supersolvable': True, 'autcent_tex': 'C_2^7\\times C_4', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '24.14', 'autcentquo_hash': 14, 'autcentquo_nilpotent': False, 'autcentquo_order': 24, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times D_6', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [3, 2, 1], [4, 1, 4], [4, 2, 10], [5, 1, 4], [6, 2, 7], [8, 12, 8], [10, 1, 12], [10, 2, 8], [12, 2, 24], [15, 2, 4], [20, 1, 16], [20, 2, 40], [30, 2, 28], [40, 12, 32], [60, 2, 96]], 'center_label': '40.9', 'center_order': 40, 'central_product': True, 'central_quotient': '24.14', 'commutator_count': 1, 'commutator_label': '12.5', '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': 4620, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['192.485', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [3, 2, 1, 1], [4, 1, 2, 2], [4, 2, 1, 2], [4, 2, 2, 4], [5, 1, 4, 1], [6, 2, 1, 3], [6, 2, 2, 2], [8, 12, 2, 4], [10, 1, 4, 3], [10, 2, 4, 2], [12, 2, 2, 4], [12, 2, 4, 4], [15, 2, 4, 1], [20, 1, 8, 2], [20, 2, 4, 2], [20, 2, 8, 4], [30, 2, 4, 3], [30, 2, 8, 2], [40, 12, 8, 4], [60, 2, 8, 4], [60, 2, 16, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 20832, 'exponent': 120, 'exponents_of_order': [6, 1, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.2', 'frattini_quotient': '120.45', 'hash': 4620, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 2, 6], 'inner_gens': [[1, 10, 16], [9, 2, 176], [1, 802, 16]], 'inner_hash': 14, 'inner_nilpotent': False, 'inner_order': 24, 'inner_split': False, 'inner_tex': 'C_2\\times D_6', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 80], [2, 220]], 'label': '960.4620', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C60.OD16', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 46, 'number_characteristic_subgroups': 82, 'number_conjugacy_classes': 300, 'number_divisions': 64, 'number_normal_subgroups': 126, 'number_subgroup_autclasses': 156, 'number_subgroup_classes': 220, 'number_subgroups': 368, 'old_label': None, 'order': 960, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 7], [3, 2], [4, 24], [5, 4], [6, 14], [8, 96], [10, 28], [12, 48], [15, 8], [20, 96], [30, 56], [40, 384], [60, 192]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [4, 2, 4, 2, 4, 4, 2, 2], 'outer_gen_pows': [0, 241, 0, 1, 0, 0, 240, 321], 'outer_gens': [[1, 647, 856], [1, 566, 664], [481, 247, 848], [1, 730, 184], [9, 723, 848], [481, 882, 272], [1, 414, 656], [489, 82, 312]], 'outer_group': '512.10494201', 'outer_hash': 8909733522074432791, 'outer_nilpotent': True, 'outer_order': 512, 'outer_permdeg': 512, 'outer_perms': 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'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^7\\times C_4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 24, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4, 5], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 12], [4, 14], [8, 18], [16, 6], [32, 6]], 'representations': {'PC': {'code': 12493494464752128994674763099372640454246407, 'gens': [1, 2, 5], 'pres': [8, -2, -2, -2, -2, -2, -2, -3, -5, 3904, 161, 41, 66, 3532, 116, 8461, 141, 19726, 222]}, 'Perm': {'d': 24, 'gens': [26010277371699821989200, 3425539190825876544000, 56309894719565219268480, 33, 4297729363200, 81132428973422002176000, 2878327872000, 5760]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 20], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{60}.\\OD_{16}', 'transitive_degree': 480, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 143140639
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 4620, 'group_order': 960, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
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id: 143140750
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 4620, 'group_order': 960, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 8, 'size': 1}
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id: 143140861
{'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 4620, 'group_order': 960, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 480, 'size': 1}
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id: 143140873
{'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 4620, 'group_order': 960, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 488, 'size': 1}
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id: 143140884
{'aut_label': '2D', 'centralizer': '2.a1.a1', 'counter': 5, 'group_counter': 4620, 'group_order': 960, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 725, 'size': 2}
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id: 143140895
{'aut_label': '2D', 'centralizer': '2.a1.a1', 'counter': 6, 'group_counter': 4620, 'group_order': 960, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 733, 'size': 2}
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id: 143140906
{'aut_label': '3A', 'centralizer': '2.a1.a1', 'counter': 7, 'group_counter': 4620, 'group_order': 960, 'label': '3A', 'order': 3, 'powers': [7, 1, 7], 'representative': 640, 'size': 2}
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id: 143140917
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 4620, 'group_order': 960, 'label': '4A1', 'order': 4, 'powers': [2, 9, 8], 'representative': 4, 'size': 1}
-
id: 143140928
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 4620, 'group_order': 960, 'label': '4A-1', 'order': 4, 'powers': [2, 8, 9], 'representative': 12, 'size': 1}
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id: 143140640
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 4620, 'group_order': 960, 'label': '4B1', 'order': 4, 'powers': [2, 11, 10], 'representative': 484, 'size': 1}
-
id: 143140651
{'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 4620, 'group_order': 960, 'label': '4B-1', 'order': 4, 'powers': [2, 10, 11], 'representative': 492, 'size': 1}
-
id: 143140662
{'aut_label': '4C', 'centralizer': '2.a1.a1', 'counter': 12, 'group_counter': 4620, 'group_order': 960, 'label': '4C', 'order': 4, 'powers': [3, 12, 12], 'representative': 240, 'size': 2}
-
id: 143140673
{'aut_label': '4C', 'centralizer': '2.a1.a1', 'counter': 13, 'group_counter': 4620, 'group_order': 960, 'label': '4D', 'order': 4, 'powers': [3, 13, 13], 'representative': 248, 'size': 2}
-
id: 143140684
{'aut_label': '4E1', 'centralizer': '2.a1.a1', 'counter': 14, 'group_counter': 4620, 'group_order': 960, 'label': '4E1', 'order': 4, 'powers': [4, 15, 14], 'representative': 252, 'size': 2}
-
id: 143140695
{'aut_label': '4E1', 'centralizer': '2.a1.a1', 'counter': 15, 'group_counter': 4620, 'group_order': 960, 'label': '4E-1', 'order': 4, 'powers': [4, 14, 15], 'representative': 724, 'size': 2}
-
id: 143140706
{'aut_label': '4F1', 'centralizer': '2.a1.a1', 'counter': 16, 'group_counter': 4620, 'group_order': 960, 'label': '4F1', 'order': 4, 'powers': [4, 17, 16], 'representative': 489, 'size': 2}
-
id: 143140717
{'aut_label': '4F1', 'centralizer': '2.a1.a1', 'counter': 17, 'group_counter': 4620, 'group_order': 960, 'label': '4F-1', 'order': 4, 'powers': [4, 16, 17], 'representative': 1, 'size': 2}
-
id: 143140728
{'aut_label': '4G1', 'centralizer': '2.a1.a1', 'counter': 18, 'group_counter': 4620, 'group_order': 960, 'label': '4G1', 'order': 4, 'powers': [2, 19, 18], 'representative': 729, 'size': 2}
-
id: 143140739
{'aut_label': '4G1', 'centralizer': '2.a1.a1', 'counter': 19, 'group_counter': 4620, 'group_order': 960, 'label': '4G-1', 'order': 4, 'powers': [2, 18, 19], 'representative': 721, 'size': 2}
-
id: 143140751
{'aut_label': '4H1', 'centralizer': '2.a1.a1', 'counter': 20, 'group_counter': 4620, 'group_order': 960, 'label': '4H1', 'order': 4, 'powers': [3, 21, 20], 'representative': 485, 'size': 2}
-
id: 143140762
{'aut_label': '4H1', 'centralizer': '2.a1.a1', 'counter': 21, 'group_counter': 4620, 'group_order': 960, 'label': '4H-1', 'order': 4, 'powers': [3, 20, 21], 'representative': 5, 'size': 2}
-
id: 143140773
{'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 22, 'group_counter': 4620, 'group_order': 960, 'label': '5A1', 'order': 5, 'powers': [24, 25, 1], 'representative': 576, 'size': 1}
-
id: 143140784
{'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 23, 'group_counter': 4620, 'group_order': 960, 'label': '5A-1', 'order': 5, 'powers': [25, 24, 1], 'representative': 384, 'size': 1}
-
id: 143140795
{'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 24, 'group_counter': 4620, 'group_order': 960, 'label': '5A2', 'order': 5, 'powers': [23, 22, 1], 'representative': 192, 'size': 1}
-
id: 143140806
{'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 25, 'group_counter': 4620, 'group_order': 960, 'label': '5A-2', 'order': 5, 'powers': [22, 23, 1], 'representative': 768, 'size': 1}
-
id: 143140817
{'aut_label': '6A', 'centralizer': '2.a1.a1', 'counter': 26, 'group_counter': 4620, 'group_order': 960, 'label': '6A', 'order': 6, 'powers': [7, 3, 26], 'representative': 160, 'size': 2}
-
id: 143140828
{'aut_label': '6B', 'centralizer': '2.a1.a1', 'counter': 27, 'group_counter': 4620, 'group_order': 960, 'label': '6B', 'order': 6, 'powers': [7, 2, 27], 'representative': 648, 'size': 2}
-
id: 143140839
{'aut_label': '6C', 'centralizer': '2.a1.a1', 'counter': 28, 'group_counter': 4620, 'group_order': 960, 'label': '6C', 'order': 6, 'powers': [7, 4, 28], 'representative': 168, 'size': 2}
-
id: 143140850
{'aut_label': '6D1', 'centralizer': '2.a1.a1', 'counter': 29, 'group_counter': 4620, 'group_order': 960, 'label': '6D1', 'order': 6, 'powers': [7, 5, 30], 'representative': 85, 'size': 2}
-
id: 143140862
{'aut_label': '6D1', 'centralizer': '2.a1.a1', 'counter': 30, 'group_counter': 4620, 'group_order': 960, 'label': '6D-1', 'order': 6, 'powers': [7, 5, 29], 'representative': 405, 'size': 2}
-
id: 143140864
{'aut_label': '6D1', 'centralizer': '2.a1.a1', 'counter': 31, 'group_counter': 4620, 'group_order': 960, 'label': '6E1', 'order': 6, 'powers': [7, 6, 32], 'representative': 93, 'size': 2}
-
id: 143140865
{'aut_label': '6D1', 'centralizer': '2.a1.a1', 'counter': 32, 'group_counter': 4620, 'group_order': 960, 'label': '6E-1', 'order': 6, 'powers': [7, 6, 31], 'representative': 413, 'size': 2}
-
id: 143140866
{'aut_label': '8A1', 'centralizer': '12.h1.a1', 'counter': 33, 'group_counter': 4620, 'group_order': 960, 'label': '8A1', 'order': 8, 'powers': [8, 34, 33], 'representative': 10, 'size': 12}
-
id: 143140867
{'aut_label': '8A1', 'centralizer': '12.h1.a1', 'counter': 34, 'group_counter': 4620, 'group_order': 960, 'label': '8A-1', 'order': 8, 'powers': [9, 33, 34], 'representative': 6, 'size': 12}
-
id: 143140868
{'aut_label': '8A1', 'centralizer': '12.h1.b1', 'counter': 35, 'group_counter': 4620, 'group_order': 960, 'label': '8B1', 'order': 8, 'powers': [8, 36, 35], 'representative': 410, 'size': 12}
-
id: 143140869
{'aut_label': '8A1', 'centralizer': '12.h1.b1', 'counter': 36, 'group_counter': 4620, 'group_order': 960, 'label': '8B-1', 'order': 8, 'powers': [9, 35, 36], 'representative': 406, 'size': 12}
-
id: 143140870
{'aut_label': '8A1', 'centralizer': '12.h1.c1', 'counter': 37, 'group_counter': 4620, 'group_order': 960, 'label': '8C1', 'order': 8, 'powers': [10, 38, 37], 'representative': 11, 'size': 12}
-
id: 143140871
{'aut_label': '8A1', 'centralizer': '12.h1.c1', 'counter': 38, 'group_counter': 4620, 'group_order': 960, 'label': '8C-1', 'order': 8, 'powers': [11, 37, 38], 'representative': 487, 'size': 12}
-
id: 143140872
{'aut_label': '8A1', 'centralizer': '12.h1.d1', 'counter': 39, 'group_counter': 4620, 'group_order': 960, 'label': '8D1', 'order': 8, 'powers': [10, 40, 39], 'representative': 411, 'size': 12}
-
id: 143140874
{'aut_label': '8A1', 'centralizer': '12.h1.d1', 'counter': 40, 'group_counter': 4620, 'group_order': 960, 'label': '8D-1', 'order': 8, 'powers': [11, 39, 40], 'representative': 887, 'size': 12}
-
id: 143140875
{'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 41, 'group_counter': 4620, 'group_order': 960, 'label': '10A1', 'order': 10, 'powers': [22, 43, 2], 'representative': 776, 'size': 1}
-
id: 143140876
{'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 42, 'group_counter': 4620, 'group_order': 960, 'label': '10A-1', 'order': 10, 'powers': [23, 44, 2], 'representative': 200, 'size': 1}
-
id: 143140877
{'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 43, 'group_counter': 4620, 'group_order': 960, 'label': '10A3', 'order': 10, 'powers': [25, 42, 2], 'representative': 392, 'size': 1}
-
id: 143140878
{'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 44, 'group_counter': 4620, 'group_order': 960, 'label': '10A-3', 'order': 10, 'powers': [24, 41, 2], 'representative': 584, 'size': 1}
-
id: 143140879
{'aut_label': '10B1', 'centralizer': '1.a1.a1', 'counter': 45, 'group_counter': 4620, 'group_order': 960, 'label': '10B1', 'order': 10, 'powers': [24, 47, 3], 'representative': 96, 'size': 1}
-
id: 143140880
{'aut_label': '10B1', 'centralizer': '1.a1.a1', 'counter': 46, 'group_counter': 4620, 'group_order': 960, 'label': '10B-1', 'order': 10, 'powers': [25, 48, 3], 'representative': 864, 'size': 1}
-
id: 143140881
{'aut_label': '10B1', 'centralizer': '1.a1.a1', 'counter': 47, 'group_counter': 4620, 'group_order': 960, 'label': '10B3', 'order': 10, 'powers': [22, 46, 3], 'representative': 288, 'size': 1}
-
id: 143140882
{'aut_label': '10B1', 'centralizer': '1.a1.a1', 'counter': 48, 'group_counter': 4620, 'group_order': 960, 'label': '10B-3', 'order': 10, 'powers': [23, 45, 3], 'representative': 672, 'size': 1}
-
id: 143140883
{'aut_label': '10C1', 'centralizer': '1.a1.a1', 'counter': 49, 'group_counter': 4620, 'group_order': 960, 'label': '10C1', 'order': 10, 'powers': [24, 51, 4], 'representative': 104, 'size': 1}
-
id: 143140885
{'aut_label': '10C1', 'centralizer': '1.a1.a1', 'counter': 50, 'group_counter': 4620, 'group_order': 960, 'label': '10C-1', 'order': 10, 'powers': [25, 52, 4], 'representative': 872, 'size': 1}
-
id: 143140886
{'aut_label': '10C1', 'centralizer': '1.a1.a1', 'counter': 51, 'group_counter': 4620, 'group_order': 960, 'label': '10C3', 'order': 10, 'powers': [22, 50, 4], 'representative': 296, 'size': 1}
-
id: 143140887
{'aut_label': '10C1', 'centralizer': '1.a1.a1', 'counter': 52, 'group_counter': 4620, 'group_order': 960, 'label': '10C-3', 'order': 10, 'powers': [23, 49, 4], 'representative': 680, 'size': 1}
-
id: 143140888
{'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 53, 'group_counter': 4620, 'group_order': 960, 'label': '10D1', 'order': 10, 'powers': [22, 55, 5], 'representative': 533, 'size': 2}
-
id: 143140889
{'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 54, 'group_counter': 4620, 'group_order': 960, 'label': '10D-1', 'order': 10, 'powers': [23, 56, 5], 'representative': 917, 'size': 2}
-
id: 143140890
{'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 55, 'group_counter': 4620, 'group_order': 960, 'label': '10D3', 'order': 10, 'powers': [25, 54, 5], 'representative': 149, 'size': 2}
-
id: 143140891
{'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 56, 'group_counter': 4620, 'group_order': 960, 'label': '10D-3', 'order': 10, 'powers': [24, 53, 5], 'representative': 341, 'size': 2}
-
id: 143140892
{'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 57, 'group_counter': 4620, 'group_order': 960, 'label': '10E1', 'order': 10, 'powers': [22, 59, 6], 'representative': 541, 'size': 2}
-
id: 143140893
{'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 58, 'group_counter': 4620, 'group_order': 960, 'label': '10E-1', 'order': 10, 'powers': [23, 60, 6], 'representative': 925, 'size': 2}
-
id: 143140894
{'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 59, 'group_counter': 4620, 'group_order': 960, 'label': '10E3', 'order': 10, 'powers': [25, 58, 6], 'representative': 157, 'size': 2}
-
id: 143140896
{'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 60, 'group_counter': 4620, 'group_order': 960, 'label': '10E-3', 'order': 10, 'powers': [24, 57, 6], 'representative': 349, 'size': 2}
-
id: 143140897
{'aut_label': '12A1', 'centralizer': '2.a1.a1', 'counter': 61, 'group_counter': 4620, 'group_order': 960, 'label': '12A1', 'order': 12, 'powers': [26, 12, 62], 'representative': 80, 'size': 2}
-
id: 143140898
{'aut_label': '12A1', 'centralizer': '2.a1.a1', 'counter': 62, 'group_counter': 4620, 'group_order': 960, 'label': '12A5', 'order': 12, 'powers': [26, 12, 61], 'representative': 400, 'size': 2}
-
id: 143140899
{'aut_label': '12A1', 'centralizer': '2.a1.a1', 'counter': 63, 'group_counter': 4620, 'group_order': 960, 'label': '12B1', 'order': 12, 'powers': [26, 13, 64], 'representative': 88, 'size': 2}
-
id: 143140900
{'aut_label': '12A1', 'centralizer': '2.a1.a1', 'counter': 64, 'group_counter': 4620, 'group_order': 960, 'label': '12B5', 'order': 12, 'powers': [26, 13, 63], 'representative': 408, 'size': 2}
-
id: 143140901
{'aut_label': '12C1', 'centralizer': '2.a1.a1', 'counter': 65, 'group_counter': 4620, 'group_order': 960, 'label': '12C1', 'order': 12, 'powers': [27, 9, 65], 'representative': 324, 'size': 2}
-
id: 143140902
{'aut_label': '12C1', 'centralizer': '2.a1.a1', 'counter': 66, 'group_counter': 4620, 'group_order': 960, 'label': '12C-1', 'order': 12, 'powers': [27, 8, 66], 'representative': 652, 'size': 2}
-
id: 143140903
{'aut_label': '12C1', 'centralizer': '2.a1.a1', 'counter': 67, 'group_counter': 4620, 'group_order': 960, 'label': '12D1', 'order': 12, 'powers': [27, 11, 67], 'representative': 164, 'size': 2}
-
id: 143140904
{'aut_label': '12C1', 'centralizer': '2.a1.a1', 'counter': 68, 'group_counter': 4620, 'group_order': 960, 'label': '12D-1', 'order': 12, 'powers': [27, 10, 68], 'representative': 812, 'size': 2}
-
id: 143140905
{'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 69, 'group_counter': 4620, 'group_order': 960, 'label': '12E1', 'order': 12, 'powers': [28, 14, 71], 'representative': 84, 'size': 2}
-
id: 143140907
{'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 70, 'group_counter': 4620, 'group_order': 960, 'label': '12E-1', 'order': 12, 'powers': [28, 15, 72], 'representative': 892, 'size': 2}
-
id: 143140908
{'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 71, 'group_counter': 4620, 'group_order': 960, 'label': '12E5', 'order': 12, 'powers': [28, 14, 69], 'representative': 404, 'size': 2}
-
id: 143140909
{'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 72, 'group_counter': 4620, 'group_order': 960, 'label': '12E-5', 'order': 12, 'powers': [28, 15, 70], 'representative': 572, 'size': 2}
-
id: 143140910
{'aut_label': '12F1', 'centralizer': '2.a1.a1', 'counter': 73, 'group_counter': 4620, 'group_order': 960, 'label': '12F1', 'order': 12, 'powers': [28, 16, 75], 'representative': 321, 'size': 2}
-
id: 143140911
{'aut_label': '12F1', 'centralizer': '2.a1.a1', 'counter': 74, 'group_counter': 4620, 'group_order': 960, 'label': '12F-1', 'order': 12, 'powers': [28, 17, 76], 'representative': 169, 'size': 2}
-
id: 143140912
{'aut_label': '12F1', 'centralizer': '2.a1.a1', 'counter': 75, 'group_counter': 4620, 'group_order': 960, 'label': '12F5', 'order': 12, 'powers': [28, 16, 73], 'representative': 641, 'size': 2}
-
id: 143140913
{'aut_label': '12F1', 'centralizer': '2.a1.a1', 'counter': 76, 'group_counter': 4620, 'group_order': 960, 'label': '12F-5', 'order': 12, 'powers': [28, 17, 74], 'representative': 809, 'size': 2}
-
id: 143140914
{'aut_label': '12G1', 'centralizer': '2.a1.a1', 'counter': 77, 'group_counter': 4620, 'group_order': 960, 'label': '12G1', 'order': 12, 'powers': [27, 18, 79], 'representative': 81, 'size': 2}
-
id: 143140915
{'aut_label': '12G1', 'centralizer': '2.a1.a1', 'counter': 78, 'group_counter': 4620, 'group_order': 960, 'label': '12G-1', 'order': 12, 'powers': [27, 19, 80], 'representative': 409, 'size': 2}
-
id: 143140916
{'aut_label': '12G1', 'centralizer': '2.a1.a1', 'counter': 79, 'group_counter': 4620, 'group_order': 960, 'label': '12G5', 'order': 12, 'powers': [27, 18, 77], 'representative': 401, 'size': 2}
-
id: 143140918
{'aut_label': '12G1', 'centralizer': '2.a1.a1', 'counter': 80, 'group_counter': 4620, 'group_order': 960, 'label': '12G-5', 'order': 12, 'powers': [27, 19, 78], 'representative': 89, 'size': 2}
-
id: 143140919
{'aut_label': '12H1', 'centralizer': '2.a1.a1', 'counter': 81, 'group_counter': 4620, 'group_order': 960, 'label': '12H1', 'order': 12, 'powers': [26, 20, 83], 'representative': 325, 'size': 2}
-
id: 143140920
{'aut_label': '12H1', 'centralizer': '2.a1.a1', 'counter': 82, 'group_counter': 4620, 'group_order': 960, 'label': '12H-1', 'order': 12, 'powers': [26, 21, 84], 'representative': 165, 'size': 2}
-
id: 143140921
{'aut_label': '12H1', 'centralizer': '2.a1.a1', 'counter': 83, 'group_counter': 4620, 'group_order': 960, 'label': '12H5', 'order': 12, 'powers': [26, 20, 81], 'representative': 645, 'size': 2}
-
id: 143140922
{'aut_label': '12H1', 'centralizer': '2.a1.a1', 'counter': 84, 'group_counter': 4620, 'group_order': 960, 'label': '12H-5', 'order': 12, 'powers': [26, 21, 82], 'representative': 805, 'size': 2}
-
id: 143140923
{'aut_label': '15A1', 'centralizer': '2.a1.a1', 'counter': 85, 'group_counter': 4620, 'group_order': 960, 'label': '15A1', 'order': 15, 'powers': [87, 22, 7], 'representative': 512, 'size': 2}
-
id: 143140924
{'aut_label': '15A1', 'centralizer': '2.a1.a1', 'counter': 86, 'group_counter': 4620, 'group_order': 960, 'label': '15A-1', 'order': 15, 'powers': [88, 23, 7], 'representative': 448, 'size': 2}
-
id: 143140925
{'aut_label': '15A1', 'centralizer': '2.a1.a1', 'counter': 87, 'group_counter': 4620, 'group_order': 960, 'label': '15A2', 'order': 15, 'powers': [86, 24, 7], 'representative': 64, 'size': 2}
-
id: 143140926
{'aut_label': '15A1', 'centralizer': '2.a1.a1', 'counter': 88, 'group_counter': 4620, 'group_order': 960, 'label': '15A-2', 'order': 15, 'powers': [85, 25, 7], 'representative': 896, 'size': 2}
-
id: 143140927
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 89, 'group_counter': 4620, 'group_order': 960, 'label': '20A1', 'order': 20, 'powers': [41, 91, 8], 'representative': 388, 'size': 1}
-
id: 143140929
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 90, 'group_counter': 4620, 'group_order': 960, 'label': '20A-1', 'order': 20, 'powers': [42, 92, 9], 'representative': 588, 'size': 1}
-
id: 143140930
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 91, 'group_counter': 4620, 'group_order': 960, 'label': '20A3', 'order': 20, 'powers': [43, 95, 9], 'representative': 204, 'size': 1}
-
id: 143140931
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 92, 'group_counter': 4620, 'group_order': 960, 'label': '20A-3', 'order': 20, 'powers': [44, 96, 8], 'representative': 772, 'size': 1}
-
id: 143140932
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 93, 'group_counter': 4620, 'group_order': 960, 'label': '20A7', 'order': 20, 'powers': [44, 89, 9], 'representative': 780, 'size': 1}
-
id: 143140933
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 94, 'group_counter': 4620, 'group_order': 960, 'label': '20A-7', 'order': 20, 'powers': [43, 90, 8], 'representative': 196, 'size': 1}
-
id: 143140934
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 95, 'group_counter': 4620, 'group_order': 960, 'label': '20A9', 'order': 20, 'powers': [42, 93, 8], 'representative': 580, 'size': 1}
-
id: 143140935
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 96, 'group_counter': 4620, 'group_order': 960, 'label': '20A-9', 'order': 20, 'powers': [41, 94, 9], 'representative': 396, 'size': 1}
-
id: 143140936
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 97, 'group_counter': 4620, 'group_order': 960, 'label': '20B1', 'order': 20, 'powers': [41, 99, 10], 'representative': 868, 'size': 1}
-
id: 143140937
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 98, 'group_counter': 4620, 'group_order': 960, 'label': '20B-1', 'order': 20, 'powers': [42, 100, 11], 'representative': 108, 'size': 1}
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id: 143140938
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 99, 'group_counter': 4620, 'group_order': 960, 'label': '20B3', 'order': 20, 'powers': [43, 103, 11], 'representative': 684, 'size': 1}
-
id: 143140641
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 100, 'group_counter': 4620, 'group_order': 960, 'label': '20B-3', 'order': 20, 'powers': [44, 104, 10], 'representative': 292, 'size': 1}
-
id: 143140642
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 101, 'group_counter': 4620, 'group_order': 960, 'label': '20B7', 'order': 20, 'powers': [44, 97, 11], 'representative': 300, 'size': 1}
-
id: 143140643
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 102, 'group_counter': 4620, 'group_order': 960, 'label': '20B-7', 'order': 20, 'powers': [43, 98, 10], 'representative': 676, 'size': 1}
-
id: 143140644
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 103, 'group_counter': 4620, 'group_order': 960, 'label': '20B9', 'order': 20, 'powers': [42, 101, 10], 'representative': 100, 'size': 1}
-
id: 143140645
{'aut_label': '20A1', 'centralizer': '1.a1.a1', 'counter': 104, 'group_counter': 4620, 'group_order': 960, 'label': '20B-9', 'order': 20, 'powers': [41, 102, 11], 'representative': 876, 'size': 1}
-
id: 143140646
{'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 105, 'group_counter': 4620, 'group_order': 960, 'label': '20C1', 'order': 20, 'powers': [45, 107, 12], 'representative': 48, 'size': 2}
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id: 143140647
{'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 106, 'group_counter': 4620, 'group_order': 960, 'label': '20C-1', 'order': 20, 'powers': [46, 108, 12], 'representative': 912, 'size': 2}
-
id: 143140648
{'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 107, 'group_counter': 4620, 'group_order': 960, 'label': '20C3', 'order': 20, 'powers': [47, 106, 12], 'representative': 144, 'size': 2}
-
id: 143140649
{'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 108, 'group_counter': 4620, 'group_order': 960, 'label': '20C-3', 'order': 20, 'powers': [48, 105, 12], 'representative': 816, 'size': 2}
-
id: 143140650
{'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 109, 'group_counter': 4620, 'group_order': 960, 'label': '20D1', 'order': 20, 'powers': [45, 111, 13], 'representative': 56, 'size': 2}
-
id: 143140652
{'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 110, 'group_counter': 4620, 'group_order': 960, 'label': '20D-1', 'order': 20, 'powers': [46, 112, 13], 'representative': 920, 'size': 2}
-
id: 143140653
{'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 111, 'group_counter': 4620, 'group_order': 960, 'label': '20D3', 'order': 20, 'powers': [47, 110, 13], 'representative': 152, 'size': 2}
-
id: 143140654
{'aut_label': '20C1', 'centralizer': '2.a1.a1', 'counter': 112, 'group_counter': 4620, 'group_order': 960, 'label': '20D-3', 'order': 20, 'powers': [48, 109, 13], 'representative': 824, 'size': 2}
-
id: 143140655
{'aut_label': '20E1', 'centralizer': '2.a1.a1', 'counter': 113, 'group_counter': 4620, 'group_order': 960, 'label': '20E1', 'order': 20, 'powers': [49, 115, 14], 'representative': 60, 'size': 2}
-
id: 143140656
{'aut_label': '20E1', 'centralizer': '2.a1.a1', 'counter': 114, 'group_counter': 4620, 'group_order': 960, 'label': '20E-1', 'order': 20, 'powers': [50, 116, 15], 'representative': 916, 'size': 2}
-
id: 143140657
{'aut_label': '20E1', 'centralizer': '2.a1.a1', 'counter': 115, 'group_counter': 4620, 'group_order': 960, 'label': '20E3', 'order': 20, 'powers': [51, 119, 15], 'representative': 148, 'size': 2}
-
id: 143140658
{'aut_label': '20E1', 'centralizer': '2.a1.a1', 'counter': 116, 'group_counter': 4620, 'group_order': 960, 'label': '20E-3', 'order': 20, 'powers': [52, 120, 14], 'representative': 828, 'size': 2}
-
id: 143140659
{'aut_label': '20E1', 'centralizer': '2.a1.a1', 'counter': 117, 'group_counter': 4620, 'group_order': 960, 'label': '20E7', 'order': 20, 'powers': [52, 113, 15], 'representative': 340, 'size': 2}
-
id: 143140660
{'aut_label': '20E1', 'centralizer': '2.a1.a1', 'counter': 118, 'group_counter': 4620, 'group_order': 960, 'label': '20E-7', 'order': 20, 'powers': [51, 114, 14], 'representative': 636, 'size': 2}
-
id: 143140661
{'aut_label': '20E1', 'centralizer': '2.a1.a1', 'counter': 119, 'group_counter': 4620, 'group_order': 960, 'label': '20E9', 'order': 20, 'powers': [50, 117, 14], 'representative': 444, 'size': 2}
-
id: 143140663
{'aut_label': '20E1', 'centralizer': '2.a1.a1', 'counter': 120, 'group_counter': 4620, 'group_order': 960, 'label': '20E-9', 'order': 20, 'powers': [49, 118, 15], 'representative': 532, 'size': 2}
-
id: 143140664
{'aut_label': '20F1', 'centralizer': '2.a1.a1', 'counter': 121, 'group_counter': 4620, 'group_order': 960, 'label': '20F1', 'order': 20, 'powers': [50, 123, 16], 'representative': 681, 'size': 2}
-
id: 143140665
{'aut_label': '20F1', 'centralizer': '2.a1.a1', 'counter': 122, 'group_counter': 4620, 'group_order': 960, 'label': '20F-1', 'order': 20, 'powers': [49, 124, 17], 'representative': 769, 'size': 2}
-
id: 143140666
{'aut_label': '20F1', 'centralizer': '2.a1.a1', 'counter': 123, 'group_counter': 4620, 'group_order': 960, 'label': '20F3', 'order': 20, 'powers': [52, 127, 17], 'representative': 577, 'size': 2}
-
id: 143140667
{'aut_label': '20F1', 'centralizer': '2.a1.a1', 'counter': 124, 'group_counter': 4620, 'group_order': 960, 'label': '20F-3', 'order': 20, 'powers': [51, 128, 16], 'representative': 873, 'size': 2}
-
id: 143140668
{'aut_label': '20F1', 'centralizer': '2.a1.a1', 'counter': 125, 'group_counter': 4620, 'group_order': 960, 'label': '20F7', 'order': 20, 'powers': [51, 121, 17], 'representative': 385, 'size': 2}
-
id: 143140669
{'aut_label': '20F1', 'centralizer': '2.a1.a1', 'counter': 126, 'group_counter': 4620, 'group_order': 960, 'label': '20F-7', 'order': 20, 'powers': [52, 122, 16], 'representative': 105, 'size': 2}
-
id: 143140670
{'aut_label': '20F1', 'centralizer': '2.a1.a1', 'counter': 127, 'group_counter': 4620, 'group_order': 960, 'label': '20F9', 'order': 20, 'powers': [49, 125, 16], 'representative': 297, 'size': 2}
-
id: 143140671
{'aut_label': '20F1', 'centralizer': '2.a1.a1', 'counter': 128, 'group_counter': 4620, 'group_order': 960, 'label': '20F-9', 'order': 20, 'powers': [50, 126, 17], 'representative': 193, 'size': 2}
-
id: 143140672
{'aut_label': '20G1', 'centralizer': '2.a1.a1', 'counter': 129, 'group_counter': 4620, 'group_order': 960, 'label': '20G1', 'order': 20, 'powers': [44, 131, 18], 'representative': 537, 'size': 2}
-
id: 143140674
{'aut_label': '20G1', 'centralizer': '2.a1.a1', 'counter': 130, 'group_counter': 4620, 'group_order': 960, 'label': '20G-1', 'order': 20, 'powers': [43, 132, 19], 'representative': 913, 'size': 2}
-
id: 143140675
{'aut_label': '20G1', 'centralizer': '2.a1.a1', 'counter': 131, 'group_counter': 4620, 'group_order': 960, 'label': '20G3', 'order': 20, 'powers': [41, 135, 19], 'representative': 145, 'size': 2}
-
id: 143140676
{'aut_label': '20G1', 'centralizer': '2.a1.a1', 'counter': 132, 'group_counter': 4620, 'group_order': 960, 'label': '20G-3', 'order': 20, 'powers': [42, 136, 18], 'representative': 345, 'size': 2}
-
id: 143140677
{'aut_label': '20G1', 'centralizer': '2.a1.a1', 'counter': 133, 'group_counter': 4620, 'group_order': 960, 'label': '20G7', 'order': 20, 'powers': [42, 129, 19], 'representative': 337, 'size': 2}
-
id: 143140678
{'aut_label': '20G1', 'centralizer': '2.a1.a1', 'counter': 134, 'group_counter': 4620, 'group_order': 960, 'label': '20G-7', 'order': 20, 'powers': [41, 130, 18], 'representative': 153, 'size': 2}
-
id: 143140679
{'aut_label': '20G1', 'centralizer': '2.a1.a1', 'counter': 135, 'group_counter': 4620, 'group_order': 960, 'label': '20G9', 'order': 20, 'powers': [43, 133, 18], 'representative': 921, 'size': 2}
-
id: 143140680
{'aut_label': '20G1', 'centralizer': '2.a1.a1', 'counter': 136, 'group_counter': 4620, 'group_order': 960, 'label': '20G-9', 'order': 20, 'powers': [44, 134, 19], 'representative': 529, 'size': 2}
-
id: 143140681
{'aut_label': '20H1', 'centralizer': '2.a1.a1', 'counter': 137, 'group_counter': 4620, 'group_order': 960, 'label': '20H1', 'order': 20, 'powers': [46, 139, 20], 'representative': 677, 'size': 2}
-
id: 143140682
{'aut_label': '20H1', 'centralizer': '2.a1.a1', 'counter': 138, 'group_counter': 4620, 'group_order': 960, 'label': '20H-1', 'order': 20, 'powers': [45, 140, 21], 'representative': 773, 'size': 2}
-
id: 143140683
{'aut_label': '20H1', 'centralizer': '2.a1.a1', 'counter': 139, 'group_counter': 4620, 'group_order': 960, 'label': '20H3', 'order': 20, 'powers': [48, 143, 21], 'representative': 581, 'size': 2}
-
id: 143140685
{'aut_label': '20H1', 'centralizer': '2.a1.a1', 'counter': 140, 'group_counter': 4620, 'group_order': 960, 'label': '20H-3', 'order': 20, 'powers': [47, 144, 20], 'representative': 869, 'size': 2}
-
id: 143140686
{'aut_label': '20H1', 'centralizer': '2.a1.a1', 'counter': 141, 'group_counter': 4620, 'group_order': 960, 'label': '20H7', 'order': 20, 'powers': [47, 137, 21], 'representative': 389, 'size': 2}
-
id: 143140687
{'aut_label': '20H1', 'centralizer': '2.a1.a1', 'counter': 142, 'group_counter': 4620, 'group_order': 960, 'label': '20H-7', 'order': 20, 'powers': [48, 138, 20], 'representative': 101, 'size': 2}
-
id: 143140688
{'aut_label': '20H1', 'centralizer': '2.a1.a1', 'counter': 143, 'group_counter': 4620, 'group_order': 960, 'label': '20H9', 'order': 20, 'powers': [45, 141, 20], 'representative': 293, 'size': 2}
-
id: 143140689
{'aut_label': '20H1', 'centralizer': '2.a1.a1', 'counter': 144, 'group_counter': 4620, 'group_order': 960, 'label': '20H-9', 'order': 20, 'powers': [46, 142, 21], 'representative': 197, 'size': 2}
-
id: 143140690
{'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 145, 'group_counter': 4620, 'group_order': 960, 'label': '30A1', 'order': 30, 'powers': [87, 45, 26], 'representative': 32, 'size': 2}
-
id: 143140691
{'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 146, 'group_counter': 4620, 'group_order': 960, 'label': '30A-1', 'order': 30, 'powers': [88, 46, 26], 'representative': 928, 'size': 2}
-
id: 143140692
{'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 147, 'group_counter': 4620, 'group_order': 960, 'label': '30A7', 'order': 30, 'powers': [86, 48, 26], 'representative': 224, 'size': 2}
-
id: 143140693
{'aut_label': '30A1', 'centralizer': '2.a1.a1', 'counter': 148, 'group_counter': 4620, 'group_order': 960, 'label': '30A-7', 'order': 30, 'powers': [85, 47, 26], 'representative': 736, 'size': 2}
-
id: 143140694
{'aut_label': '30B1', 'centralizer': '2.a1.a1', 'counter': 149, 'group_counter': 4620, 'group_order': 960, 'label': '30B1', 'order': 30, 'powers': [88, 43, 27], 'representative': 136, 'size': 2}
-
id: 143140696
{'aut_label': '30B1', 'centralizer': '2.a1.a1', 'counter': 150, 'group_counter': 4620, 'group_order': 960, 'label': '30B-1', 'order': 30, 'powers': [87, 44, 27], 'representative': 840, 'size': 2}
-
id: 143140697
{'aut_label': '30B1', 'centralizer': '2.a1.a1', 'counter': 151, 'group_counter': 4620, 'group_order': 960, 'label': '30B7', 'order': 30, 'powers': [85, 41, 27], 'representative': 904, 'size': 2}
-
id: 143140698
{'aut_label': '30B1', 'centralizer': '2.a1.a1', 'counter': 152, 'group_counter': 4620, 'group_order': 960, 'label': '30B-7', 'order': 30, 'powers': [86, 42, 27], 'representative': 72, 'size': 2}
-
id: 143140699
{'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 153, 'group_counter': 4620, 'group_order': 960, 'label': '30C1', 'order': 30, 'powers': [87, 49, 28], 'representative': 40, 'size': 2}
-
id: 143140700
{'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 154, 'group_counter': 4620, 'group_order': 960, 'label': '30C-1', 'order': 30, 'powers': [88, 50, 28], 'representative': 936, 'size': 2}
-
id: 143140701
{'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 155, 'group_counter': 4620, 'group_order': 960, 'label': '30C7', 'order': 30, 'powers': [86, 52, 28], 'representative': 232, 'size': 2}
-
id: 143140702
{'aut_label': '30C1', 'centralizer': '2.a1.a1', 'counter': 156, 'group_counter': 4620, 'group_order': 960, 'label': '30C-7', 'order': 30, 'powers': [85, 51, 28], 'representative': 744, 'size': 2}
-
id: 143140703
{'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 157, 'group_counter': 4620, 'group_order': 960, 'label': '30D1', 'order': 30, 'powers': [85, 53, 29], 'representative': 21, 'size': 2}
-
id: 143140704
{'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 158, 'group_counter': 4620, 'group_order': 960, 'label': '30D-1', 'order': 30, 'powers': [86, 54, 30], 'representative': 469, 'size': 2}
-
id: 143140705
{'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 159, 'group_counter': 4620, 'group_order': 960, 'label': '30D7', 'order': 30, 'powers': [87, 56, 29], 'representative': 597, 'size': 2}
-
id: 143140707
{'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 160, 'group_counter': 4620, 'group_order': 960, 'label': '30D-7', 'order': 30, 'powers': [88, 55, 30], 'representative': 853, 'size': 2}
-
id: 143140708
{'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 161, 'group_counter': 4620, 'group_order': 960, 'label': '30D11', 'order': 30, 'powers': [85, 53, 30], 'representative': 661, 'size': 2}
-
id: 143140709
{'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 162, 'group_counter': 4620, 'group_order': 960, 'label': '30D-11', 'order': 30, 'powers': [86, 54, 29], 'representative': 789, 'size': 2}
-
id: 143140710
{'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 163, 'group_counter': 4620, 'group_order': 960, 'label': '30D13', 'order': 30, 'powers': [88, 55, 29], 'representative': 213, 'size': 2}
-
id: 143140711
{'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 164, 'group_counter': 4620, 'group_order': 960, 'label': '30D-13', 'order': 30, 'powers': [87, 56, 30], 'representative': 277, 'size': 2}
-
id: 143140712
{'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 165, 'group_counter': 4620, 'group_order': 960, 'label': '30E1', 'order': 30, 'powers': [85, 57, 31], 'representative': 29, 'size': 2}
-
id: 143140713
{'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 166, 'group_counter': 4620, 'group_order': 960, 'label': '30E-1', 'order': 30, 'powers': [86, 58, 32], 'representative': 309, 'size': 2}
-
id: 143140714
{'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 167, 'group_counter': 4620, 'group_order': 960, 'label': '30E7', 'order': 30, 'powers': [87, 60, 31], 'representative': 605, 'size': 2}
-
id: 143140715
{'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 168, 'group_counter': 4620, 'group_order': 960, 'label': '30E-7', 'order': 30, 'powers': [88, 59, 32], 'representative': 693, 'size': 2}
-
id: 143140716
{'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 169, 'group_counter': 4620, 'group_order': 960, 'label': '30E11', 'order': 30, 'powers': [85, 57, 32], 'representative': 501, 'size': 2}
-
id: 143140718
{'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 170, 'group_counter': 4620, 'group_order': 960, 'label': '30E-11', 'order': 30, 'powers': [86, 58, 31], 'representative': 797, 'size': 2}
-
id: 143140719
{'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 171, 'group_counter': 4620, 'group_order': 960, 'label': '30E13', 'order': 30, 'powers': [88, 59, 31], 'representative': 221, 'size': 2}
-
id: 143140720
{'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 172, 'group_counter': 4620, 'group_order': 960, 'label': '30E-13', 'order': 30, 'powers': [87, 60, 32], 'representative': 117, 'size': 2}
-
id: 143140721
{'aut_label': '40A1', 'centralizer': '12.h1.a1', 'counter': 173, 'group_counter': 4620, 'group_order': 960, 'label': '40A1', 'order': 40, 'powers': [89, 175, 33], 'representative': 194, 'size': 12}
-
id: 143140722
{'aut_label': '40A1', 'centralizer': '12.h1.a1', 'counter': 174, 'group_counter': 4620, 'group_order': 960, 'label': '40A-1', 'order': 40, 'powers': [90, 176, 34], 'representative': 134, 'size': 12}
-
id: 143140723
{'aut_label': '40A1', 'centralizer': '12.h1.a1', 'counter': 175, 'group_counter': 4620, 'group_order': 960, 'label': '40A3', 'order': 40, 'powers': [91, 179, 34], 'representative': 582, 'size': 12}
-
id: 143140724
{'aut_label': '40A1', 'centralizer': '12.h1.a1', 'counter': 176, 'group_counter': 4620, 'group_order': 960, 'label': '40A-3', 'order': 40, 'powers': [92, 180, 33], 'representative': 66, 'size': 12}
-
id: 143140725
{'aut_label': '40A1', 'centralizer': '12.h1.a1', 'counter': 177, 'group_counter': 4620, 'group_order': 960, 'label': '40A7', 'order': 40, 'powers': [93, 173, 34], 'representative': 70, 'size': 12}
-
id: 143140726
{'aut_label': '40A1', 'centralizer': '12.h1.a1', 'counter': 178, 'group_counter': 4620, 'group_order': 960, 'label': '40A-7', 'order': 40, 'powers': [94, 174, 33], 'representative': 578, 'size': 12}
-
id: 143140727
{'aut_label': '40A1', 'centralizer': '12.h1.a1', 'counter': 179, 'group_counter': 4620, 'group_order': 960, 'label': '40A9', 'order': 40, 'powers': [95, 177, 33], 'representative': 130, 'size': 12}
-
id: 143140729
{'aut_label': '40A1', 'centralizer': '12.h1.a1', 'counter': 180, 'group_counter': 4620, 'group_order': 960, 'label': '40A-9', 'order': 40, 'powers': [96, 178, 34], 'representative': 198, 'size': 12}
-
id: 143140730
{'aut_label': '40A1', 'centralizer': '12.h1.b1', 'counter': 181, 'group_counter': 4620, 'group_order': 960, 'label': '40B1', 'order': 40, 'powers': [94, 183, 35], 'representative': 18, 'size': 12}
-
id: 143140731
{'aut_label': '40A1', 'centralizer': '12.h1.b1', 'counter': 182, 'group_counter': 4620, 'group_order': 960, 'label': '40B-1', 'order': 40, 'powers': [93, 184, 36], 'representative': 150, 'size': 12}
-
id: 143140732
{'aut_label': '40A1', 'centralizer': '12.h1.b1', 'counter': 183, 'group_counter': 4620, 'group_order': 960, 'label': '40B3', 'order': 40, 'powers': [90, 187, 36], 'representative': 214, 'size': 12}
-
id: 143140733
{'aut_label': '40A1', 'centralizer': '12.h1.b1', 'counter': 184, 'group_counter': 4620, 'group_order': 960, 'label': '40B-3', 'order': 40, 'powers': [89, 188, 35], 'representative': 594, 'size': 12}
-
id: 143140734
{'aut_label': '40A1', 'centralizer': '12.h1.b1', 'counter': 185, 'group_counter': 4620, 'group_order': 960, 'label': '40B7', 'order': 40, 'powers': [96, 181, 36], 'representative': 598, 'size': 12}
-
id: 143140735
{'aut_label': '40A1', 'centralizer': '12.h1.b1', 'counter': 186, 'group_counter': 4620, 'group_order': 960, 'label': '40B-7', 'order': 40, 'powers': [95, 182, 35], 'representative': 210, 'size': 12}
-
id: 143140736
{'aut_label': '40A1', 'centralizer': '12.h1.b1', 'counter': 187, 'group_counter': 4620, 'group_order': 960, 'label': '40B9', 'order': 40, 'powers': [92, 185, 35], 'representative': 146, 'size': 12}
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id: 143140737
{'aut_label': '40A1', 'centralizer': '12.h1.b1', 'counter': 188, 'group_counter': 4620, 'group_order': 960, 'label': '40B-9', 'order': 40, 'powers': [91, 186, 36], 'representative': 22, 'size': 12}
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id: 143140738
{'aut_label': '40A1', 'centralizer': '12.h1.c1', 'counter': 189, 'group_counter': 4620, 'group_order': 960, 'label': '40C1', 'order': 40, 'powers': [97, 191, 37], 'representative': 195, 'size': 12}
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id: 143140740
{'aut_label': '40A1', 'centralizer': '12.h1.c1', 'counter': 190, 'group_counter': 4620, 'group_order': 960, 'label': '40C-1', 'order': 40, 'powers': [98, 192, 38], 'representative': 135, 'size': 12}
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id: 143140741
{'aut_label': '40A1', 'centralizer': '12.h1.c1', 'counter': 191, 'group_counter': 4620, 'group_order': 960, 'label': '40C3', 'order': 40, 'powers': [99, 195, 38], 'representative': 583, 'size': 12}
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id: 143140742
{'aut_label': '40A1', 'centralizer': '12.h1.c1', 'counter': 192, 'group_counter': 4620, 'group_order': 960, 'label': '40C-3', 'order': 40, 'powers': [100, 196, 37], 'representative': 67, 'size': 12}
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id: 143140743
{'aut_label': '40A1', 'centralizer': '12.h1.c1', 'counter': 193, 'group_counter': 4620, 'group_order': 960, 'label': '40C7', 'order': 40, 'powers': [101, 189, 38], 'representative': 71, 'size': 12}
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id: 143140744
{'aut_label': '40A1', 'centralizer': '12.h1.c1', 'counter': 194, 'group_counter': 4620, 'group_order': 960, 'label': '40C-7', 'order': 40, 'powers': [102, 190, 37], 'representative': 579, 'size': 12}
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id: 143140745
{'aut_label': '40A1', 'centralizer': '12.h1.c1', 'counter': 195, 'group_counter': 4620, 'group_order': 960, 'label': '40C9', 'order': 40, 'powers': [103, 193, 37], 'representative': 131, 'size': 12}
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id: 143140746
{'aut_label': '40A1', 'centralizer': '12.h1.c1', 'counter': 196, 'group_counter': 4620, 'group_order': 960, 'label': '40C-9', 'order': 40, 'powers': [104, 194, 38], 'representative': 199, 'size': 12}
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id: 143140747
{'aut_label': '40A1', 'centralizer': '12.h1.d1', 'counter': 197, 'group_counter': 4620, 'group_order': 960, 'label': '40D1', 'order': 40, 'powers': [102, 199, 39], 'representative': 19, 'size': 12}
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id: 143140748
{'aut_label': '40A1', 'centralizer': '12.h1.d1', 'counter': 198, 'group_counter': 4620, 'group_order': 960, 'label': '40D-1', 'order': 40, 'powers': [101, 200, 40], 'representative': 151, 'size': 12}
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id: 143140749
{'aut_label': '40A1', 'centralizer': '12.h1.d1', 'counter': 199, 'group_counter': 4620, 'group_order': 960, 'label': '40D3', 'order': 40, 'powers': [98, 203, 40], 'representative': 215, 'size': 12}
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id: 143140752
{'aut_label': '40A1', 'centralizer': '12.h1.d1', 'counter': 200, 'group_counter': 4620, 'group_order': 960, 'label': '40D-3', 'order': 40, 'powers': [97, 204, 39], 'representative': 595, 'size': 12}
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id: 143140753
{'aut_label': '40A1', 'centralizer': '12.h1.d1', 'counter': 201, 'group_counter': 4620, 'group_order': 960, 'label': '40D7', 'order': 40, 'powers': [104, 197, 40], 'representative': 599, 'size': 12}
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id: 143140754
{'aut_label': '40A1', 'centralizer': '12.h1.d1', 'counter': 202, 'group_counter': 4620, 'group_order': 960, 'label': '40D-7', 'order': 40, 'powers': [103, 198, 39], 'representative': 211, 'size': 12}
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id: 143140755
{'aut_label': '40A1', 'centralizer': '12.h1.d1', 'counter': 203, 'group_counter': 4620, 'group_order': 960, 'label': '40D9', 'order': 40, 'powers': [100, 201, 39], 'representative': 147, 'size': 12}
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id: 143140756
{'aut_label': '40A1', 'centralizer': '12.h1.d1', 'counter': 204, 'group_counter': 4620, 'group_order': 960, 'label': '40D-9', 'order': 40, 'powers': [99, 202, 40], 'representative': 23, 'size': 12}
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id: 143140757
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 205, 'group_counter': 4620, 'group_order': 960, 'label': '60A1', 'order': 60, 'powers': [145, 105, 61], 'representative': 16, 'size': 2}
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id: 143140758
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 206, 'group_counter': 4620, 'group_order': 960, 'label': '60A-1', 'order': 60, 'powers': [146, 106, 61], 'representative': 784, 'size': 2}
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id: 143140759
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 207, 'group_counter': 4620, 'group_order': 960, 'label': '60A7', 'order': 60, 'powers': [147, 108, 62], 'representative': 272, 'size': 2}
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id: 143140760
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 208, 'group_counter': 4620, 'group_order': 960, 'label': '60A-7', 'order': 60, 'powers': [148, 107, 62], 'representative': 848, 'size': 2}
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id: 143140761
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 209, 'group_counter': 4620, 'group_order': 960, 'label': '60A13', 'order': 60, 'powers': [148, 107, 61], 'representative': 208, 'size': 2}
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id: 143140763
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 210, 'group_counter': 4620, 'group_order': 960, 'label': '60A-13', 'order': 60, 'powers': [147, 108, 61], 'representative': 592, 'size': 2}
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id: 143140764
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 211, 'group_counter': 4620, 'group_order': 960, 'label': '60A19', 'order': 60, 'powers': [146, 106, 62], 'representative': 464, 'size': 2}
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id: 143140765
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 212, 'group_counter': 4620, 'group_order': 960, 'label': '60A-19', 'order': 60, 'powers': [145, 105, 62], 'representative': 656, 'size': 2}
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id: 143140766
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 213, 'group_counter': 4620, 'group_order': 960, 'label': '60B1', 'order': 60, 'powers': [145, 109, 63], 'representative': 24, 'size': 2}
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id: 143140767
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 214, 'group_counter': 4620, 'group_order': 960, 'label': '60B-1', 'order': 60, 'powers': [146, 110, 63], 'representative': 792, 'size': 2}
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id: 143140768
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 215, 'group_counter': 4620, 'group_order': 960, 'label': '60B7', 'order': 60, 'powers': [147, 112, 64], 'representative': 280, 'size': 2}
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id: 143140769
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 216, 'group_counter': 4620, 'group_order': 960, 'label': '60B-7', 'order': 60, 'powers': [148, 111, 64], 'representative': 856, 'size': 2}
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id: 143140770
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 217, 'group_counter': 4620, 'group_order': 960, 'label': '60B13', 'order': 60, 'powers': [148, 111, 63], 'representative': 216, 'size': 2}
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id: 143140771
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 218, 'group_counter': 4620, 'group_order': 960, 'label': '60B-13', 'order': 60, 'powers': [147, 112, 63], 'representative': 600, 'size': 2}
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id: 143140772
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 219, 'group_counter': 4620, 'group_order': 960, 'label': '60B19', 'order': 60, 'powers': [146, 110, 64], 'representative': 472, 'size': 2}
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id: 143140774
{'aut_label': '60A1', 'centralizer': '2.a1.a1', 'counter': 220, 'group_counter': 4620, 'group_order': 960, 'label': '60B-19', 'order': 60, 'powers': [145, 109, 64], 'representative': 664, 'size': 2}
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id: 143140775
{'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 221, 'group_counter': 4620, 'group_order': 960, 'label': '60C1', 'order': 60, 'powers': [149, 91, 65], 'representative': 68, 'size': 2}
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id: 143140776
{'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 222, 'group_counter': 4620, 'group_order': 960, 'label': '60C-1', 'order': 60, 'powers': [150, 92, 66], 'representative': 268, 'size': 2}
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id: 143140777
{'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 223, 'group_counter': 4620, 'group_order': 960, 'label': '60C7', 'order': 60, 'powers': [151, 89, 66], 'representative': 140, 'size': 2}
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id: 143140778
{'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 224, 'group_counter': 4620, 'group_order': 960, 'label': '60C-7', 'order': 60, 'powers': [152, 90, 65], 'representative': 516, 'size': 2}
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id: 143140779
{'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 225, 'group_counter': 4620, 'group_order': 960, 'label': '60C11', 'order': 60, 'powers': [149, 94, 66], 'representative': 76, 'size': 2}
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id: 143140780
{'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 226, 'group_counter': 4620, 'group_order': 960, 'label': '60C-11', 'order': 60, 'powers': [150, 93, 65], 'representative': 260, 'size': 2}
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id: 143140781
{'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 227, 'group_counter': 4620, 'group_order': 960, 'label': '60C17', 'order': 60, 'powers': [151, 96, 65], 'representative': 132, 'size': 2}
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id: 143140782
{'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 228, 'group_counter': 4620, 'group_order': 960, 'label': '60C-17', 'order': 60, 'powers': [152, 95, 66], 'representative': 524, 'size': 2}
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id: 143140783
{'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 229, 'group_counter': 4620, 'group_order': 960, 'label': '60D1', 'order': 60, 'powers': [152, 98, 67], 'representative': 36, 'size': 2}
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id: 143140785
{'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 230, 'group_counter': 4620, 'group_order': 960, 'label': '60D-1', 'order': 60, 'powers': [151, 97, 68], 'representative': 620, 'size': 2}
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id: 143140786
{'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 231, 'group_counter': 4620, 'group_order': 960, 'label': '60D7', 'order': 60, 'powers': [149, 102, 68], 'representative': 236, 'size': 2}
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id: 143140787
{'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 232, 'group_counter': 4620, 'group_order': 960, 'label': '60D-7', 'order': 60, 'powers': [150, 101, 67], 'representative': 420, 'size': 2}
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id: 143140788
{'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 233, 'group_counter': 4620, 'group_order': 960, 'label': '60D11', 'order': 60, 'powers': [152, 103, 68], 'representative': 44, 'size': 2}
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id: 143140789
{'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 234, 'group_counter': 4620, 'group_order': 960, 'label': '60D-11', 'order': 60, 'powers': [151, 104, 67], 'representative': 612, 'size': 2}
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id: 143140790
{'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 235, 'group_counter': 4620, 'group_order': 960, 'label': '60D17', 'order': 60, 'powers': [149, 99, 67], 'representative': 228, 'size': 2}
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id: 143140791
{'aut_label': '60C1', 'centralizer': '2.a1.a1', 'counter': 236, 'group_counter': 4620, 'group_order': 960, 'label': '60D-17', 'order': 60, 'powers': [150, 100, 68], 'representative': 428, 'size': 2}
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id: 143140792
{'aut_label': '60E1', 'centralizer': '2.a1.a1', 'counter': 237, 'group_counter': 4620, 'group_order': 960, 'label': '60E1', 'order': 60, 'powers': [153, 113, 69], 'representative': 20, 'size': 2}
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id: 143140793
{'aut_label': '60E1', 'centralizer': '2.a1.a1', 'counter': 238, 'group_counter': 4620, 'group_order': 960, 'label': '60E-1', 'order': 60, 'powers': [154, 114, 70], 'representative': 796, 'size': 2}
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id: 143140794
{'aut_label': '60E1', 'centralizer': '2.a1.a1', 'counter': 239, 'group_counter': 4620, 'group_order': 960, 'label': '60E7', 'order': 60, 'powers': [155, 117, 72], 'representative': 284, 'size': 2}
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id: 143140796
{'aut_label': '60E1', 'centralizer': '2.a1.a1', 'counter': 240, 'group_counter': 4620, 'group_order': 960, 'label': '60E-7', 'order': 60, 'powers': [156, 118, 71], 'representative': 852, 'size': 2}
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id: 143140797
{'aut_label': '60E1', 'centralizer': '2.a1.a1', 'counter': 241, 'group_counter': 4620, 'group_order': 960, 'label': '60E11', 'order': 60, 'powers': [153, 120, 70], 'representative': 28, 'size': 2}
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id: 143140798
{'aut_label': '60E1', 'centralizer': '2.a1.a1', 'counter': 242, 'group_counter': 4620, 'group_order': 960, 'label': '60E-11', 'order': 60, 'powers': [154, 119, 69], 'representative': 788, 'size': 2}
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id: 143140799
{'aut_label': '60E1', 'centralizer': '2.a1.a1', 'counter': 243, 'group_counter': 4620, 'group_order': 960, 'label': '60E13', 'order': 60, 'powers': [156, 118, 69], 'representative': 212, 'size': 2}
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id: 143140800
{'aut_label': '60E1', 'centralizer': '2.a1.a1', 'counter': 244, 'group_counter': 4620, 'group_order': 960, 'label': '60E-13', 'order': 60, 'powers': [155, 117, 70], 'representative': 604, 'size': 2}
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id: 143140801
{'aut_label': '60E1', 'centralizer': '2.a1.a1', 'counter': 245, 'group_counter': 4620, 'group_order': 960, 'label': '60E17', 'order': 60, 'powers': [155, 116, 71], 'representative': 276, 'size': 2}
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id: 143140802
{'aut_label': '60E1', 'centralizer': '2.a1.a1', 'counter': 246, 'group_counter': 4620, 'group_order': 960, 'label': '60E-17', 'order': 60, 'powers': [156, 115, 72], 'representative': 860, 'size': 2}
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id: 143140803
{'aut_label': '60E1', 'centralizer': '2.a1.a1', 'counter': 247, 'group_counter': 4620, 'group_order': 960, 'label': '60E19', 'order': 60, 'powers': [154, 114, 72], 'representative': 476, 'size': 2}
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id: 143140804
{'aut_label': '60E1', 'centralizer': '2.a1.a1', 'counter': 248, 'group_counter': 4620, 'group_order': 960, 'label': '60E-19', 'order': 60, 'powers': [153, 113, 71], 'representative': 660, 'size': 2}
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id: 143140805
{'aut_label': '60E1', 'centralizer': '2.a1.a1', 'counter': 249, 'group_counter': 4620, 'group_order': 960, 'label': '60E23', 'order': 60, 'powers': [156, 115, 70], 'representative': 220, 'size': 2}
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id: 143140807
{'aut_label': '60E1', 'centralizer': '2.a1.a1', 'counter': 250, 'group_counter': 4620, 'group_order': 960, 'label': '60E-23', 'order': 60, 'powers': [155, 116, 69], 'representative': 596, 'size': 2}
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id: 143140808
{'aut_label': '60E1', 'centralizer': '2.a1.a1', 'counter': 251, 'group_counter': 4620, 'group_order': 960, 'label': '60E29', 'order': 60, 'powers': [154, 119, 71], 'representative': 468, 'size': 2}
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id: 143140809
{'aut_label': '60E1', 'centralizer': '2.a1.a1', 'counter': 252, 'group_counter': 4620, 'group_order': 960, 'label': '60E-29', 'order': 60, 'powers': [153, 120, 72], 'representative': 668, 'size': 2}
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id: 143140810
{'aut_label': '60F1', 'centralizer': '2.a1.a1', 'counter': 253, 'group_counter': 4620, 'group_order': 960, 'label': '60F1', 'order': 60, 'powers': [154, 121, 73], 'representative': 65, 'size': 2}
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id: 143140811
{'aut_label': '60F1', 'centralizer': '2.a1.a1', 'counter': 254, 'group_counter': 4620, 'group_order': 960, 'label': '60F-1', 'order': 60, 'powers': [153, 122, 74], 'representative': 425, 'size': 2}
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id: 143140812
{'aut_label': '60F1', 'centralizer': '2.a1.a1', 'counter': 255, 'group_counter': 4620, 'group_order': 960, 'label': '60F7', 'order': 60, 'powers': [156, 125, 76], 'representative': 609, 'size': 2}
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id: 143140813
{'aut_label': '60F1', 'centralizer': '2.a1.a1', 'counter': 256, 'group_counter': 4620, 'group_order': 960, 'label': '60F-7', 'order': 60, 'powers': [155, 126, 75], 'representative': 513, 'size': 2}
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id: 143140814
{'aut_label': '60F1', 'centralizer': '2.a1.a1', 'counter': 257, 'group_counter': 4620, 'group_order': 960, 'label': '60F11', 'order': 60, 'powers': [154, 128, 74], 'representative': 233, 'size': 2}
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id: 143140815
{'aut_label': '60F1', 'centralizer': '2.a1.a1', 'counter': 258, 'group_counter': 4620, 'group_order': 960, 'label': '60F-11', 'order': 60, 'powers': [153, 127, 73], 'representative': 257, 'size': 2}
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id: 143140816
{'aut_label': '60F1', 'centralizer': '2.a1.a1', 'counter': 259, 'group_counter': 4620, 'group_order': 960, 'label': '60F13', 'order': 60, 'powers': [155, 126, 73], 'representative': 833, 'size': 2}
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id: 143140818
{'aut_label': '60F1', 'centralizer': '2.a1.a1', 'counter': 260, 'group_counter': 4620, 'group_order': 960, 'label': '60F-13', 'order': 60, 'powers': [156, 125, 74], 'representative': 617, 'size': 2}
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id: 143140819
{'aut_label': '60F1', 'centralizer': '2.a1.a1', 'counter': 261, 'group_counter': 4620, 'group_order': 960, 'label': '60F17', 'order': 60, 'powers': [156, 124, 75], 'representative': 129, 'size': 2}
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id: 143140820
{'aut_label': '60F1', 'centralizer': '2.a1.a1', 'counter': 262, 'group_counter': 4620, 'group_order': 960, 'label': '60F-17', 'order': 60, 'powers': [155, 123, 76], 'representative': 33, 'size': 2}
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id: 143140821
{'aut_label': '60F1', 'centralizer': '2.a1.a1', 'counter': 263, 'group_counter': 4620, 'group_order': 960, 'label': '60F19', 'order': 60, 'powers': [153, 122, 76], 'representative': 417, 'size': 2}
-
id: 143140822
{'aut_label': '60F1', 'centralizer': '2.a1.a1', 'counter': 264, 'group_counter': 4620, 'group_order': 960, 'label': '60F-19', 'order': 60, 'powers': [154, 121, 75], 'representative': 73, 'size': 2}
-
id: 143140823
{'aut_label': '60F1', 'centralizer': '2.a1.a1', 'counter': 265, 'group_counter': 4620, 'group_order': 960, 'label': '60F23', 'order': 60, 'powers': [155, 123, 74], 'representative': 41, 'size': 2}
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id: 143140824
{'aut_label': '60F1', 'centralizer': '2.a1.a1', 'counter': 266, 'group_counter': 4620, 'group_order': 960, 'label': '60F-23', 'order': 60, 'powers': [156, 124, 73], 'representative': 449, 'size': 2}
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id: 143140825
{'aut_label': '60F1', 'centralizer': '2.a1.a1', 'counter': 267, 'group_counter': 4620, 'group_order': 960, 'label': '60F29', 'order': 60, 'powers': [153, 127, 75], 'representative': 897, 'size': 2}
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id: 143140826
{'aut_label': '60F1', 'centralizer': '2.a1.a1', 'counter': 268, 'group_counter': 4620, 'group_order': 960, 'label': '60F-29', 'order': 60, 'powers': [154, 128, 76], 'representative': 225, 'size': 2}
-
id: 143140827
{'aut_label': '60G1', 'centralizer': '2.a1.a1', 'counter': 269, 'group_counter': 4620, 'group_order': 960, 'label': '60G1', 'order': 60, 'powers': [150, 129, 77], 'representative': 17, 'size': 2}
-
id: 143140829
{'aut_label': '60G1', 'centralizer': '2.a1.a1', 'counter': 270, 'group_counter': 4620, 'group_order': 960, 'label': '60G-1', 'order': 60, 'powers': [149, 130, 78], 'representative': 305, 'size': 2}
-
id: 143140830
{'aut_label': '60G1', 'centralizer': '2.a1.a1', 'counter': 271, 'group_counter': 4620, 'group_order': 960, 'label': '60G7', 'order': 60, 'powers': [152, 133, 80], 'representative': 601, 'size': 2}
-
id: 143140831
{'aut_label': '60G1', 'centralizer': '2.a1.a1', 'counter': 272, 'group_counter': 4620, 'group_order': 960, 'label': '60G-7', 'order': 60, 'powers': [151, 134, 79], 'representative': 849, 'size': 2}
-
id: 143140832
{'aut_label': '60G1', 'centralizer': '2.a1.a1', 'counter': 273, 'group_counter': 4620, 'group_order': 960, 'label': '60G11', 'order': 60, 'powers': [150, 136, 78], 'representative': 497, 'size': 2}
-
id: 143140833
{'aut_label': '60G1', 'centralizer': '2.a1.a1', 'counter': 274, 'group_counter': 4620, 'group_order': 960, 'label': '60G-11', 'order': 60, 'powers': [149, 135, 77], 'representative': 785, 'size': 2}
-
id: 143140834
{'aut_label': '60G1', 'centralizer': '2.a1.a1', 'counter': 275, 'group_counter': 4620, 'group_order': 960, 'label': '60G13', 'order': 60, 'powers': [151, 134, 77], 'representative': 209, 'size': 2}
-
id: 143140835
{'aut_label': '60G1', 'centralizer': '2.a1.a1', 'counter': 276, 'group_counter': 4620, 'group_order': 960, 'label': '60G-13', 'order': 60, 'powers': [152, 133, 78], 'representative': 113, 'size': 2}
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id: 143140836
{'aut_label': '60G1', 'centralizer': '2.a1.a1', 'counter': 277, 'group_counter': 4620, 'group_order': 960, 'label': '60G17', 'order': 60, 'powers': [152, 132, 79], 'representative': 273, 'size': 2}
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id: 143140837
{'aut_label': '60G1', 'centralizer': '2.a1.a1', 'counter': 278, 'group_counter': 4620, 'group_order': 960, 'label': '60G-17', 'order': 60, 'powers': [151, 131, 80], 'representative': 217, 'size': 2}
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id: 143140838
{'aut_label': '60G1', 'centralizer': '2.a1.a1', 'counter': 279, 'group_counter': 4620, 'group_order': 960, 'label': '60G19', 'order': 60, 'powers': [149, 130, 80], 'representative': 793, 'size': 2}
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id: 143140840
{'aut_label': '60G1', 'centralizer': '2.a1.a1', 'counter': 280, 'group_counter': 4620, 'group_order': 960, 'label': '60G-19', 'order': 60, 'powers': [150, 129, 79], 'representative': 657, 'size': 2}
-
id: 143140841
{'aut_label': '60G1', 'centralizer': '2.a1.a1', 'counter': 281, 'group_counter': 4620, 'group_order': 960, 'label': '60G23', 'order': 60, 'powers': [151, 131, 78], 'representative': 689, 'size': 2}
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id: 143140842
{'aut_label': '60G1', 'centralizer': '2.a1.a1', 'counter': 282, 'group_counter': 4620, 'group_order': 960, 'label': '60G-23', 'order': 60, 'powers': [152, 132, 77], 'representative': 593, 'size': 2}
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id: 143140843
{'aut_label': '60G1', 'centralizer': '2.a1.a1', 'counter': 283, 'group_counter': 4620, 'group_order': 960, 'label': '60G29', 'order': 60, 'powers': [149, 135, 79], 'representative': 465, 'size': 2}
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id: 143140844
{'aut_label': '60G1', 'centralizer': '2.a1.a1', 'counter': 284, 'group_counter': 4620, 'group_order': 960, 'label': '60G-29', 'order': 60, 'powers': [150, 136, 80], 'representative': 25, 'size': 2}
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id: 143140845
{'aut_label': '60H1', 'centralizer': '2.a1.a1', 'counter': 285, 'group_counter': 4620, 'group_order': 960, 'label': '60H1', 'order': 60, 'powers': [146, 137, 81], 'representative': 69, 'size': 2}
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id: 143140846
{'aut_label': '60H1', 'centralizer': '2.a1.a1', 'counter': 286, 'group_counter': 4620, 'group_order': 960, 'label': '60H-1', 'order': 60, 'powers': [145, 138, 82], 'representative': 421, 'size': 2}
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id: 143140847
{'aut_label': '60H1', 'centralizer': '2.a1.a1', 'counter': 287, 'group_counter': 4620, 'group_order': 960, 'label': '60H7', 'order': 60, 'powers': [148, 141, 84], 'representative': 621, 'size': 2}
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id: 143140848
{'aut_label': '60H1', 'centralizer': '2.a1.a1', 'counter': 288, 'group_counter': 4620, 'group_order': 960, 'label': '60H-7', 'order': 60, 'powers': [147, 142, 83], 'representative': 517, 'size': 2}
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id: 143140849
{'aut_label': '60H1', 'centralizer': '2.a1.a1', 'counter': 289, 'group_counter': 4620, 'group_order': 960, 'label': '60H11', 'order': 60, 'powers': [146, 144, 82], 'representative': 229, 'size': 2}
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id: 143140851
{'aut_label': '60H1', 'centralizer': '2.a1.a1', 'counter': 290, 'group_counter': 4620, 'group_order': 960, 'label': '60H-11', 'order': 60, 'powers': [145, 143, 81], 'representative': 261, 'size': 2}
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id: 143140852
{'aut_label': '60H1', 'centralizer': '2.a1.a1', 'counter': 291, 'group_counter': 4620, 'group_order': 960, 'label': '60H13', 'order': 60, 'powers': [147, 142, 81], 'representative': 837, 'size': 2}
-
id: 143140853
{'aut_label': '60H1', 'centralizer': '2.a1.a1', 'counter': 292, 'group_counter': 4620, 'group_order': 960, 'label': '60H-13', 'order': 60, 'powers': [148, 141, 82], 'representative': 613, 'size': 2}
-
id: 143140854
{'aut_label': '60H1', 'centralizer': '2.a1.a1', 'counter': 293, 'group_counter': 4620, 'group_order': 960, 'label': '60H17', 'order': 60, 'powers': [148, 140, 83], 'representative': 133, 'size': 2}
-
id: 143140855
{'aut_label': '60H1', 'centralizer': '2.a1.a1', 'counter': 294, 'group_counter': 4620, 'group_order': 960, 'label': '60H-17', 'order': 60, 'powers': [147, 139, 84], 'representative': 45, 'size': 2}
-
id: 143140856
{'aut_label': '60H1', 'centralizer': '2.a1.a1', 'counter': 295, 'group_counter': 4620, 'group_order': 960, 'label': '60H19', 'order': 60, 'powers': [145, 138, 84], 'representative': 429, 'size': 2}
-
id: 143140857
{'aut_label': '60H1', 'centralizer': '2.a1.a1', 'counter': 296, 'group_counter': 4620, 'group_order': 960, 'label': '60H-19', 'order': 60, 'powers': [146, 137, 83], 'representative': 77, 'size': 2}
-
id: 143140858
{'aut_label': '60H1', 'centralizer': '2.a1.a1', 'counter': 297, 'group_counter': 4620, 'group_order': 960, 'label': '60H23', 'order': 60, 'powers': [147, 139, 82], 'representative': 37, 'size': 2}
-
id: 143140859
{'aut_label': '60H1', 'centralizer': '2.a1.a1', 'counter': 298, 'group_counter': 4620, 'group_order': 960, 'label': '60H-23', 'order': 60, 'powers': [148, 140, 81], 'representative': 453, 'size': 2}
-
id: 143140860
{'aut_label': '60H1', 'centralizer': '2.a1.a1', 'counter': 299, 'group_counter': 4620, 'group_order': 960, 'label': '60H29', 'order': 60, 'powers': [145, 143, 83], 'representative': 901, 'size': 2}
-
id: 143140863
{'aut_label': '60H1', 'centralizer': '2.a1.a1', 'counter': 300, 'group_counter': 4620, 'group_order': 960, 'label': '60H-29', 'order': 60, 'powers': [146, 144, 84], 'representative': 237, 'size': 2}
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gps_qchar • Show schema
Hide schema
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id: 13652212
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1a', '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], 'schur_index': 1}
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id: 13652223
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1b', '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], 'schur_index': 1}
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id: 13652234
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1], 'schur_index': 1}
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id: 13652245
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1], 'schur_index': 1}
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id: 13652256
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1], 'schur_index': 1}
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id: 13652267
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1], 'schur_index': 1}
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id: 13652273
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1], 'schur_index': 1}
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id: 13652274
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 13652275
{'cdim': 1, 'counter': 9, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1i', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, -2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, -2, -2], 'schur_index': 1}
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id: 13652213
{'cdim': 1, 'counter': 10, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1j', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2], 'schur_index': 1}
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id: 13652214
{'cdim': 1, 'counter': 11, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, -2, -2, -2, -2], 'schur_index': 1}
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id: 13652215
{'cdim': 1, 'counter': 12, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1l', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, -2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, 2, 2, -2, 2], 'schur_index': 1}
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id: 13652229
{'cdim': 2, 'counter': 25, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, 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, 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, -1, -1, -1, -1, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
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id: 13652230
{'cdim': 2, 'counter': 26, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2b', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -1, 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, 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, 1, 1, -1, 1, -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, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1], 'schur_index': 1}
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id: 13652231
{'cdim': 2, 'counter': 27, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2c', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -1, 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, 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, -1, -1, 1, -1, -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, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1], 'schur_index': 1}
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id: 13652232
{'cdim': 2, 'counter': 28, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2d', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, 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, 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, 1, 1, 1, 1, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1], 'schur_index': 1}
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id: 13652233
{'cdim': 2, 'counter': 29, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2e', 'multiplicity': 1, 'nt': [12, 5], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -1, -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, 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, 1, -1, 1, 1, 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, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1], 'schur_index': 2}
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id: 13652235
{'cdim': 2, 'counter': 30, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2f', 'multiplicity': 1, 'nt': [12, 5], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -1, -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, 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, -1, 1, -1, -1, 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, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1], 'schur_index': 2}
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id: 13652236
{'cdim': 2, 'counter': 31, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2g', 'multiplicity': 1, 'nt': [12, 5], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, -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, 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, 1, -1, -1, 1, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1], 'schur_index': 2}
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id: 13652237
{'cdim': 2, 'counter': 32, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2h', 'multiplicity': 1, 'nt': [12, 5], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, -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, 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, -1, 1, 1, -1, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1], 'schur_index': 2}
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id: 13652216
{'cdim': 1, 'counter': 13, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1m', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 13652217
{'cdim': 1, 'counter': 14, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1n', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, 4, 4, 4, -4, 4, -4, -4, 4, 4, -4, -4, 4, -4, -1, -1, -1, -1, -4, -4, 4, -4, -4, 4, 4, -4, 4, 4, -4, 4, 4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -4, -4, 4, -4, 4, 4, -4, 4, -4, -4, 4, 4, 4, 4, 4, -4, -4, -4, -4, 4, 4, -4, 4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -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: 13652218
{'cdim': 1, 'counter': 15, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1o', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, 4, 4, 4, -4, 4, -4, -4, 4, 4, -4, -4, 4, -4, -1, -1, -1, -1, -4, -4, 4, -4, -4, 4, 4, 4, -4, -4, 4, -4, -4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -4, -4, 4, -4, 4, 4, -4, 4, -4, -4, 4, 4, 4, 4, 4, -4, -4, -4, -4, 4, 4, -4, 4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -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: 13652219
{'cdim': 1, 'counter': 16, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1p', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, 4, 4, 4, 4, -4, 4, -4, -4, -4, -4, 4, -4, 4, -1, -1, -1, -1, -4, -4, 4, -4, -4, 4, 4, -4, -4, -4, -4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, -4, 4, 4, 4, 4, 4, 4, 4, -4, 4, -4, -4, -4, 4, -4, -4, -4, -4, -4, -4, -4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -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: 13652220
{'cdim': 1, 'counter': 17, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1q', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, 4, 4, 4, 4, -4, 4, -4, -4, -4, -4, 4, -4, 4, -1, -1, -1, -1, -4, -4, 4, -4, -4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, -4, 4, 4, 4, 4, 4, 4, 4, -4, 4, -4, -4, -4, 4, -4, -4, -4, -4, -4, -4, -4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -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: 13652221
{'cdim': 1, 'counter': 18, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1r', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, 4, -4, -4, 4, -4, -4, -4, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, -4, 4, 4, -4, -4, -4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -4, -4, -4, -4, 4, 4, -4, 4, -4, -4, -4, 4, -4, -4, -4, -4, 4, 4, 4, -4, -4, 4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -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: 13652222
{'cdim': 1, 'counter': 19, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1s', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, 4, -4, -4, 4, -4, -4, -4, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, 4, 4, 4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -4, -4, -4, -4, 4, 4, -4, 4, -4, -4, -4, 4, -4, -4, -4, -4, 4, 4, 4, -4, -4, 4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -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: 13652224
{'cdim': 1, 'counter': 20, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1t', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 13652238
{'cdim': 2, 'counter': 33, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2i', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, 4, 4, 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, 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, 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, 4, -4, 4, 4, 4, -4, -4, 4, -4, -4, -4, -4, -4, -4, 4, -4, 4, 4, -4, 4, -4, -4, 4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652239
{'cdim': 2, 'counter': 34, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2j', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, 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, 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, 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, -4, -4, -4, -4, 4, 4, -4, 4, -4, 4, -4, -4, 4, 4, 4, 4, 4, -4, -4, -4, 4, 4, -4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652240
{'cdim': 2, 'counter': 35, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2k', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, -4, -4, -4, 4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 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, -4, 4, 0, -4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, -4, -4, -4, 0, 4, -4, 0, 0, -4, 0, -4, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, -4, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 4, -4, -4, 4, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, -4], 'schur_index': 1}
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id: 13652241
{'cdim': 2, 'counter': 36, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2l', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, -4, -4, -4, 4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 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, 4, -4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, -4, -4, -4, 0, 4, -4, 0, 0, -4, 0, -4, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, -4, 4, 4, -4, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 4], 'schur_index': 1}
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id: 13652242
{'cdim': 2, 'counter': 37, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2m', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, -4, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 4, 0, 0, 0, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 4, -4, 4, 0, -4, 4, 0, 0, -4, 0, -4, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0], 'schur_index': 1}
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id: 13652243
{'cdim': 2, 'counter': 38, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2n', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, -4, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, -4, 0, 0, 0, -4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 4, -4, 4, 0, -4, 4, 0, 0, -4, 0, -4, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], 'schur_index': 1}
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id: 13652225
{'cdim': 1, 'counter': 21, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1u', '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, -2, -2, -2, -2, -8, -8, 8, -8, -8, 8, 8, 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, -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, -2, 2, -2, -2, 2, 2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, 2, -2, 2, 2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, -2, 2, -2, 2, 2, 2], 'schur_index': 1}
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id: 13652226
{'cdim': 1, 'counter': 22, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1v', '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, -2, -2, -2, -2, -8, -8, 8, -8, -8, 8, 8, 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, 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, -2, 2, -2, -2, 2, 2, -2, 2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, 2, -2, 2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -2, 2, -2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2], 'schur_index': 1}
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id: 13652227
{'cdim': 1, 'counter': 23, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1w', '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, -2, -2, -2, -2, 8, 8, 8, 8, 8, 8, 8, 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, -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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, 2, 2, 2, 2], 'schur_index': 1}
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id: 13652228
{'cdim': 1, 'counter': 24, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.1x', '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, -2, -2, -2, -2, 8, 8, 8, 8, 8, 8, 8, 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, 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, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, 2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, -2, -2, 2, -2], 'schur_index': 1}
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id: 13652244
{'cdim': 2, 'counter': 39, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2o', 'multiplicity': 4, 'nt': [15, 4], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, -4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, 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, -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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 13652246
{'cdim': 2, 'counter': 40, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2p', 'multiplicity': 4, 'nt': [24, 19], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 0, 0, -4, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, 8, 8, 8, -8, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, -4, 4, -4, 0, 4, -4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], 'schur_index': 1}
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id: 13652247
{'cdim': 2, 'counter': 41, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2q', 'multiplicity': 4, 'nt': [24, 19], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 0, 0, -4, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, 8, 8, 8, -8, -8, -8, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, -4, 4, -4, 0, 4, -4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0], 'schur_index': 1}
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id: 13652248
{'cdim': 2, 'counter': 42, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2r', 'multiplicity': 4, 'nt': [24, 20], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -8, 8, -4, 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, 0, 0, 0, 0, 0, 0, 0, 0, -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, -4, 4, -4, -4, -4, 4, 4, -4, 4, 4, 4, 4, 4, 4, -4, 4, -4, -4, 4, -4, 4, 4, -4, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652249
{'cdim': 2, 'counter': 43, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2s', 'multiplicity': 4, 'nt': [24, 20], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 8, -8, -4, 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, 0, 0, 0, 0, 0, 0, 0, 0, -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, 4, 4, 4, 4, -4, -4, 4, -4, 4, -4, 4, 4, -4, -4, -4, -4, -4, 4, 4, 4, -4, -4, 4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652250
{'cdim': 2, 'counter': 44, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2t', 'multiplicity': 4, 'nt': [24, 20], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, -4, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0, -4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, -8, -8, -8, -8, 8, 8, 8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 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, -8, 8, 0, -8, 0, 0, -8, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 4, 4, 4, 0, -4, 4, 0, 0, 4, 0, 4, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, -4, 4, 4, -4, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 4], 'schur_index': 1}
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id: 13652251
{'cdim': 2, 'counter': 45, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2u', 'multiplicity': 4, 'nt': [24, 20], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, -4, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, -8, 0, 0, 8, 8, 8, 8, 0, 0, -4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, -8, -8, -8, -8, 8, 8, 8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 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, 8, -8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 4, 4, 4, 0, -4, 4, 0, 0, 4, 0, 4, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, -4, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 4, -4, -4, 4, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, -4], 'schur_index': 1}
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id: 13652252
{'cdim': 2, 'counter': 46, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2v', 'multiplicity': 4, 'nt': [30, 12], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, -4, 8, 8, 8, 8, -8, 8, -8, -8, 8, 8, -8, -8, 8, -8, -2, -2, -2, -2, 4, 4, -4, 4, 4, -4, -4, 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, 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, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1], 'schur_index': 1}
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id: 13652253
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id: 13652254
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id: 13652255
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id: 13652257
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id: 13652258
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id: 13652259
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id: 13652260
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id: 13652261
{'cdim': 2, 'counter': 54, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2ad', 'multiplicity': 8, 'nt': [40, 15], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 16, -16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -16, 16, -16, 16, -16, 16, -16, 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, 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, 4, 4, 4, 4, -4, -4, 4, -4, 4, -4, 4, 4, -4, -4, -4, -4, -4, 4, 4, 4, -4, -4, 4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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id: 13652262
{'cdim': 2, 'counter': 55, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2ae', 'multiplicity': 8, 'nt': [40, 15], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 0, 0, 16, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 16, 0, 0, -4, -4, -4, -4, 0, 0, 16, 0, 0, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, 4, 4, -4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 16, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, -16, 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, 4, -4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 4, 4, 4, 0, -4, 4, 0, 0, 4, 0, 4, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, -4, 4, 4, -4, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 4], 'schur_index': 1}
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id: 13652263
{'cdim': 2, 'counter': 56, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2af', 'multiplicity': 8, 'nt': [40, 15], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 0, 0, 16, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, -16, 0, 0, -4, -4, -4, -4, 0, 0, 16, 0, 0, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, 4, 4, -4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -16, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 16, 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, -4, 4, 0, -4, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 4, 4, 4, 0, -4, 4, 0, 0, 4, 0, 4, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -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, -4, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 4, -4, -4, 4, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, -4], 'schur_index': 1}
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id: 13652264
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id: 13652265
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id: 13652266
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id: 13652269
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id: 13652271
{'cdim': 2, 'counter': 63, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2am', 'multiplicity': 16, 'nt': [120, 0], 'qdim': 32, 'qvalues': [32, 32, -32, -32, 0, 0, -16, -32, -32, 32, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, 0, 0, 16, 0, 0, 16, -16, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, -8, -8, -8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 0, -16, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 4, -4, 4, 0, -4, 4, 0, 0, -4, 0, -4, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0], 'schur_index': 1}
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id: 13652272
{'cdim': 2, 'counter': 64, 'faithful': False, 'group': '960.4620', 'group_order': 960, 'image': None, 'label': '960.4620.2an', 'multiplicity': 16, 'nt': [120, 0], 'qdim': 32, 'qvalues': [32, 32, -32, -32, 0, 0, -16, 32, 32, -32, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, 0, 0, 16, 0, 0, 16, -16, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, -8, -8, -8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, 0, 16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 4, -4, 4, 0, -4, 4, 0, 0, -4, 0, -4, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], 'schur_index': 1}
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id: 32320173
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id: 32320185
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id: 32320196
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id: 32320207
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id: 32320218
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id: 32320229
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id: 32320240
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id: 32319952
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id: 32319963
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id: 32319974
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id: 32319985
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id: 32319996
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id: 32320018
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id: 32320029
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id: 32320040
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id: 32320051
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id: 32320063
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id: 32320074
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id: 32320085
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id: 32320096
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id: 32320107
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id: 32320118
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id: 32320129
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id: 32320140
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id: 32320151
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id: 32320162
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id: 32320174
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id: 32320176
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id: 32320177
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id: 32320178
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id: 32320179
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id: 32320180
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id: 32320181
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id: 32320182
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id: 32320183
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id: 32320187
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id: 32320192
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id: 32320193
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id: 32320194
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id: 32320195
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id: 32320197
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id: 32320198
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id: 32320199
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id: 32320200
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id: 32320201
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id: 32320202
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id: 32320203
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id: 32320204
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id: 32320205
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id: 32320206
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id: 32320208
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id: 32320209
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id: 32320210
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id: 32320211
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id: 32320212
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id: 32320213
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id: 32320214
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id: 32320215
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id: 32320216
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id: 32320217
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id: 32320219
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id: 32320220
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id: 32320221
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id: 32320222
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id: 32320223
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id: 32320224
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id: 32320225
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id: 32320226
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id: 32320227
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id: 32320228
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id: 32320230
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id: 32320231
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id: 32320006
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id: 32320008
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id: 32320009
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id: 32320010
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id: 32320011
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id: 32320012
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id: 32320013
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id: 32320014
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id: 32320015
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id: 32320016
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id: 32320017
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id: 32320019
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id: 32320020
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id: 32320021
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id: 32320022
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id: 32320023
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id: 32320024
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id: 32320025
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id: 32320026
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id: 32320027
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id: 32320028
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id: 32320030
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id: 32320031
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id: 32320032
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id: 32320033
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id: 32320034
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id: 32320035
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id: 32320036
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id: 32320037
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id: 32320038
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id: 32320039
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id: 32320041
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id: 32320042
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id: 32320043
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id: 32320044
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id: 32320045
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id: 32320046
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id: 32320047
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id: 32320048
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id: 32320049
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id: 32320050
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id: 32320052
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id: 32320053
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id: 32320054
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id: 32320055
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id: 32320056
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id: 32320057
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id: 32320058
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id: 32320059
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id: 32320060
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id: 32320061
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id: 32320064
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id: 32320065
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id: 32320066
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id: 32320067
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id: 32320068
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id: 32320069
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id: 32320079
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id: 32320080
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id: 32320081
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id: 32320082
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id: 32320083
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id: 32320084
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id: 32320086
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id: 32320070
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id: 32320071
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id: 32320072
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id: 32320073
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id: 32320075
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id: 32320076
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id: 32320077
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id: 32320078
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id: 32320087
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id: 32320097
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id: 32320098
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id: 32320099
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id: 32320100
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id: 32320101
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id: 32320102
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id: 32320103
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id: 32320088
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id: 32320089
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id: 32320090
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id: 32320091
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id: 32320092
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id: 32320093
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id: 32320094
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id: 32320095
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id: 32320104
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id: 32320114
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id: 32320115
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id: 32320116
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id: 32320117
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id: 32320119
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id: 32320120
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id: 32320121
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id: 32320105
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id: 32320106
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id: 32320108
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id: 32320109
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id: 32320110
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id: 32320111
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id: 32320112
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id: 32320113
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id: 32320122
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id: 32320132
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id: 32320133
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id: 32320134
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id: 32320135
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id: 32320136
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id: 32320137
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id: 32320138
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id: 32320123
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id: 32320124
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id: 32320125
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id: 32320126
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id: 32320127
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id: 32320128
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id: 32320130
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id: 32320131
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id: 32320139
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id: 32320149
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id: 32320150
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id: 32320152
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id: 32320153
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id: 32320154
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id: 32320155
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id: 32320156
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id: 32320141
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id: 32320142
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id: 32320143
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id: 32320144
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id: 32320145
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id: 32320146
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id: 32320147
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id: 32320148
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id: 32320157
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id: 32320167
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id: 32320168
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id: 32320169
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id: 32320170
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id: 32320171
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id: 32320172
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id: 32320175
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id: 32320158
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id: 32320159
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id: 32320160
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id: 32320161
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id: 32320163
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id: 32320164
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id: 32320165
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id: 32320166
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id: 32320232
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id: 32320233
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id: 32320234
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id: 32320235
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id: 32320236
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id: 32320237
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id: 32320238
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id: 32320239
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id: 32320241
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id: 32320242
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id: 32320243
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id: 32320244
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id: 32320245
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id: 32320246
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id: 32320247
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id: 32320248
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id: 32320249
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id: 32320250
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id: 32319953
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id: 32319954
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id: 32319955
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id: 32319956
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id: 32319957
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id: 32319958
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id: 32319959
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id: 32319960
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id: 32319961
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id: 32319962
{'center': '12.e1.a1', 'center_index': 12, 'center_order': 80, 'counter': 109, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '960.4620', 'group_counter': 4620, 'group_order': 960, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.b1.a1', 'kernel_order': 20, 'label': '960.4620.2q1', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 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, 3]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1], [1, -1]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[2, 3]], [[0, 0]], [[2, 3]], [[0, 0]], [[-2, 3]], [[-1, 0], [2, 2]], [[1, 0]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0], [-2, 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]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 3]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 3]], [[-1, 3]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 3]], [[-1, 1], [-1, -1]], [[1, 3]], [[1, 3]], [[-1, 1], [-1, -1]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 1], [1, -1]], [[1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 1], [1, -1]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3]], [[-1, 0], [2, 2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 1], [1, -1]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 1], [-1, -1]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 1], [1, -1]], [[1, 3]], [[1, 3]], [[1, 1], [1, -1]], [[-1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0]], [[1, 3]], [[1, 0], [-2, 2]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1], [-1, -1]], [[1, 3]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[1, 1], [1, -1]], [[-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3]], [[-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3]], [[-1, 3]], [[-1, 1], [-1, -1]], [[-1, 3]], [[-1, 1], [-1, -1]], [[-1, 3]], [[-1, 3]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]]]}
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id: 32319964
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id: 32319965
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id: 32319966
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id: 32319967
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id: 32319968
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id: 32319969
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id: 32319970
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id: 32319971
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id: 32319972
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id: 32319973
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id: 32319975
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id: 32319976
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id: 32319977
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id: 32319978
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id: 32319979
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id: 32319980
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id: 32319981
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id: 32319982
{'center': '12.d1.a1', 'center_index': 12, 'center_order': 80, 'counter': 127, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '960.4620', 'group_counter': 4620, 'group_order': 960, 'image': None, 'image_isoclass': '48.10', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1.a1', 'kernel_order': 20, 'label': '960.4620.2u3', 'nt': [24, 20], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 3]], [[1, 1], [1, -1]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 3]], [[-1, 1], [-1, -1]], [[1, 3]], [[-1, 1], [-1, -1]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, 0]], [[-2, 0]], [[2, 3]], [[2, 0]], [[0, 0]], [[-2, 3]], [[2, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[1, 0], [-2, 2]], [[-1, 0]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[1, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0]], [[1, 0]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0], [2, 2]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 0], [2, 2]], [[-1, 0], [2, 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]], [[-1, 0]], [[-1, 3]], [[-1, 1], [-1, -1]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3]], [[1, 3]], [[-1, 1], [-1, -1]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 1], [1, -1]], [[-1, 3]], [[-1, 1], [-1, -1]], [[-1, 0], [2, 2]], [[-1, 1], [-1, -1]], [[1, 3]], [[1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3]], [[1, 0], [-2, 2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1], [-1, -1]], [[-1, 3]], [[-1, 0]], [[1, 0], [-2, 2]], [[1, 1], [1, -1]], [[1, 3]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3]], [[-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3]], [[1, 0]], [[1, 0], [-2, 2]], [[-1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3]], [[-1, 1], [-1, -1]], [[-1, 3]], [[-1, 0]], [[1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[1, 0]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 3]], [[1, 1], [1, -1]], [[1, 0], [-2, 2]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 3]], [[1, 1], [1, -1]], [[-1, 0], [2, 2]], [[1, 0]], [[-1, 3]], [[-1, 0]]]}
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id: 32319983
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id: 32319984
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id: 32319986
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id: 32319987
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id: 32319988
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id: 32319989
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id: 32319990
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id: 32319991
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id: 32319992
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id: 32319993
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id: 32319994
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id: 32319995
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id: 32319997
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id: 32319998
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id: 32319999
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id: 32320000
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id: 32320001
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id: 32320002
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id: 32320003
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id: 32320004
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id: 32320005
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 160, 'counter': 148, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '960.4620', 'group_counter': 4620, 'group_order': 960, 'image': None, 'image_isoclass': '60.1', 'image_order': 60, 'indicator': 0, 'kernel': '60.f1.a1', 'kernel_order': 16, 'label': '960.4620.2z4', 'nt': [60, 4], 'q_character': None, 'values': [[[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, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, -1]], [[2, 2]], [[2, -2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[-2, -2]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 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, -2]], [[-1, 1]], [[-1, 2]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, -2]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[-2, -1]], [[2, 1]], [[-2, -1]], [[-2, 2]], [[-2, 1]], [[-2, 1]], [[2, -1]], [[2, -1]], [[-2, -2]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 2]], [[-2, 2]], [[2, 1]], [[2, -1]], [[-2, -2]], [[2, -2]], [[-2, 2]], [[2, -1]], [[2, -2]], [[2, -2]], [[2, 1]], [[-2, -1]], [[2, 2]], [[2, -1]], [[2, 2]], [[2, 2]], [[2, -1]], [[2, 2]], [[2, 2]], [[2, 1]], [[2, 1]], [[-2, -2]], [[2, -2]], [[2, -2]], [[2, -2]], [[-2, -2]], [[-2, -1]], [[-2, 2]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[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, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[-1, 2]], [[1, -2]], [[1, 2]], [[-1, -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, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, 1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 1]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, 2]], [[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, -2]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, -2]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, -2]], [[1, -2]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[1, -1]], [[-1, 1]]]}
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gps_subgroup_search • Show schema
Hide schema
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id: 113618393
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': True, 'core_order': 960, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '960.4620.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '960.4620', 'subgroup_hash': 4620, 'subgroup_order': 960, 'subgroup_tex': 'C_{60}.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
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id: 113618504
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 480, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['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: 113618536
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 480, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.149', 'subgroup_hash': 149, 'subgroup_order': 480, 'subgroup_tex': 'C_{60}.D_4', 'supersolvable': True, 'sylow': 0}
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id: 113618547
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 480, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.2.b1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '480.149', 'subgroup_hash': 149, 'subgroup_order': 480, 'subgroup_tex': 'C_{60}.D_4', 'supersolvable': True, 'sylow': 0}
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id: 113618558
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 480, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.123', 'subgroup_hash': 123, 'subgroup_order': 480, 'subgroup_tex': 'C_{12}:C_{40}', 'supersolvable': True, 'sylow': 0}
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id: 113618569
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 480, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.2.c1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.123', 'subgroup_hash': 123, 'subgroup_order': 480, 'subgroup_tex': 'C_{12}:C_{40}', 'supersolvable': True, 'sylow': 0}
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id: 113618580
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 480, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.122', 'subgroup_hash': 122, 'subgroup_order': 480, 'subgroup_tex': 'C_{30}.C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 113618591
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 480, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.2.d1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '480.122', 'subgroup_hash': 122, 'subgroup_order': 480, 'subgroup_tex': 'C_{30}.C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 113618602
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 160, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 10, 'label': '960.4620.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '320.933', 'subgroup_hash': 933, 'subgroup_order': 320, 'subgroup_tex': 'C_4^2.C_{20}', 'supersolvable': True, 'sylow': 0}
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id: 113618394
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 240, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '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: 113618405
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 240, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': 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: 113618416
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 240, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': 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: 113618427
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 240, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.81', 'subgroup_hash': 81, 'subgroup_order': 240, 'subgroup_tex': 'C_4\\times C_{60}', 'supersolvable': True, 'sylow': 0}
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id: 113618438
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 240, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.81', 'subgroup_hash': 81, 'subgroup_order': 240, 'subgroup_tex': 'C_4\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113618449
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 240, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.54', 'subgroup_hash': 54, 'subgroup_order': 240, 'subgroup_tex': 'C_6:C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618460
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 240, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.4.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.54', 'subgroup_hash': 54, 'subgroup_order': 240, 'subgroup_tex': 'C_6:C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618471
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 240, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.4.f1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.54', 'subgroup_hash': 54, 'subgroup_order': 240, 'subgroup_tex': 'C_6:C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618482
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 240, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.4.f1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.54', 'subgroup_hash': 54, 'subgroup_order': 240, 'subgroup_tex': 'C_6:C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618493
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 240, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.81', 'subgroup_hash': 81, 'subgroup_order': 240, 'subgroup_tex': 'C_4\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113618505
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 240, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.4.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '240.81', 'subgroup_hash': 81, 'subgroup_order': 240, 'subgroup_tex': 'C_4\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113618516
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': True, 'centralizer_order': 40, 'characteristic': True, 'core_order': 192, 'counter': 21, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '960.4620.5.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5.a1.a1', 'outer_equivalence': False, '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': '192.485', 'subgroup_hash': 485, 'subgroup_order': 192, 'subgroup_tex': 'C_4^2.D_6', 'supersolvable': True, 'sylow': 0}
-
id: 113618527
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 160, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '160.175', 'subgroup_hash': 175, 'subgroup_order': 160, 'subgroup_tex': 'C_2\\times C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113618529
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 80, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.48', 'subgroup_hash': 48, 'subgroup_order': 160, 'subgroup_tex': 'C_2^2:C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618530
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 80, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.6.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.48', 'subgroup_hash': 48, 'subgroup_order': 160, 'subgroup_tex': 'C_2^2:C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618531
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 80, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.55', 'subgroup_hash': 55, 'subgroup_order': 160, 'subgroup_tex': 'C_4:C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618532
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 80, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.6.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.55', 'subgroup_hash': 55, 'subgroup_order': 160, 'subgroup_tex': 'C_4:C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618533
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 80, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.6.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.47', 'subgroup_hash': 47, 'subgroup_order': 160, 'subgroup_tex': 'C_8:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113618534
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 80, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.6.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '160.47', 'subgroup_hash': 47, 'subgroup_order': 160, 'subgroup_tex': 'C_8:C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113618535
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 120, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.47', 'subgroup_hash': 47, 'subgroup_order': 120, 'subgroup_tex': 'C_2^2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113618537
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 120, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113618538
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 120, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113618539
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 120, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113618540
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 120, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113618541
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 120, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113618542
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 120, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113618543
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618544
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.8.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113618545
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 60, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.8.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '120.1', 'subgroup_hash': 1, 'subgroup_order': 120, 'subgroup_tex': 'C_3:C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618546
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 60, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.8.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.1', 'subgroup_hash': 1, 'subgroup_order': 120, 'subgroup_tex': 'C_3:C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618548
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 60, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.8.i1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.i1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.1', 'subgroup_hash': 1, 'subgroup_order': 120, 'subgroup_tex': 'C_3:C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618549
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 60, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.8.i1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.i1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.1', 'subgroup_hash': 1, 'subgroup_order': 120, 'subgroup_tex': 'C_3:C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618550
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.8.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618551
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.8.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618552
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.8.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618553
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.8.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618554
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 96, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.10.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1.a1', 'outer_equivalence': False, '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: 113618555
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 96, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.10.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.b1.a1', 'outer_equivalence': False, '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': '96.37', 'subgroup_hash': 37, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 113618556
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 96, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.10.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.b1.b1', 'outer_equivalence': False, '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': '96.37', 'subgroup_hash': 37, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
-
id: 113618557
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 96, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.10.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.c1.a1', 'outer_equivalence': False, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.11', 'subgroup_hash': 11, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618559
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 96, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.10.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.c1.b1', 'outer_equivalence': False, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.11', 'subgroup_hash': 11, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618560
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 96, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.10.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.d1.a1', 'outer_equivalence': False, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.10', 'subgroup_hash': 10, 'subgroup_order': 96, 'subgroup_tex': 'C_6.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113618561
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 96, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.10.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.d1.b1', 'outer_equivalence': False, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.10', 'subgroup_hash': 10, 'subgroup_order': 96, 'subgroup_tex': 'C_6.C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113618562
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 80, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], '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: 113618563
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 80, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.1', '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': 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: 113618564
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 80, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1.a1', 'outer_equivalence': False, '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': 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: 113618565
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 80, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113618566
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 80, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113618567
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 80, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.12.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.f1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113618568
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 80, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.12.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.g1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '80.20', 'subgroup_hash': 20, 'subgroup_order': 80, 'subgroup_tex': 'C_4\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113618570
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.12.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.23', 'subgroup_hash': 23, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618571
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.12.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.23', 'subgroup_hash': 23, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618572
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.12.h1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.23', 'subgroup_hash': 23, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618573
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 40, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.12.h1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '80.23', 'subgroup_hash': 23, 'subgroup_order': 80, 'subgroup_tex': 'C_2\\times C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618574
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 32, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '960.4620.15.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '15.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.113', 'subgroup_hash': 113, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2.C_4', 'supersolvable': True, 'sylow': 2}
-
id: 113618575
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 60, 'counter': 65, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113618576
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 66, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113618577
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 67, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.16.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], '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: 113618578
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 68, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113618579
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 69, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.16.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113618581
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 70, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113618582
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 60, 'counter': 71, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.16.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113618583
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113618584
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 73, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.16.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618585
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.16.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113618586
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 75, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.16.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618587
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 76, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.16.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618588
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 30, 'counter': 77, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.16.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
-
id: 113618589
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 48, 'counter': 78, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.20.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1.a1', 'outer_equivalence': False, '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: 113618590
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 48, 'counter': 79, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.20.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1.a1', 'outer_equivalence': False, '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': 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: 113618592
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 48, 'counter': 80, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.20.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.c1.a1', 'outer_equivalence': False, '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': 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: 113618593
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 48, 'counter': 81, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.20.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.d1.a1', 'outer_equivalence': False, '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': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113618594
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 48, 'counter': 82, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.20.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.e1.a1', 'outer_equivalence': False, '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': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113618595
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 48, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.20.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.f1.a1', 'outer_equivalence': False, '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': '48.9', 'subgroup_hash': 9, 'subgroup_order': 48, 'subgroup_tex': 'C_6:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618596
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 48, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.20.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.f1.b1', 'outer_equivalence': False, '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': '48.9', 'subgroup_hash': 9, 'subgroup_order': 48, 'subgroup_tex': 'C_6:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618597
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 48, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.20.f1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.f1.c1', 'outer_equivalence': False, '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': '48.9', 'subgroup_hash': 9, 'subgroup_order': 48, 'subgroup_tex': 'C_6:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618598
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 48, 'counter': 86, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.20.f1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.f1.d1', 'outer_equivalence': False, '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': '48.9', 'subgroup_hash': 9, 'subgroup_order': 48, 'subgroup_tex': 'C_6:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618599
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 48, 'counter': 87, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.20.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.g1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113618600
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 48, 'counter': 88, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.20.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.h1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113618601
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 89, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.7', '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': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113618603
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 40, 'counter': 90, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], '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: 113618604
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 91, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1.a1', 'outer_equivalence': False, '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: 113618605
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 92, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1.a1', 'outer_equivalence': False, '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: 113618606
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 93, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.24.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1.a1', 'outer_equivalence': False, '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: 113618607
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 94, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.24.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1.a1', 'outer_equivalence': False, '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: 113618608
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 40, 'counter': 95, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.24.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.g1.a1', 'outer_equivalence': False, '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: 113618609
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.24.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618610
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.24.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113618611
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 98, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.24.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618612
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 99, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.24.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618395
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 100, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.24.i1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618396
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 20, 'counter': 101, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.24.i1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.2', 'subgroup_hash': 2, 'subgroup_order': 40, 'subgroup_tex': 'C_{40}', 'supersolvable': True, 'sylow': 0}
-
id: 113618397
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.24.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113618398
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.24.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618399
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.24.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113618400
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.24.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618401
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 32, 'counter': 106, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.30.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.a1.a1', 'outer_equivalence': False, '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: 113618402
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 16, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.30.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.5', 'subgroup_hash': 5, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618403
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 16, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.30.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.5', 'subgroup_hash': 5, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618404
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 16, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.30.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.12', 'subgroup_hash': 12, 'subgroup_order': 32, 'subgroup_tex': 'C_4:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618406
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 16, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.30.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.12', 'subgroup_hash': 12, 'subgroup_order': 32, 'subgroup_tex': 'C_4:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618407
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 16, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.30.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.4', 'subgroup_hash': 4, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113618408
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 16, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.30.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '30.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.4', 'subgroup_hash': 4, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113618409
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 30, 'counter': 113, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, '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: 113618410
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 30, 'counter': 114, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113618411
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 30, 'counter': 115, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113618412
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 15, 'counter': 116, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.32.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113618413
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 15, 'counter': 117, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.32.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
-
id: 113618414
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 24, 'counter': 118, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.40.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1.a1', 'outer_equivalence': False, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113618415
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 24, 'counter': 119, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.40.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1.a1', 'outer_equivalence': False, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113618417
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 24, 'counter': 120, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.40.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.c1.a1', 'outer_equivalence': False, '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: 113618418
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 24, 'counter': 121, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.40.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.d1.a1', 'outer_equivalence': False, '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: 113618419
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 24, 'counter': 122, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.40.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.e1.a1', 'outer_equivalence': False, '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: 113618420
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 24, 'counter': 123, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.40.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.f1.a1', 'outer_equivalence': False, '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: 113618421
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 24, 'counter': 124, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.40.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.g1.a1', 'outer_equivalence': False, '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: 113618422
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.40.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618423
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.40.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618424
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 12, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.40.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618425
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 12, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.40.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618426
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 12, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.40.i1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.i1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618428
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 40, 'characteristic': False, 'core_order': 12, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.40.i1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.i1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618429
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.40.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618430
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.40.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618431
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.40.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618432
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.40.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618433
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 20, 'counter': 135, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, '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: 113618434
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 20, 'counter': 136, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113618435
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 20, 'counter': 137, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.48.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113618436
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 138, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.48.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:\\OD_{16}', '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: 113618437
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 139, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.48.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:\\OD_{16}', '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: 113618439
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 140, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.48.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:\\OD_{16}', '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: 113618440
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 20, 'counter': 141, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.48.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:\\OD_{16}', '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: 113618441
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.48.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113618442
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 143, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.48.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618443
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.48.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113618444
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 145, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.48.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618445
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 146, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.48.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618446
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 10, 'counter': 147, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.48.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
-
id: 113618447
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 16, 'counter': 148, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.60.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1.a1', 'outer_equivalence': False, '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: 113618448
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 16, 'counter': 149, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.60.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.b1.a1', 'outer_equivalence': False, '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': 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: 113618450
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 16, 'counter': 150, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.60.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.c1.a1', 'outer_equivalence': False, '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': 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: 113618451
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 16, 'counter': 151, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.60.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.d1.a1', 'outer_equivalence': False, '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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113618452
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 16, 'counter': 152, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.60.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.e1.a1', 'outer_equivalence': False, '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': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113618453
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 16, 'counter': 153, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.60.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.f1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113618454
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 16, 'counter': 154, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.60.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.g1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
-
id: 113618455
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.60.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618456
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.60.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618457
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.60.h1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.h1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618458
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 8, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.60.h1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.h1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618459
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 15, 'counter': 159, 'cyclic': True, 'direct': False, 'hall': 15, 'label': '960.4620.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.113', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 113, '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}
-
id: 113618461
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 12, 'counter': 160, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.80.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.a1.a1', 'outer_equivalence': False, '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': ['D', 'L1', 'D1'], '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: 113618462
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 161, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.80.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.b1.a1', 'outer_equivalence': False, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113618463
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 162, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.80.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.b1.b1', 'outer_equivalence': False, '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 113618464
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 163, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.80.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times \\OD_{16}', '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: 113618465
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 164, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.80.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times \\OD_{16}', '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: 113618466
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 165, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.80.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times \\OD_{16}', '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: 113618467
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 12, 'counter': 166, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.80.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '80.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times \\OD_{16}', '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: 113618468
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.80.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113618469
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 168, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.80.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618470
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.80.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113618472
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 170, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.80.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618473
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 171, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.80.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618474
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 6, 'counter': 172, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.80.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '80.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618475
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 10, 'counter': 173, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.96.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.a1', 'outer_equivalence': False, '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}
-
id: 113618476
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 10, 'counter': 174, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.96.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.128', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 128, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113618477
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 10, 'counter': 175, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.96.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.128', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 128, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113618478
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 5, 'counter': 176, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.96.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113618479
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 5, 'counter': 177, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.96.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
-
id: 113618480
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 8, 'counter': 178, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.120.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.a1.a1', 'outer_equivalence': False, '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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
-
id: 113618481
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 8, 'counter': 179, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.120.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.b1.a1', 'outer_equivalence': False, '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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113618483
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 8, 'counter': 180, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.120.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.c1.a1', 'outer_equivalence': False, '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}
-
id: 113618484
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 8, 'counter': 181, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.120.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.d1.a1', 'outer_equivalence': False, '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}
-
id: 113618485
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 8, 'counter': 182, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.120.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.e1.a1', 'outer_equivalence': False, '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}
-
id: 113618486
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 8, 'counter': 183, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.120.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.f1.a1', 'outer_equivalence': False, '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}
-
id: 113618487
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 8, 'counter': 184, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.120.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '120.g1.a1', 'outer_equivalence': False, '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}
-
id: 113618488
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.120.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618489
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.120.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618490
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 187, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.120.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618491
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 188, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.120.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618492
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 189, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.120.i1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.i1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618494
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 80, 'characteristic': False, 'core_order': 4, 'counter': 190, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.120.i1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.i1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
-
id: 113618495
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.120.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618496
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.120.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618497
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.120.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618498
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.120.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618499
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 6, 'counter': 195, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.160.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.a1.a1', 'outer_equivalence': False, '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}
-
id: 113618500
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 6, 'counter': 196, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.160.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '160.191', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 191, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113618501
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 6, 'counter': 197, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.160.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '160.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '160.191', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 191, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 160, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}\\times \\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113618502
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 3, 'counter': 198, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.160.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113618503
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 3, 'counter': 199, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.160.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '160.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
-
id: 113618506
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 5, 'counter': 200, 'cyclic': True, 'direct': True, 'hall': 5, 'label': '960.4620.192.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.485', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 485, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_6', '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}
-
id: 113618507
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 4, 'counter': 201, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.240.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.a1.a1', 'outer_equivalence': False, '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': True, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
-
id: 113618508
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 4, 'counter': 202, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.240.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.b1.a1', 'outer_equivalence': False, '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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113618509
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': False, 'core_order': 4, 'counter': 203, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.240.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.b1.b1', 'outer_equivalence': False, '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': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
-
id: 113618510
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 204, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.240.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.55', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 55, '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: 113618511
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 205, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.240.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.55', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 55, '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: 113618512
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 206, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.240.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.55', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 55, '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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 113618513
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 4, 'counter': 207, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '960.4620.240.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '240.55', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 55, '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': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 113618514
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.240.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 113618515
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 209, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.240.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618517
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '960.4620.240.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 113618518
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 211, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.240.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618519
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 212, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.240.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618520
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 2, 'counter': 213, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.240.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '240.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 113618521
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': True, 'core_order': 3, 'counter': 214, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '960.4620.320.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '320.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '320.933', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 933, '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: 113618522
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 2, 'counter': 215, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.480.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.a1.a1', 'outer_equivalence': False, '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': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 113618523
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 2, 'counter': 216, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.480.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '480.800', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 800, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}:\\OD_{16}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 113618524
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 2, 'counter': 217, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '960.4620.480.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '480.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '480.800', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 800, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 480, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}:\\OD_{16}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 113618525
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 1, 'counter': 218, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.480.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '480.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 113618526
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': False, 'central_factor': False, 'centralizer_order': 480, 'characteristic': False, 'core_order': 1, 'counter': 219, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '960.4620.480.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '480.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 113618528
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '960.4620', 'ambient_counter': 4620, 'ambient_order': 960, 'ambient_tex': 'C_{60}.\\OD_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 960, 'characteristic': True, 'core_order': 1, 'counter': 220, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '960.4620.960.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '960.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '960.4620', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4620, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 960, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{60}.\\OD_{16}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C8'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 113618425
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '40.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.b1', '20.f1.b1'], 'contains': ['80.b1.a1', '120.i1.b1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [410, 4, 8, 640], 'label': '960.4620.40.i1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '40.i1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.i1.b1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113618426
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '40.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.c1', '20.f1.c1'], 'contains': ['80.b1.b1', '120.i1.c1'], 'core': '80.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 484, 8, 640], 'label': '960.4620.40.i1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '40.i1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.i1.c1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113618548
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.c1'], 'contains': ['16.b1.b1', '24.i1.c1', '40.i1.c1'], 'core': '16.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 484, 8, 192, 640], 'label': '960.4620.8.i1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.i1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1.c1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113618549
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.d1'], 'contains': ['16.b1.b1', '24.i1.d1', '40.i1.d1'], 'core': '16.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [411, 484, 8, 192, 640], 'label': '960.4620.8.i1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '8.i1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618550
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.c1.a1', '16.g1.a1', '16.h1.a1', '24.j1.a1', '40.j1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 640, 192, 240, 480], 'label': '960.4620.8.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618551
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.c1.b1', '16.g1.a1', '16.h1.a1', '24.j1.b1', '40.j1.b1'], 'core': '16.c1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 640, 192, 248, 480], 'label': '960.4620.8.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.j1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618552
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1'], 'contains': ['16.d1.a1', '16.i1.a1', '16.j1.a1', '24.k1.a1', '40.k1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 640, 192, 252, 488], 'label': '960.4620.8.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618553
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1'], 'contains': ['16.d1.b1', '16.i1.a1', '16.j1.a1', '24.k1.b1', '40.k1.b1'], 'core': '16.d1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [481, 640, 192, 252, 488], 'label': '960.4620.8.k1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.k1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618571
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.b1', '6.b1.b1', '6.c1.a1', '6.d1.b1'], 'contains': ['24.b1.a1', '24.i1.b1', '60.h1.b1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [410, 192, 4, 480, 8], 'label': '960.4620.12.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618572
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.h1.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.c1', '6.b1.b1', '6.c1.b1', '6.d1.a1'], 'contains': ['24.b1.a1', '24.i1.c1', '60.h1.c1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [3, 192, 484, 480, 8], 'label': '960.4620.12.h1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.h1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618573
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.h1.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.d1', '6.b1.a1', '6.c1.b1', '6.d1.b1'], 'contains': ['24.b1.a1', '24.i1.d1', '60.h1.d1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [411, 192, 484, 480, 8], 'label': '960.4620.12.h1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.h1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618574
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '15.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '5.a1.a1'], 'contains': ['30.a1.a1', '30.b1.a1', '30.b1.b1', '30.c1.a1', '30.c1.b1', '30.d1.a1', '30.d1.b1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 2, 240], 'label': '960.4620.15.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '15.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618393
{'ambient': '960.4620', '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': '24.b1.a1', 'complements': ['960.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '2.c1.a1', '2.c1.b1', '2.d1.a1', '2.d1.b1', '3.a1.a1', '5.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 4, 8, 240, 480, 640, 2, 192], 'label': '960.4620.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '2.c1.b1', '2.c1.a1', '2.d1.b1', '2.d1.a1', '5.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618394
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.f1.a1', '8.h1.a1', '8.h1.b1', '12.a1.a1', '20.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [729, 8, 480, 640, 4, 192], 'label': '960.4620.4.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.f1.a1', '12.a1.a1', '20.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618395
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.h1.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.c1', '12.h1.c1'], 'contains': ['48.b1.b1', '120.i1.c1'], 'core': '48.b1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [3, 484, 8, 192], 'label': '960.4620.24.i1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '24.i1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618396
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.h1.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.d1', '12.h1.d1'], 'contains': ['48.b1.b1', '120.i1.d1'], 'core': '48.b1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [411, 484, 8, 192], 'label': '960.4620.24.i1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '24.i1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618397
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '12.b1.a1'], 'contains': ['48.c1.a1', '48.g1.a1', '48.h1.a1', '120.j1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 192, 480, 240], 'label': '960.4620.24.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618398
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.b1', '12.b1.a1'], 'contains': ['48.c1.b1', '48.g1.a1', '48.h1.a1', '120.j1.b1'], 'core': '48.c1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 192, 480, 248], 'label': '960.4620.24.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.j1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618399
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '12.c1.a1'], 'contains': ['48.d1.a1', '48.i1.a1', '48.j1.a1', '120.k1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 192, 488, 252], 'label': '960.4620.24.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618400
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.b1', '12.c1.a1'], 'contains': ['48.d1.b1', '48.i1.a1', '48.j1.a1', '120.k1.b1'], 'core': '48.d1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [481, 192, 488, 252], 'label': '960.4620.24.k1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.k1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618401
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '30.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '10.a1.a1', '15.a1.a1'], 'contains': ['60.a1.a1', '60.b1.a1', '60.c1.a1', '60.d1.a1', '60.e1.a1', '60.f1.a1', '60.g1.a1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 4, 240], 'label': '960.4620.30.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '30.a1.a1', 'normal_contained_in': ['6.a1.a1', '10.a1.a1'], 'normal_contains': ['60.a1.a1', '60.b1.a1', '60.c1.a1', '60.d1.a1', '60.e1.a1', '60.f1.a1', '60.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '30.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618402
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '10.b1.a1', '15.a1.a1'], 'contains': ['60.a1.a1', '60.h1.a1', '60.h1.d1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [729, 2], 'label': '960.4620.30.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618403
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '30.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.b1', '10.b1.b1', '15.a1.a1'], 'contains': ['60.a1.a1', '60.h1.b1', '60.h1.c1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [729, 410], 'label': '960.4620.30.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.b1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.b1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618404
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '10.c1.a1', '15.a1.a1'], 'contains': ['60.d1.a1', '60.h1.a1', '60.h1.b1'], 'core': '60.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [2, 240], 'label': '960.4620.30.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618405
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.c1.a1', '8.g1.a1', '8.j1.a1', '8.j1.b1', '12.b1.a1', '20.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [5, 480, 240, 640, 8, 192], 'label': '960.4620.4.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '8.c1.a1', '8.g1.a1', '12.b1.a1', '20.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618406
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '30.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.b1', '10.c1.b1', '15.a1.a1'], 'contains': ['60.d1.a1', '60.h1.c1', '60.h1.d1'], 'core': '60.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [3, 240], 'label': '960.4620.30.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.c1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.c1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618407
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '30.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1.a1', '10.d1.a1', '15.a1.a1'], 'contains': ['60.e1.a1', '60.h1.a1', '60.h1.c1'], 'core': '60.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 2], 'label': '960.4620.30.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618408
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '30.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1.b1', '10.d1.b1', '15.a1.a1'], 'contains': ['60.e1.a1', '60.h1.b1', '60.h1.d1'], 'core': '60.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 410], 'label': '960.4620.30.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '30.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618409
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.b1.b1', '16.e1.a1', '16.f1.a1'], 'contains': ['64.a1.a1', '96.a1.a1', '160.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 192, 640], 'label': '960.4620.32.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1', '16.b1.b1', '16.b1.a1'], 'normal_contains': ['64.a1.a1', '96.a1.a1', '160.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618410
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.c1.a1', '16.c1.b1', '16.g1.a1', '16.h1.a1'], 'contains': ['64.a1.a1', '96.b1.a1', '160.b1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [480, 192, 640], 'label': '960.4620.32.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.b1.a1', 'normal_contained_in': ['16.a1.a1', '16.c1.a1', '16.c1.b1'], 'normal_contains': ['64.a1.a1', '96.b1.a1', '160.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618411
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.d1.a1', '16.d1.b1', '16.i1.a1', '16.j1.a1'], 'contains': ['64.a1.a1', '96.c1.a1', '160.c1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [488, 192, 640], 'label': '960.4620.32.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.c1.a1', 'normal_contained_in': ['16.a1.a1', '16.d1.a1', '16.d1.b1'], 'normal_contains': ['64.a1.a1', '96.c1.a1', '160.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618412
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.e1.a1', '16.g1.a1'], 'contains': ['64.a1.a1', '96.d1.a1', '160.d1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [725, 192, 640], 'label': '960.4620.32.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618413
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.b1', '16.e1.a1', '16.g1.a1'], 'contains': ['64.a1.a1', '96.d1.b1', '160.d1.b1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [245, 192, 640], 'label': '960.4620.32.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618414
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '40.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '20.a1.a1', '20.b1.a1', '20.c1.a1'], 'contains': ['80.a1.a1', '80.d1.a1', '80.d1.b1', '80.e1.a1', '80.g1.a1', '120.a1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [725, 8, 480, 640], 'label': '960.4620.40.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.a1.a1', 'normal_contained_in': ['8.a1.a1', '20.a1.a1', '20.b1.a1', '20.c1.a1'], 'normal_contains': ['80.a1.a1', '80.d1.a1', '80.d1.b1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618415
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '40.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '20.a1.a1', '20.d1.a1', '20.e1.a1', '20.f1.a1', '20.f1.b1', '20.f1.c1', '20.f1.d1'], 'contains': ['80.a1.a1', '80.b1.a1', '80.b1.b1', '120.b1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4, 480, 640, 8], 'label': '960.4620.40.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.b1.a1', 'normal_contained_in': ['8.b1.a1', '20.a1.a1', '20.d1.a1', '20.e1.a1', '20.f1.d1', '20.f1.a1', '20.f1.c1', '20.f1.b1'], 'normal_contains': ['80.a1.a1', '80.b1.b1', '80.b1.a1', '120.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618416
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '8.e1.a1', '8.k1.a1', '8.k1.b1', '12.c1.a1', '20.c1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 488, 480, 640, 252, 192], 'label': '960.4620.4.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '8.e1.a1', '8.d1.a1', '12.c1.a1', '20.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618417
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '20.b1.a1', '20.d1.a1', '20.g1.a1'], 'contains': ['80.a1.a1', '80.c1.a1', '80.c1.b1', '120.c1.a1'], 'core': '40.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 240, 640, 480], 'label': '960.4620.40.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.c1.a1', 'normal_contained_in': ['8.c1.a1', '20.b1.a1', '20.d1.a1', '20.g1.a1'], 'normal_contains': ['80.a1.a1', '80.c1.a1', '80.c1.b1', '120.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618418
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '40.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '20.c1.a1', '20.d1.a1', '20.h1.a1'], 'contains': ['80.a1.a1', '80.i1.a1', '120.d1.a1'], 'core': '40.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [252, 480, 640, 488], 'label': '960.4620.40.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.d1.a1', 'normal_contained_in': ['8.d1.a1', '20.c1.a1', '20.d1.a1', '20.h1.a1'], 'normal_contains': ['80.a1.a1', '120.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618419
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '40.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '20.c1.a1', '20.e1.a1', '20.g1.a1'], 'contains': ['80.a1.a1', '80.j1.a1', '120.e1.a1'], 'core': '40.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 480, 640, 488], 'label': '960.4620.40.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.e1.a1', 'normal_contained_in': ['8.e1.a1', '20.c1.a1', '20.e1.a1', '20.g1.a1'], 'normal_contains': ['80.a1.a1', '120.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618420
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '40.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '20.a1.a1', '20.g1.a1', '20.h1.a1'], 'contains': ['80.a1.a1', '80.f1.a1', '120.f1.a1'], 'core': '40.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [729, 480, 640, 8], 'label': '960.4620.40.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.f1.a1', 'normal_contained_in': ['8.f1.a1', '20.a1.a1', '20.g1.a1', '20.h1.a1'], 'normal_contains': ['80.a1.a1', '120.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618421
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '40.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '20.b1.a1', '20.e1.a1', '20.h1.a1'], 'contains': ['80.a1.a1', '80.h1.a1', '120.g1.a1'], 'core': '40.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [5, 8, 640, 480], 'label': '960.4620.40.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.g1.a1', 'normal_contained_in': ['8.g1.a1', '20.b1.a1', '20.e1.a1', '20.h1.a1'], 'normal_contains': ['80.a1.a1', '120.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618422
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '40.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '20.a1.a1'], 'contains': ['80.b1.a1', '80.e1.a1', '80.f1.a1', '120.h1.a1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [729, 4, 640, 8], 'label': '960.4620.40.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '40.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618423
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '40.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.b1', '20.a1.a1'], 'contains': ['80.b1.b1', '80.e1.a1', '80.f1.a1', '120.h1.b1'], 'core': '80.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [729, 484, 640, 8], 'label': '960.4620.40.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '40.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618424
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '40.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '20.f1.a1'], 'contains': ['80.b1.a1', '120.i1.a1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 4, 8, 640], 'label': '960.4620.40.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '40.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618427
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.c1.a1', '2.c1.b1'], 'contains': ['8.b1.a1', '8.c1.a1', '8.d1.a1', '12.d1.a1', '20.d1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4, 480, 640, 192, 240, 8], 'label': '960.4620.4.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.a1.a1', '2.c1.b1', '2.c1.a1'], 'normal_contains': ['8.b1.a1', '8.c1.a1', '8.d1.a1', '12.d1.a1', '20.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618428
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '40.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.d1', '20.f1.d1'], 'contains': ['80.b1.b1', '120.i1.d1'], 'core': '80.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [411, 484, 8, 640], 'label': '960.4620.40.i1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '40.i1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.i1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618429
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '40.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '20.b1.a1'], 'contains': ['80.c1.a1', '80.g1.a1', '80.h1.a1', '120.j1.a1'], 'core': '80.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 240, 640, 480], 'label': '960.4620.40.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '40.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618430
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '40.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.b1', '20.b1.a1'], 'contains': ['80.c1.b1', '80.g1.a1', '80.h1.a1', '120.j1.b1'], 'core': '80.c1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 248, 640, 480], 'label': '960.4620.40.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '40.j1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.j1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618431
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '40.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '20.c1.a1'], 'contains': ['80.d1.a1', '80.i1.a1', '80.j1.a1', '120.k1.a1'], 'core': '80.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 252, 640, 488], 'label': '960.4620.40.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '40.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618432
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '40.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.b1', '20.c1.a1'], 'contains': ['80.d1.b1', '80.i1.a1', '80.j1.a1', '120.k1.b1'], 'core': '80.d1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [481, 252, 640, 488], 'label': '960.4620.40.k1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '40.k1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.k1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618433
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '48.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.c1.a1', '24.d1.a1', '24.e1.a1', '24.f1.a1', '24.g1.a1'], 'contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1', '240.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 192, 480], 'label': '960.4620.48.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.c1.a1', '24.f1.a1', '24.e1.a1', '24.d1.a1', '24.g1.a1'], 'normal_contains': ['96.c1.a1', '96.a1.a1', '96.b1.a1', '240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618434
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.b1.a1', '24.h1.a1', '24.i1.a1', '24.i1.b1'], 'contains': ['96.a1.a1', '240.b1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4, 8, 192], 'label': '960.4620.48.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.a1', 'normal_contained_in': ['16.b1.a1', '24.b1.a1'], 'normal_contains': ['96.a1.a1', '240.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618435
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '24.b1.a1', '24.h1.b1', '24.i1.c1', '24.i1.d1'], 'contains': ['96.a1.a1', '240.b1.b1'], 'core': '48.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [484, 8, 192], 'label': '960.4620.48.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.b1.b1', 'normal_contained_in': ['16.b1.b1', '24.b1.a1'], 'normal_contains': ['96.a1.a1', '240.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618436
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.c1.a1', '24.j1.a1'], 'contains': ['96.b1.a1', '240.c1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [240, 480, 192], 'label': '960.4620.48.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.a1', 'normal_contained_in': ['16.c1.a1', '24.c1.a1'], 'normal_contains': ['96.b1.a1', '240.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618437
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.b1', '24.c1.a1', '24.j1.b1'], 'contains': ['96.b1.a1', '240.c1.b1'], 'core': '48.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [248, 480, 192], 'label': '960.4620.48.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.c1.b1', 'normal_contained_in': ['16.c1.b1', '24.c1.a1'], 'normal_contains': ['96.b1.a1', '240.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '48.c1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618438
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.a1', '2.d1.b1'], 'contains': ['8.b1.a1', '8.e1.a1', '8.g1.a1', '12.e1.a1', '20.e1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 480, 640, 192, 4, 488], 'label': '960.4620.4.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.a1.a1', '2.d1.b1', '2.d1.a1'], 'normal_contains': ['8.b1.a1', '8.e1.a1', '8.g1.a1', '12.e1.a1', '20.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618439
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '24.a1.a1', '24.k1.a1'], 'contains': ['96.c1.a1', '96.d1.a1', '240.d1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [725, 192, 488], 'label': '960.4620.48.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': ['16.d1.a1', '24.a1.a1'], 'normal_contains': ['96.c1.a1', '240.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618440
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.b1', '24.a1.a1', '24.k1.b1'], 'contains': ['96.c1.a1', '96.d1.b1', '240.d1.b1'], 'core': '48.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [245, 192, 488], 'label': '960.4620.48.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.b1', 'normal_contained_in': ['16.d1.b1', '24.a1.a1'], 'normal_contains': ['96.c1.a1', '240.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '48.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618441
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '24.a1.a1', '24.h1.a1', '24.h1.b1'], 'contains': ['96.a1.a1', '96.d1.a1', '96.d1.b1', '240.e1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [725, 192, 8], 'label': '960.4620.48.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618442
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '24.f1.a1', '24.h1.a1', '24.h1.b1'], 'contains': ['96.a1.a1', '240.f1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [729, 8, 192], 'label': '960.4620.48.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618443
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '24.a1.a1', '24.j1.a1', '24.j1.b1'], 'contains': ['96.b1.a1', '96.d1.a1', '96.d1.b1', '240.g1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [725, 192, 480], 'label': '960.4620.48.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618444
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '24.g1.a1', '24.j1.a1', '24.j1.b1'], 'contains': ['96.b1.a1', '240.h1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 480, 192], 'label': '960.4620.48.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618445
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '24.d1.a1', '24.k1.a1', '24.k1.b1'], 'contains': ['96.c1.a1', '240.i1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [252, 488, 192], 'label': '960.4620.48.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618446
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '24.e1.a1', '24.k1.a1', '24.k1.b1'], 'contains': ['96.c1.a1', '240.j1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 488, 192], 'label': '960.4620.48.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618447
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '60.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '20.a1.a1', '30.a1.a1', '30.b1.a1', '30.b1.b1'], 'contains': ['120.a1.a1', '120.b1.a1', '120.f1.a1', '120.h1.a1', '120.h1.b1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [729, 4, 480], 'label': '960.4620.60.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.a1.a1', 'normal_contained_in': ['12.a1.a1', '20.a1.a1', '30.a1.a1'], 'normal_contains': ['120.a1.a1', '120.b1.a1', '120.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618448
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '60.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '20.b1.a1', '30.a1.a1'], 'contains': ['120.a1.a1', '120.c1.a1', '120.g1.a1', '120.j1.a1', '120.j1.b1'], 'core': '60.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [5, 8, 240], 'label': '960.4620.60.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.b1.a1', 'normal_contained_in': ['12.b1.a1', '20.b1.a1', '30.a1.a1'], 'normal_contains': ['120.a1.a1', '120.c1.a1', '120.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618449
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.c1.a1', '2.d1.a1'], 'contains': ['8.b1.a1', '8.i1.a1', '12.h1.a1', '20.f1.a1'], 'core': '4.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 640, 192, 4, 480, 8], 'label': '960.4620.4.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': ['2.b1.a1', '2.c1.a1', '2.d1.a1'], 'normal_contains': ['8.b1.a1', '20.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618450
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '60.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '20.c1.a1', '30.a1.a1'], 'contains': ['120.a1.a1', '120.d1.a1', '120.e1.a1', '120.k1.a1', '120.k1.b1'], 'core': '60.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 252, 480], 'label': '960.4620.60.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.c1.a1', 'normal_contained_in': ['12.c1.a1', '20.c1.a1', '30.a1.a1'], 'normal_contains': ['120.a1.a1', '120.e1.a1', '120.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618451
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '60.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '20.d1.a1', '30.a1.a1', '30.c1.a1', '30.c1.b1'], 'contains': ['120.b1.a1', '120.c1.a1', '120.d1.a1'], 'core': '60.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4, 240], 'label': '960.4620.60.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.d1.a1', 'normal_contained_in': ['12.d1.a1', '20.d1.a1', '30.a1.a1'], 'normal_contains': ['120.b1.a1', '120.c1.a1', '120.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618452
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '60.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '20.e1.a1', '30.a1.a1', '30.d1.a1', '30.d1.b1'], 'contains': ['120.b1.a1', '120.e1.a1', '120.g1.a1'], 'core': '60.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 4], 'label': '960.4620.60.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.e1.a1', 'normal_contained_in': ['12.e1.a1', '20.e1.a1', '30.a1.a1'], 'normal_contains': ['120.b1.a1', '120.e1.a1', '120.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618453
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '60.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.f1.a1', '20.g1.a1', '30.a1.a1'], 'contains': ['120.c1.a1', '120.e1.a1', '120.f1.a1'], 'core': '60.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 240], 'label': '960.4620.60.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.f1.a1', 'normal_contained_in': ['12.f1.a1', '20.g1.a1', '30.a1.a1'], 'normal_contains': ['120.c1.a1', '120.f1.a1', '120.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618454
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '60.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '20.h1.a1', '30.a1.a1'], 'contains': ['120.d1.a1', '120.f1.a1', '120.g1.a1'], 'core': '60.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [729, 252], 'label': '960.4620.60.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.g1.a1', 'normal_contained_in': ['12.g1.a1', '20.h1.a1', '30.a1.a1'], 'normal_contains': ['120.f1.a1', '120.d1.a1', '120.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618455
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '60.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.a1', '20.f1.a1', '30.b1.a1', '30.c1.a1', '30.d1.a1'], 'contains': ['120.b1.a1', '120.i1.a1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [2, 480], 'label': '960.4620.60.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618456
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '60.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.b1', '20.f1.b1', '30.b1.b1', '30.c1.a1', '30.d1.b1'], 'contains': ['120.b1.a1', '120.i1.b1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [410, 480], 'label': '960.4620.60.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618457
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '60.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.h1.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.c1', '20.f1.c1', '30.b1.b1', '30.c1.b1', '30.d1.a1'], 'contains': ['120.b1.a1', '120.i1.c1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [3, 480], 'label': '960.4620.60.h1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.h1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.h1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618458
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '60.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.h1.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.d1', '20.f1.d1', '30.b1.a1', '30.c1.b1', '30.d1.b1'], 'contains': ['120.b1.a1', '120.i1.d1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [411, 480], 'label': '960.4620.60.h1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '60.h1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.h1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618459
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': ['15.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.d1.a1', '32.d1.b1'], 'contains': ['192.a1.a1', '320.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [640, 192], 'label': '960.4620.64.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.c1.a1', '32.a1.a1', '32.b1.a1'], 'normal_contains': ['192.a1.a1', '320.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618460
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '2.c1.a1', '2.d1.b1'], 'contains': ['8.b1.a1', '8.i1.b1', '12.h1.b1', '20.f1.b1'], 'core': '4.f1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [410, 640, 192, 4, 480, 8], 'label': '960.4620.4.f1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.b1', 'normal_contained_in': ['2.b1.b1', '2.c1.a1', '2.d1.b1'], 'normal_contains': ['8.b1.a1', '20.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618461
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '80.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '40.a1.a1', '40.b1.a1', '40.c1.a1', '40.d1.a1', '40.e1.a1', '40.f1.a1', '40.g1.a1'], 'contains': ['160.a1.a1', '160.b1.a1', '160.c1.a1', '240.a1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 480, 640], 'label': '960.4620.80.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.a1.a1', 'normal_contained_in': ['16.a1.a1', '40.a1.a1', '40.b1.a1', '40.c1.a1', '40.f1.a1', '40.e1.a1', '40.d1.a1', '40.g1.a1'], 'normal_contains': ['160.c1.a1', '160.a1.a1', '160.b1.a1', '240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618462
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '80.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '40.b1.a1', '40.h1.a1', '40.i1.a1', '40.i1.b1'], 'contains': ['160.a1.a1', '240.b1.a1'], 'core': '80.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4, 640, 8], 'label': '960.4620.80.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.b1.a1', 'normal_contained_in': ['16.b1.a1', '40.b1.a1'], 'normal_contains': ['160.a1.a1', '240.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618463
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '80.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.b1', '40.b1.a1', '40.h1.b1', '40.i1.c1', '40.i1.d1'], 'contains': ['160.a1.a1', '240.b1.b1'], 'core': '80.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [484, 640, 8], 'label': '960.4620.80.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.b1.b1', 'normal_contained_in': ['16.b1.b1', '40.b1.a1'], 'normal_contains': ['160.a1.a1', '240.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '80.b1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.b1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618464
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '80.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '40.c1.a1', '40.j1.a1'], 'contains': ['160.b1.a1', '240.c1.a1'], 'core': '80.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [240, 640, 480], 'label': '960.4620.80.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.c1.a1', 'normal_contained_in': ['16.c1.a1', '40.c1.a1'], 'normal_contains': ['160.b1.a1', '240.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618465
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '80.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.b1', '40.c1.a1', '40.j1.b1'], 'contains': ['160.b1.a1', '240.c1.b1'], 'core': '80.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [248, 640, 480], 'label': '960.4620.80.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.c1.b1', 'normal_contained_in': ['16.c1.b1', '40.c1.a1'], 'normal_contains': ['160.b1.a1', '240.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '80.c1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.c1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618466
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '40.a1.a1', '40.k1.a1'], 'contains': ['160.c1.a1', '160.d1.a1', '240.d1.a1'], 'core': '80.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [725, 488, 640], 'label': '960.4620.80.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.d1.a1', 'normal_contained_in': ['16.d1.a1', '40.a1.a1'], 'normal_contains': ['160.c1.a1', '240.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618467
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '80.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.b1', '40.a1.a1', '40.k1.b1'], 'contains': ['160.c1.a1', '160.d1.b1', '240.d1.b1'], 'core': '80.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [245, 488, 640], 'label': '960.4620.80.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.d1.b1', 'normal_contained_in': ['16.d1.b1', '40.a1.a1'], 'normal_contains': ['160.c1.a1', '240.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '80.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618468
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '80.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '40.a1.a1', '40.h1.a1', '40.h1.b1'], 'contains': ['160.a1.a1', '160.d1.a1', '160.d1.b1', '240.e1.a1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [725, 8, 640], 'label': '960.4620.80.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '80.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618469
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '80.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '40.f1.a1', '40.h1.a1', '40.h1.b1'], 'contains': ['160.a1.a1', '240.f1.a1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [729, 640, 8], 'label': '960.4620.80.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '80.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618470
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '80.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '40.a1.a1', '40.j1.a1', '40.j1.b1'], 'contains': ['160.b1.a1', '160.d1.a1', '160.d1.b1', '240.g1.a1'], 'core': '160.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [725, 480, 640], 'label': '960.4620.80.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '80.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618471
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '2.c1.b1', '2.d1.a1'], 'contains': ['8.b1.a1', '8.i1.c1', '12.h1.c1', '20.f1.c1'], 'core': '4.f1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3, 640, 192, 484, 480, 8], 'label': '960.4620.4.f1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.c1', 'normal_contained_in': ['2.b1.b1', '2.c1.b1', '2.d1.a1'], 'normal_contains': ['8.b1.a1', '20.f1.c1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618472
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '80.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '40.g1.a1', '40.j1.a1', '40.j1.b1'], 'contains': ['160.b1.a1', '240.h1.a1'], 'core': '160.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 640, 480], 'label': '960.4620.80.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '80.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618473
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '80.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '40.d1.a1', '40.k1.a1', '40.k1.b1'], 'contains': ['160.c1.a1', '240.i1.a1'], 'core': '160.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [252, 640, 488], 'label': '960.4620.80.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '80.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618474
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '80.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '40.e1.a1', '40.k1.a1', '40.k1.b1'], 'contains': ['160.c1.a1', '240.j1.a1'], 'core': '160.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 640, 488], 'label': '960.4620.80.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '40.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '80.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618475
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '96.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1', '48.b1.a1', '48.b1.b1', '48.e1.a1', '48.f1.a1'], 'contains': ['192.a1.a1', '480.a1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 192], 'label': '960.4620.96.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.a1', '48.b1.b1', '48.b1.a1'], 'normal_contains': ['192.a1.a1', '480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618476
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '96.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '48.a1.a1', '48.c1.a1', '48.c1.b1', '48.g1.a1', '48.h1.a1'], 'contains': ['192.a1.a1', '480.b1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [480, 192], 'label': '960.4620.96.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.b1.a1', 'normal_contained_in': ['32.b1.a1', '48.a1.a1', '48.c1.a1', '48.c1.b1'], 'normal_contains': ['192.a1.a1', '480.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618477
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '96.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '48.a1.a1', '48.d1.a1', '48.d1.b1', '48.i1.a1', '48.j1.a1'], 'contains': ['192.a1.a1', '480.c1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [488, 192], 'label': '960.4620.96.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '96.c1.a1', 'normal_contained_in': ['32.c1.a1', '48.a1.a1', '48.d1.a1', '48.d1.b1'], 'normal_contains': ['192.a1.a1', '480.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618478
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '96.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '48.d1.a1', '48.e1.a1', '48.g1.a1'], 'contains': ['192.a1.a1', '480.d1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [725, 192], 'label': '960.4620.96.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618479
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '96.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.b1', '48.d1.b1', '48.e1.a1', '48.g1.a1'], 'contains': ['192.a1.a1', '480.d1.b1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [245, 192], 'label': '960.4620.96.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '48.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618480
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '120.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '40.a1.a1', '60.a1.a1', '60.b1.a1', '60.c1.a1'], 'contains': ['240.a1.a1', '240.d1.a1', '240.d1.b1', '240.e1.a1', '240.g1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [725, 8, 480], 'label': '960.4620.120.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.a1.a1', 'normal_contained_in': ['24.a1.a1', '40.a1.a1', '60.a1.a1', '60.b1.a1', '60.c1.a1'], 'normal_contains': ['240.a1.a1', '240.d1.a1', '240.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '120.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618481
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '120.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '40.b1.a1', '60.a1.a1', '60.d1.a1', '60.e1.a1', '60.h1.a1', '60.h1.b1', '60.h1.c1', '60.h1.d1'], 'contains': ['240.a1.a1', '240.b1.a1', '240.b1.b1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4, 480], 'label': '960.4620.120.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.b1.a1', 'normal_contained_in': ['24.b1.a1', '40.b1.a1', '60.a1.a1', '60.d1.a1', '60.e1.a1'], 'normal_contains': ['240.a1.a1', '240.b1.b1', '240.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618482
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.c1.b1', '2.d1.b1'], 'contains': ['8.b1.a1', '8.i1.d1', '12.h1.d1', '20.f1.d1'], 'core': '4.f1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [411, 640, 192, 484, 480, 8], 'label': '960.4620.4.f1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.d1', 'normal_contained_in': ['2.b1.a1', '2.c1.b1', '2.d1.b1'], 'normal_contains': ['8.b1.a1', '20.f1.d1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618483
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '120.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '40.c1.a1', '60.b1.a1', '60.d1.a1', '60.f1.a1'], 'contains': ['240.a1.a1', '240.c1.a1', '240.c1.b1'], 'core': '120.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 240], 'label': '960.4620.120.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.c1.a1', 'normal_contained_in': ['24.c1.a1', '40.c1.a1', '60.b1.a1', '60.d1.a1', '60.f1.a1'], 'normal_contains': ['240.a1.a1', '240.c1.a1', '240.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '120.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618484
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '120.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '40.d1.a1', '60.c1.a1', '60.d1.a1', '60.g1.a1'], 'contains': ['240.a1.a1', '240.i1.a1'], 'core': '120.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [252, 480], 'label': '960.4620.120.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.d1.a1', 'normal_contained_in': ['24.d1.a1', '40.d1.a1', '60.c1.a1', '60.d1.a1', '60.g1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618485
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '120.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.e1.a1', '40.e1.a1', '60.c1.a1', '60.e1.a1', '60.f1.a1'], 'contains': ['240.a1.a1', '240.j1.a1'], 'core': '120.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 480], 'label': '960.4620.120.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.e1.a1', 'normal_contained_in': ['24.e1.a1', '40.e1.a1', '60.c1.a1', '60.e1.a1', '60.f1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618486
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '120.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.f1.a1', '40.f1.a1', '60.a1.a1', '60.f1.a1', '60.g1.a1'], 'contains': ['240.a1.a1', '240.f1.a1'], 'core': '120.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [729, 480], 'label': '960.4620.120.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.f1.a1', 'normal_contained_in': ['24.f1.a1', '40.f1.a1', '60.a1.a1', '60.f1.a1', '60.g1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618487
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '120.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.g1.a1', '40.g1.a1', '60.b1.a1', '60.e1.a1', '60.g1.a1'], 'contains': ['240.a1.a1', '240.h1.a1'], 'core': '120.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [5, 8], 'label': '960.4620.120.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.g1.a1', 'normal_contained_in': ['24.g1.a1', '40.g1.a1', '60.b1.a1', '60.e1.a1', '60.g1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618488
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '120.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1.a1', '40.h1.a1', '60.a1.a1'], 'contains': ['240.b1.a1', '240.e1.a1', '240.f1.a1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [729, 4], 'label': '960.4620.120.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '120.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618489
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '120.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1.b1', '40.h1.b1', '60.a1.a1'], 'contains': ['240.b1.b1', '240.e1.a1', '240.f1.a1'], 'core': '240.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [729, 484], 'label': '960.4620.120.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '120.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618490
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '120.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1.a1', '40.i1.a1', '60.h1.a1'], 'contains': ['240.b1.a1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [2], 'label': '960.4620.120.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '120.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618491
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '120.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1.b1', '40.i1.b1', '60.h1.b1'], 'contains': ['240.b1.a1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [410], 'label': '960.4620.120.i1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '120.i1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.i1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618492
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '120.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.h1.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1.c1', '40.i1.c1', '60.h1.c1'], 'contains': ['240.b1.b1'], 'core': '240.b1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [3], 'label': '960.4620.120.i1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '120.i1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.i1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618493
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.e1.a1', '8.f1.a1', '12.f1.a1', '20.g1.a1'], 'core': '4.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 480, 640, 192, 240, 488], 'label': '960.4620.4.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.c1.a1', '8.f1.a1', '8.e1.a1', '12.f1.a1', '20.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618494
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '120.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.h1.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1.d1', '40.i1.d1', '60.h1.d1'], 'contains': ['240.b1.b1'], 'core': '240.b1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [411], 'label': '960.4620.120.i1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '120.i1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.i1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618495
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '120.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1.a1', '40.j1.a1', '60.b1.a1'], 'contains': ['240.c1.a1', '240.g1.a1', '240.h1.a1'], 'core': '240.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 240], 'label': '960.4620.120.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '120.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618496
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '120.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1.b1', '40.j1.b1', '60.b1.a1'], 'contains': ['240.c1.b1', '240.g1.a1', '240.h1.a1'], 'core': '240.c1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 248], 'label': '960.4620.120.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '120.j1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.j1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618497
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '120.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.k1.a1', '40.k1.a1', '60.c1.a1'], 'contains': ['240.d1.a1', '240.i1.a1', '240.j1.a1'], 'core': '240.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 252], 'label': '960.4620.120.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '120.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618498
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '120.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.k1.b1', '40.k1.b1', '60.c1.a1'], 'contains': ['240.d1.b1', '240.i1.a1', '240.j1.a1'], 'core': '240.d1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [481, 252], 'label': '960.4620.120.k1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '60.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '120.k1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.k1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618499
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '160.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '80.a1.a1', '80.b1.a1', '80.b1.b1', '80.e1.a1', '80.f1.a1'], 'contains': ['320.a1.a1', '480.a1.a1'], 'core': '160.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 640], 'label': '960.4620.160.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '160.a1.a1', 'normal_contained_in': ['32.a1.a1', '80.a1.a1', '80.b1.b1', '80.b1.a1'], 'normal_contains': ['320.a1.a1', '480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '160.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618500
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '160.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '80.a1.a1', '80.c1.a1', '80.c1.b1', '80.g1.a1', '80.h1.a1'], 'contains': ['320.a1.a1', '480.b1.a1'], 'core': '160.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [480, 640], 'label': '960.4620.160.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '160.b1.a1', 'normal_contained_in': ['32.b1.a1', '80.a1.a1', '80.c1.a1', '80.c1.b1'], 'normal_contains': ['320.a1.a1', '480.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '160.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618501
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '160.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '80.a1.a1', '80.d1.a1', '80.d1.b1', '80.i1.a1', '80.j1.a1'], 'contains': ['320.a1.a1', '480.c1.a1'], 'core': '160.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [488, 640], 'label': '960.4620.160.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '160.c1.a1', 'normal_contained_in': ['32.c1.a1', '80.a1.a1', '80.d1.a1', '80.d1.b1'], 'normal_contains': ['320.a1.a1', '480.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '160.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618502
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '160.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '80.d1.a1', '80.e1.a1', '80.g1.a1'], 'contains': ['320.a1.a1', '480.d1.a1'], 'core': '320.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [725, 640], 'label': '960.4620.160.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '160.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618503
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '160.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1.b1', '80.d1.b1', '80.e1.a1', '80.g1.a1'], 'contains': ['320.a1.a1', '480.d1.b1'], 'core': '320.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [245, 640], 'label': '960.4620.160.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '80.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '160.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618504
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.g1.a1', '4.h1.a1', '6.a1.a1', '10.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 488, 240, 640, 4, 480, 192], 'label': '960.4620.2.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.g1.a1', '4.h1.a1', '6.a1.a1', '10.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618505
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.d1.a1', '8.f1.a1', '8.g1.a1', '12.g1.a1', '20.h1.a1'], 'core': '4.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [729, 480, 640, 192, 252, 8], 'label': '960.4620.4.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.f1.a1', '8.d1.a1', '8.g1.a1', '12.g1.a1', '20.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618506
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '192.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['5.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.a1.a1', '96.b1.a1', '96.c1.a1', '96.d1.a1', '96.d1.b1'], 'contains': ['960.a1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [192], 'label': '960.4620.192.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '192.a1.a1', 'normal_contained_in': ['64.a1.a1', '96.c1.a1', '96.a1.a1', '96.b1.a1'], 'normal_contains': ['960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618507
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '240.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '80.a1.a1', '120.a1.a1', '120.b1.a1', '120.c1.a1', '120.d1.a1', '120.e1.a1', '120.f1.a1', '120.g1.a1'], 'contains': ['480.a1.a1', '480.b1.a1', '480.c1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 480], 'label': '960.4620.240.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.a1.a1', 'normal_contained_in': ['48.a1.a1', '80.a1.a1', '120.a1.a1', '120.b1.a1', '120.c1.a1', '120.f1.a1', '120.e1.a1', '120.d1.a1', '120.g1.a1'], 'normal_contains': ['480.c1.a1', '480.a1.a1', '480.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618508
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '240.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.b1.a1', '80.b1.a1', '120.b1.a1', '120.h1.a1', '120.i1.a1', '120.i1.b1'], 'contains': ['480.a1.a1'], 'core': '240.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4], 'label': '960.4620.240.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.b1.a1', 'normal_contained_in': ['48.b1.a1', '80.b1.a1', '120.b1.a1'], 'normal_contains': ['480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618509
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '240.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.b1.b1', '80.b1.b1', '120.b1.a1', '120.h1.b1', '120.i1.c1', '120.i1.d1'], 'contains': ['480.a1.a1'], 'core': '240.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [484], 'label': '960.4620.240.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.b1.b1', 'normal_contained_in': ['48.b1.b1', '80.b1.b1', '120.b1.a1'], 'normal_contains': ['480.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.b1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.b1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618510
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '240.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.c1.a1', '80.c1.a1', '120.c1.a1', '120.j1.a1'], 'contains': ['480.b1.a1'], 'core': '240.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [240], 'label': '960.4620.240.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.c1.a1', 'normal_contained_in': ['48.c1.a1', '80.c1.a1', '120.c1.a1'], 'normal_contains': ['480.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618511
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '240.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.c1.b1', '80.c1.b1', '120.c1.a1', '120.j1.b1'], 'contains': ['480.b1.a1'], 'core': '240.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [248], 'label': '960.4620.240.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.c1.b1', 'normal_contained_in': ['48.c1.b1', '80.c1.b1', '120.c1.a1'], 'normal_contains': ['480.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.c1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.c1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618512
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '240.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.d1.a1', '80.d1.a1', '120.a1.a1', '120.k1.a1'], 'contains': ['480.c1.a1', '480.d1.a1'], 'core': '240.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [725, 488], 'label': '960.4620.240.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.d1.a1', 'normal_contained_in': ['48.d1.a1', '80.d1.a1', '120.a1.a1'], 'normal_contains': ['480.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618513
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '240.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.d1.b1', '80.d1.b1', '120.a1.a1', '120.k1.b1'], 'contains': ['480.c1.a1', '480.d1.b1'], 'core': '240.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [245, 488], 'label': '960.4620.240.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.d1.b1', 'normal_contained_in': ['48.d1.b1', '80.d1.b1', '120.a1.a1'], 'normal_contains': ['480.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '240.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618514
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '240.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1.a1', '80.e1.a1', '120.a1.a1', '120.h1.a1', '120.h1.b1'], 'contains': ['480.a1.a1', '480.d1.a1', '480.d1.b1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [725, 8], 'label': '960.4620.240.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '240.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618515
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '240.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.f1.a1', '80.f1.a1', '120.f1.a1', '120.h1.a1', '120.h1.b1'], 'contains': ['480.a1.a1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [729], 'label': '960.4620.240.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '240.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618516
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': ['192.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '10.b1.a1', '10.b1.b1', '10.c1.a1', '10.c1.b1', '10.d1.a1', '10.d1.b1', '15.a1.a1'], 'core': '5.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 8, 480, 2, 640, 240, 4], 'label': '960.4620.5.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '5.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['10.a1.a1', '10.b1.a1', '10.b1.b1', '10.c1.b1', '10.c1.a1', '10.d1.b1', '10.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '5.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618517
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '240.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.g1.a1', '80.g1.a1', '120.a1.a1', '120.j1.a1', '120.j1.b1'], 'contains': ['480.b1.a1', '480.d1.a1', '480.d1.b1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [725, 480], 'label': '960.4620.240.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '240.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618518
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '240.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1.a1', '80.h1.a1', '120.g1.a1', '120.j1.a1', '120.j1.b1'], 'contains': ['480.b1.a1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5], 'label': '960.4620.240.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '240.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618519
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '240.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.i1.a1', '80.i1.a1', '120.d1.a1', '120.k1.a1', '120.k1.b1'], 'contains': ['480.c1.a1'], 'core': '480.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [252], 'label': '960.4620.240.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '240.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618520
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '240.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.j1.a1', '80.j1.a1', '120.e1.a1', '120.k1.a1', '120.k1.b1'], 'contains': ['480.c1.a1'], 'core': '480.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1], 'label': '960.4620.240.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '120.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '240.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618521
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '320.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '160.a1.a1', '160.b1.a1', '160.c1.a1', '160.d1.a1', '160.d1.b1'], 'contains': ['960.a1.a1'], 'core': '320.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [640], 'label': '960.4620.320.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '320.a1.a1', 'normal_contained_in': ['64.a1.a1', '160.c1.a1', '160.a1.a1', '160.b1.a1'], 'normal_contains': ['960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '320.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618522
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '480.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '160.a1.a1', '240.a1.a1', '240.b1.a1', '240.b1.b1', '240.e1.a1', '240.f1.a1'], 'contains': ['960.a1.a1'], 'core': '480.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8], 'label': '960.4620.480.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '480.a1.a1', 'normal_contained_in': ['96.a1.a1', '160.a1.a1', '240.a1.a1', '240.b1.b1', '240.b1.a1'], 'normal_contains': ['960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '480.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618523
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '480.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.b1.a1', '160.b1.a1', '240.a1.a1', '240.c1.a1', '240.c1.b1', '240.g1.a1', '240.h1.a1'], 'contains': ['960.a1.a1'], 'core': '480.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [480], 'label': '960.4620.480.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '480.b1.a1', 'normal_contained_in': ['96.b1.a1', '160.b1.a1', '240.a1.a1', '240.c1.a1', '240.c1.b1'], 'normal_contains': ['960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '480.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618524
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '480.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.c1.a1', '160.c1.a1', '240.a1.a1', '240.d1.a1', '240.d1.b1', '240.i1.a1', '240.j1.a1'], 'contains': ['960.a1.a1'], 'core': '480.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [488], 'label': '960.4620.480.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '480.c1.a1', 'normal_contained_in': ['96.c1.a1', '160.c1.a1', '240.a1.a1', '240.d1.a1', '240.d1.b1'], 'normal_contains': ['960.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '480.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618525
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '480.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.d1.a1', '160.d1.a1', '240.d1.a1', '240.e1.a1', '240.g1.a1'], 'contains': ['960.a1.a1'], 'core': '960.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [725], 'label': '960.4620.480.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '480.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618526
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '480.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.d1.b1', '160.d1.b1', '240.d1.b1', '240.e1.a1', '240.g1.a1'], 'contains': ['960.a1.a1'], 'core': '960.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [245], 'label': '960.4620.480.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '240.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '480.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618527
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '6.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1', '12.d1.a1', '12.e1.a1', '12.f1.a1', '12.g1.a1', '30.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 480, 240, 192, 4, 488], 'label': '960.4620.6.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1', '12.d1.a1', '12.e1.a1', '12.f1.a1', '12.g1.a1', '30.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618528
{'ambient': '960.4620', '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.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['192.a1.a1', '320.a1.a1', '480.a1.a1', '480.b1.a1', '480.c1.a1', '480.d1.a1', '480.d1.b1'], 'contains': [], 'core': '960.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '960.4620.960.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '960.a1.a1', 'normal_contained_in': ['192.a1.a1', '320.a1.a1', '480.c1.a1', '480.a1.a1', '480.b1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '960.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '960.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618529
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.h1.a1', '12.h1.d1', '30.b1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [729, 8, 192, 4, 2, 480], 'label': '960.4620.6.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618530
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.h1.b1', '12.h1.c1', '30.b1.b1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [729, 8, 192, 4, 410, 480], 'label': '960.4620.6.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618531
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.d1.a1', '12.h1.a1', '12.h1.b1', '30.c1.a1'], 'core': '12.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [2, 8, 192, 4, 240, 480], 'label': '960.4620.6.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618532
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.b1', '3.a1.a1'], 'contains': ['12.d1.a1', '12.h1.c1', '12.h1.d1', '30.c1.b1'], 'core': '12.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [3, 8, 192, 484, 240, 480], 'label': '960.4620.6.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.c1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618533
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.a1.a1'], 'contains': ['12.e1.a1', '12.h1.a1', '12.h1.c1', '30.d1.a1'], 'core': '12.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 8, 192, 4, 2, 480], 'label': '960.4620.6.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618534
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.b1', '3.a1.a1'], 'contains': ['12.e1.a1', '12.h1.b1', '12.h1.d1', '30.d1.b1'], 'core': '12.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 8, 192, 4, 410, 480], 'label': '960.4620.6.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618535
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '16.d1.a1', '16.d1.b1', '16.e1.a1', '16.g1.a1', '24.a1.a1', '40.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [725, 480, 640, 8, 192], 'label': '960.4620.8.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'normal_contains': ['16.a1.a1', '16.d1.a1', '16.d1.b1', '24.a1.a1', '40.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618536
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.f1.a1', '4.f1.d1', '6.b1.a1', '10.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [729, 8, 192, 4, 2, 640, 480], 'label': '960.4620.2.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.f1.d1', '4.f1.a1', '10.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618537
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.f1.b1', '4.f1.c1', '4.f1.d1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.b1.b1', '24.b1.a1', '40.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4, 640, 192, 480, 8], 'label': '960.4620.8.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1', '4.d1.a1', '4.e1.a1', '4.f1.d1', '4.f1.a1', '4.f1.c1', '4.f1.b1'], 'normal_contains': ['16.a1.a1', '16.b1.b1', '16.b1.a1', '24.b1.a1', '40.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618538
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.d1.a1', '4.g1.a1'], 'contains': ['16.a1.a1', '16.c1.a1', '16.c1.b1', '24.c1.a1', '40.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 640, 192, 240, 480], 'label': '960.4620.8.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.b1.a1', '4.d1.a1', '4.g1.a1'], 'normal_contains': ['16.a1.a1', '16.c1.a1', '16.c1.b1', '24.c1.a1', '40.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618539
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.d1.a1', '4.h1.a1'], 'contains': ['16.a1.a1', '16.i1.a1', '24.d1.a1', '40.d1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [252, 640, 192, 480, 488], 'label': '960.4620.8.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': ['4.c1.a1', '4.d1.a1', '4.h1.a1'], 'normal_contains': ['16.a1.a1', '24.d1.a1', '40.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618540
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.e1.a1', '4.g1.a1'], 'contains': ['16.a1.a1', '16.j1.a1', '24.e1.a1', '40.e1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 640, 192, 480, 488], 'label': '960.4620.8.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': ['4.c1.a1', '4.e1.a1', '4.g1.a1'], 'normal_contains': ['16.a1.a1', '24.e1.a1', '40.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618541
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.g1.a1', '4.h1.a1'], 'contains': ['16.a1.a1', '16.f1.a1', '24.f1.a1', '40.f1.a1'], 'core': '8.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [729, 640, 192, 480, 8], 'label': '960.4620.8.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': ['4.a1.a1', '4.g1.a1', '4.h1.a1'], 'normal_contains': ['16.a1.a1', '24.f1.a1', '40.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618542
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.e1.a1', '4.h1.a1'], 'contains': ['16.a1.a1', '16.h1.a1', '24.g1.a1', '40.g1.a1'], 'core': '8.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [5, 640, 192, 8, 480], 'label': '960.4620.8.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': ['4.b1.a1', '4.e1.a1', '4.h1.a1'], 'normal_contains': ['16.a1.a1', '24.g1.a1', '40.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618543
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.b1.a1', '16.e1.a1', '16.f1.a1', '24.h1.a1', '40.h1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [729, 640, 192, 4, 8], 'label': '960.4620.8.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618544
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.b1.b1', '16.e1.a1', '16.f1.a1', '24.h1.b1', '40.h1.b1'], 'core': '16.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [729, 640, 192, 484, 8], 'label': '960.4620.8.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618545
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1'], 'contains': ['16.b1.a1', '24.i1.a1', '40.i1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2, 4, 8, 192, 640], 'label': '960.4620.8.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618546
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.b1'], 'contains': ['16.b1.a1', '24.i1.b1', '40.i1.b1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [410, 4, 8, 192, 640], 'label': '960.4620.8.i1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.b1', 'old_label': '8.i1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618547
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.f1.b1', '4.f1.c1', '6.b1.b1', '10.b1.b1'], 'core': '2.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [729, 8, 192, 4, 410, 640, 480], 'label': '960.4620.2.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.f1.c1', '4.f1.b1', '10.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618554
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '10.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.b1.a1', '20.c1.a1', '20.d1.a1', '20.e1.a1', '20.g1.a1', '20.h1.a1', '30.a1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 480, 488, 4, 240, 640], 'label': '960.4620.10.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.a1.a1', 'normal_contained_in': ['2.a1.a1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '20.b1.a1', '20.c1.a1', '20.d1.a1', '20.e1.a1', '20.g1.a1', '20.h1.a1', '30.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618555
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.f1.a1', '20.f1.d1', '30.b1.a1'], 'core': '10.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [729, 640, 8, 2, 4, 480], 'label': '960.4620.10.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.b1.a1', 'normal_contained_in': ['2.b1.a1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '20.f1.d1', '20.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618556
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '10.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.f1.b1', '20.f1.c1', '30.b1.b1'], 'core': '10.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [729, 640, 8, 410, 4, 480], 'label': '960.4620.10.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.b1.b1', 'normal_contained_in': ['2.b1.b1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '20.f1.c1', '20.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '10.b1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.b1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618557
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': ['96.d1.a1', '96.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '5.a1.a1'], 'contains': ['20.d1.a1', '20.f1.a1', '20.f1.b1', '30.c1.a1'], 'core': '10.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 640, 8, 240, 4, 480], 'label': '960.4620.10.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.c1.a1', 'normal_contained_in': ['2.c1.a1', '5.a1.a1'], 'normal_contains': ['20.d1.a1', '20.f1.a1', '20.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '10.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618558
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '2.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': ['480.d1.a1', '480.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.a1', '4.f1.a1', '4.f1.b1', '6.c1.a1', '10.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 8, 192, 4, 240, 640, 480], 'label': '960.4620.2.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.d1.a1', '4.f1.a1', '4.f1.b1', '10.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618559
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '10.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': ['96.d1.a1', '96.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.b1', '5.a1.a1'], 'contains': ['20.d1.a1', '20.f1.c1', '20.f1.d1', '30.c1.b1'], 'core': '10.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3, 640, 8, 240, 484, 480], 'label': '960.4620.10.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.c1.b1', 'normal_contained_in': ['2.c1.b1', '5.a1.a1'], 'normal_contains': ['20.d1.a1', '20.f1.d1', '20.f1.c1'], 'normalizer': '1.a1.a1', 'old_label': '10.c1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.c1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618560
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '10.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': ['96.d1.a1', '96.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '5.a1.a1'], 'contains': ['20.e1.a1', '20.f1.a1', '20.f1.c1', '30.d1.a1'], 'core': '10.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 640, 8, 2, 4, 480], 'label': '960.4620.10.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.d1.a1', 'normal_contained_in': ['2.d1.a1', '5.a1.a1'], 'normal_contains': ['20.e1.a1', '20.f1.a1', '20.f1.c1'], 'normalizer': '1.a1.a1', 'old_label': '10.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618561
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '10.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': ['96.d1.a1', '96.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.b1', '5.a1.a1'], 'contains': ['20.e1.a1', '20.f1.b1', '20.f1.d1', '30.d1.b1'], 'core': '10.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 640, 8, 410, 4, 480], 'label': '960.4620.10.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '10.d1.b1', 'normal_contained_in': ['2.d1.b1', '5.a1.a1'], 'normal_contains': ['20.e1.a1', '20.f1.d1', '20.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '10.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618562
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '12.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1', '6.b1.a1', '6.b1.b1'], 'contains': ['24.a1.a1', '24.b1.a1', '24.f1.a1', '24.h1.a1', '24.h1.b1', '60.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [729, 480, 192, 4, 8], 'label': '960.4620.12.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '24.b1.a1', '24.f1.a1', '60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618563
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '24.c1.a1', '24.g1.a1', '24.j1.a1', '24.j1.b1', '60.b1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [5, 240, 192, 8, 480], 'label': '960.4620.12.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.b1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '24.c1.a1', '24.g1.a1', '60.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618564
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '24.d1.a1', '24.e1.a1', '24.k1.a1', '24.k1.b1', '60.c1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 480, 192, 252, 488], 'label': '960.4620.12.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.c1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '24.e1.a1', '24.d1.a1', '60.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618565
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.a1.a1', '6.c1.a1', '6.c1.b1'], 'contains': ['24.b1.a1', '24.c1.a1', '24.d1.a1', '60.d1.a1'], 'core': '12.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4, 192, 8, 240, 480], 'label': '960.4620.12.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1.a1', 'normal_contained_in': ['4.d1.a1', '6.a1.a1'], 'normal_contains': ['24.b1.a1', '24.c1.a1', '24.d1.a1', '60.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618566
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.a1.a1', '6.d1.a1', '6.d1.b1'], 'contains': ['24.b1.a1', '24.e1.a1', '24.g1.a1', '60.e1.a1'], 'core': '12.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 192, 488, 4, 480], 'label': '960.4620.12.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1.a1', 'normal_contained_in': ['4.e1.a1', '6.a1.a1'], 'normal_contains': ['24.b1.a1', '24.e1.a1', '24.g1.a1', '60.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618567
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.a1.a1'], 'contains': ['24.c1.a1', '24.e1.a1', '24.f1.a1', '60.f1.a1'], 'core': '12.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 192, 488, 240, 480], 'label': '960.4620.12.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.f1.a1', 'normal_contained_in': ['4.g1.a1', '6.a1.a1'], 'normal_contains': ['24.c1.a1', '24.f1.a1', '24.e1.a1', '60.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618568
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '6.a1.a1'], 'contains': ['24.d1.a1', '24.f1.a1', '24.g1.a1', '60.g1.a1'], 'core': '12.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [729, 192, 8, 252, 480], 'label': '960.4620.12.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.g1.a1', 'normal_contained_in': ['4.h1.a1', '6.a1.a1'], 'normal_contains': ['24.f1.a1', '24.d1.a1', '24.g1.a1', '60.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618569
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '2.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': ['480.d1.a1', '480.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.d1.a1', '4.f1.c1', '4.f1.d1', '6.c1.b1', '10.c1.b1'], 'core': '2.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3, 8, 192, 484, 240, 640, 480], 'label': '960.4620.2.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.d1.a1', '4.f1.d1', '4.f1.c1', '10.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618570
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.b1.a1', '6.c1.a1', '6.d1.a1'], 'contains': ['24.b1.a1', '24.i1.a1', '60.h1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [2, 192, 4, 480, 8], 'label': '960.4620.12.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618575
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.d1.a1', '8.e1.a1', '8.f1.a1', '8.g1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '48.a1.a1', '80.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 640, 192, 480], 'label': '960.4620.16.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.f1.a1', '8.e1.a1', '8.d1.a1', '8.g1.a1'], 'normal_contains': ['32.c1.a1', '32.a1.a1', '32.b1.a1', '48.a1.a1', '80.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618576
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.h1.a1', '8.i1.a1', '8.i1.b1'], 'contains': ['32.a1.a1', '48.b1.a1', '80.b1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4, 192, 8, 640], 'label': '960.4620.16.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.b1.a1'], 'normal_contains': ['32.a1.a1', '48.b1.a1', '80.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618577
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.h1.b1', '8.i1.c1', '8.i1.d1'], 'contains': ['32.a1.a1', '48.b1.b1', '80.b1.b1'], 'core': '16.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [484, 192, 8, 640], 'label': '960.4620.16.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.b1', 'normal_contained_in': ['8.b1.a1'], 'normal_contains': ['32.a1.a1', '48.b1.b1', '80.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618578
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.j1.a1'], 'contains': ['32.b1.a1', '48.c1.a1', '80.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [240, 192, 480, 640], 'label': '960.4620.16.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.c1.a1'], 'normal_contains': ['32.b1.a1', '48.c1.a1', '80.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618579
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.j1.b1'], 'contains': ['32.b1.a1', '48.c1.b1', '80.c1.b1'], 'core': '16.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [248, 192, 480, 640], 'label': '960.4620.16.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.b1', 'normal_contained_in': ['8.c1.a1'], 'normal_contains': ['32.b1.a1', '48.c1.b1', '80.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618580
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': ['480.d1.a1', '480.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.e1.a1', '4.f1.a1', '4.f1.c1', '6.d1.a1', '10.d1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 8, 192, 4, 2, 640, 480], 'label': '960.4620.2.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.e1.a1', '4.f1.a1', '4.f1.c1', '10.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618581
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.k1.a1'], 'contains': ['32.c1.a1', '32.d1.a1', '48.d1.a1', '80.d1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [725, 640, 192, 488], 'label': '960.4620.16.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.c1.a1', '48.d1.a1', '80.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618582
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.k1.b1'], 'contains': ['32.c1.a1', '32.d1.b1', '48.d1.b1', '80.d1.b1'], 'core': '16.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [245, 640, 192, 488], 'label': '960.4620.16.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.b1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.c1.a1', '48.d1.b1', '80.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618583
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.h1.a1', '8.h1.b1'], 'contains': ['32.a1.a1', '32.d1.a1', '32.d1.b1', '48.e1.a1', '80.e1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [725, 640, 192, 8], 'label': '960.4620.16.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618584
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.h1.a1', '8.h1.b1'], 'contains': ['32.a1.a1', '48.f1.a1', '80.f1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [729, 192, 8, 640], 'label': '960.4620.16.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618585
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.j1.a1', '8.j1.b1'], 'contains': ['32.b1.a1', '32.d1.a1', '32.d1.b1', '48.g1.a1', '80.g1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [725, 640, 192, 480], 'label': '960.4620.16.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618586
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '8.j1.a1', '8.j1.b1'], 'contains': ['32.b1.a1', '48.h1.a1', '80.h1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 192, 480, 640], 'label': '960.4620.16.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618587
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.k1.a1', '8.k1.b1'], 'contains': ['32.c1.a1', '48.i1.a1', '80.i1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [252, 192, 488, 640], 'label': '960.4620.16.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618588
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.k1.a1', '8.k1.b1'], 'contains': ['32.c1.a1', '48.j1.a1', '80.j1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 192, 488, 640], 'label': '960.4620.16.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618589
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '20.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.a1.a1', '10.b1.a1', '10.b1.b1'], 'contains': ['40.a1.a1', '40.b1.a1', '40.f1.a1', '40.h1.a1', '40.h1.b1', '60.a1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [729, 8, 4, 480, 640], 'label': '960.4620.20.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.a1.a1', 'normal_contained_in': ['4.a1.a1', '10.a1.a1', '10.b1.a1', '10.b1.b1'], 'normal_contains': ['40.a1.a1', '40.b1.a1', '40.f1.a1', '60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618590
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '20.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '10.a1.a1'], 'contains': ['40.a1.a1', '40.c1.a1', '40.g1.a1', '40.j1.a1', '40.j1.b1', '60.b1.a1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [5, 480, 8, 240, 640], 'label': '960.4620.20.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.b1.a1', 'normal_contained_in': ['4.b1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '40.c1.a1', '40.g1.a1', '60.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618591
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': ['480.d1.a1', '480.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.e1.a1', '4.f1.b1', '4.f1.d1', '6.d1.b1', '10.d1.b1'], 'core': '2.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 8, 192, 4, 410, 640, 480], 'label': '960.4620.2.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.e1.a1', '4.f1.d1', '4.f1.b1', '10.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618592
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '10.a1.a1'], 'contains': ['40.a1.a1', '40.d1.a1', '40.e1.a1', '40.k1.a1', '40.k1.b1', '60.c1.a1'], 'core': '20.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 488, 252, 480, 640], 'label': '960.4620.20.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.c1.a1', 'normal_contained_in': ['4.c1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '40.e1.a1', '40.d1.a1', '60.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618593
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '10.a1.a1', '10.c1.a1', '10.c1.b1'], 'contains': ['40.b1.a1', '40.c1.a1', '40.d1.a1', '60.d1.a1'], 'core': '20.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4, 480, 240, 640, 8], 'label': '960.4620.20.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.d1.a1', 'normal_contained_in': ['4.d1.a1', '10.a1.a1', '10.c1.b1', '10.c1.a1'], 'normal_contains': ['40.b1.a1', '40.c1.a1', '40.d1.a1', '60.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618594
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '20.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '10.a1.a1', '10.d1.a1', '10.d1.b1'], 'contains': ['40.b1.a1', '40.e1.a1', '40.g1.a1', '60.e1.a1'], 'core': '20.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 480, 4, 640, 488], 'label': '960.4620.20.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.e1.a1', 'normal_contained_in': ['4.e1.a1', '10.a1.a1', '10.d1.b1', '10.d1.a1'], 'normal_contains': ['40.b1.a1', '40.e1.a1', '40.g1.a1', '60.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618595
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '10.b1.a1', '10.c1.a1', '10.d1.a1'], 'contains': ['40.b1.a1', '40.i1.a1', '60.h1.a1'], 'core': '20.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 640, 480, 4, 8], 'label': '960.4620.20.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1.a1', 'normal_contained_in': ['4.f1.a1', '10.b1.a1', '10.c1.a1', '10.d1.a1'], 'normal_contains': ['40.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618596
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.b1', '10.b1.b1', '10.c1.a1', '10.d1.b1'], 'contains': ['40.b1.a1', '40.i1.b1', '60.h1.b1'], 'core': '20.f1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [410, 640, 480, 4, 8], 'label': '960.4620.20.f1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1.b1', 'normal_contained_in': ['4.f1.b1', '10.b1.b1', '10.c1.a1', '10.d1.b1'], 'normal_contains': ['40.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.f1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618597
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.c1', '10.b1.b1', '10.c1.b1', '10.d1.a1'], 'contains': ['40.b1.a1', '40.i1.c1', '60.h1.c1'], 'core': '20.f1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3, 640, 480, 484, 8], 'label': '960.4620.20.f1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1.c1', 'normal_contained_in': ['4.f1.c1', '10.b1.b1', '10.c1.b1', '10.d1.a1'], 'normal_contains': ['40.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.f1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1.c1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618598
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '20.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.d1', '10.b1.a1', '10.c1.b1', '10.d1.b1'], 'contains': ['40.b1.a1', '40.i1.d1', '60.h1.d1'], 'core': '20.f1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [411, 640, 480, 484, 8], 'label': '960.4620.20.f1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.f1.d1', 'normal_contained_in': ['4.f1.d1', '10.b1.a1', '10.c1.b1', '10.d1.b1'], 'normal_contains': ['40.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.f1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.f1.d1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618599
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '20.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '10.a1.a1'], 'contains': ['40.c1.a1', '40.e1.a1', '40.f1.a1', '60.f1.a1'], 'core': '20.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 480, 240, 640, 488], 'label': '960.4620.20.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.g1.a1', 'normal_contained_in': ['4.g1.a1', '10.a1.a1'], 'normal_contains': ['40.c1.a1', '40.f1.a1', '40.e1.a1', '60.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618600
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '20.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '10.a1.a1'], 'contains': ['40.d1.a1', '40.f1.a1', '40.g1.a1', '60.g1.a1'], 'core': '20.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [729, 480, 252, 640, 8], 'label': '960.4620.20.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '20.h1.a1', 'normal_contained_in': ['4.h1.a1', '10.a1.a1'], 'normal_contains': ['40.f1.a1', '40.d1.a1', '40.g1.a1', '60.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618601
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '24.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'contains': ['48.a1.a1', '48.d1.a1', '48.d1.b1', '48.e1.a1', '48.g1.a1', '120.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [725, 480, 192, 8], 'label': '960.4620.24.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'normal_contains': ['48.a1.a1', '48.d1.a1', '48.d1.b1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618602
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.b1.b1', '6.c1.a1', '6.c1.b1', '6.d1.a1', '6.d1.b1', '15.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 480, 240, 192, 2, 8, 4], 'label': '960.4620.3.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113618603
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1', '12.d1.a1', '12.e1.a1', '12.h1.a1', '12.h1.b1', '12.h1.c1', '12.h1.d1'], 'contains': ['48.a1.a1', '48.b1.a1', '48.b1.b1', '120.b1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4, 192, 8, 480], 'label': '960.4620.24.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.b1.a1', '12.a1.a1', '12.d1.a1', '12.e1.a1'], 'normal_contains': ['48.a1.a1', '48.b1.b1', '48.b1.a1', '120.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113618604
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.b1.a1', '12.d1.a1', '12.f1.a1'], 'contains': ['48.a1.a1', '48.c1.a1', '48.c1.b1', '120.c1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 192, 480, 240], 'label': '960.4620.24.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.c1.a1', 'normal_contained_in': ['8.c1.a1', '12.b1.a1', '12.d1.a1', '12.f1.a1'], 'normal_contains': ['48.a1.a1', '48.c1.a1', '48.c1.b1', '120.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618605
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.c1.a1', '12.d1.a1', '12.g1.a1'], 'contains': ['48.a1.a1', '48.i1.a1', '120.d1.a1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [252, 192, 488, 480], 'label': '960.4620.24.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.d1.a1', 'normal_contained_in': ['8.d1.a1', '12.c1.a1', '12.d1.a1', '12.g1.a1'], 'normal_contains': ['48.a1.a1', '120.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
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id: 113618606
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.c1.a1', '12.e1.a1', '12.f1.a1'], 'contains': ['48.a1.a1', '48.j1.a1', '120.e1.a1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 192, 488, 480], 'label': '960.4620.24.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.e1.a1', 'normal_contained_in': ['8.e1.a1', '12.c1.a1', '12.e1.a1', '12.f1.a1'], 'normal_contains': ['48.a1.a1', '120.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618607
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '12.a1.a1', '12.f1.a1', '12.g1.a1'], 'contains': ['48.a1.a1', '48.f1.a1', '120.f1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [729, 192, 8, 480], 'label': '960.4620.24.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.f1.a1', 'normal_contained_in': ['8.f1.a1', '12.a1.a1', '12.f1.a1', '12.g1.a1'], 'normal_contains': ['48.a1.a1', '120.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618608
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '12.b1.a1', '12.e1.a1', '12.g1.a1'], 'contains': ['48.a1.a1', '48.h1.a1', '120.g1.a1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [5, 192, 480, 8], 'label': '960.4620.24.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.g1.a1', 'normal_contained_in': ['8.g1.a1', '12.b1.a1', '12.e1.a1', '12.g1.a1'], 'normal_contains': ['48.a1.a1', '120.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618609
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '12.a1.a1'], 'contains': ['48.b1.a1', '48.e1.a1', '48.f1.a1', '120.h1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [729, 192, 8, 4], 'label': '960.4620.24.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618610
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.b1', '12.a1.a1'], 'contains': ['48.b1.b1', '48.e1.a1', '48.f1.a1', '120.h1.b1'], 'core': '48.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [729, 192, 8, 484], 'label': '960.4620.24.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618611
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '12.h1.a1'], 'contains': ['48.b1.a1', '120.i1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [2, 4, 8, 192], 'label': '960.4620.24.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '24.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
-
id: 113618612
{'ambient': '960.4620', 'aut_centralizer_order': None, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.b1', '12.h1.b1'], 'contains': ['48.b1.a1', '120.i1.b1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [410, 4, 8, 192], 'label': '960.4620.24.i1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.b1', 'old_label': '24.i1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1.b1', 'subgroup_fusion': None, 'weyl_group': None}
